instance search/unifier failure in Lean 3

trace.lean

1 goal
𝕜 : Type u_1,
E : Type u_2,
F : Type u_3,
G : Type u_4,
_inst_1 : normed_group.{u_2} E,
_inst_2 : normed_group.{u_3} F,
_inst_3 : normed_group.{u_4} G,
_inst_4 : nondiscrete_normed_field.{u_1} 𝕜,
_inst_5 : @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1,
_inst_6 : @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2,
_inst_7 : @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3
⊢ normed_group.{(max u_2 u_3 u_4)}
    (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
       (@normed_ring.to_ring.{u_1} 𝕜
          (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
       E
       (@uniform_space.to_topological_space.{u_2} E
          (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
       (@normed_group.to_add_comm_group.{u_2} E _inst_1)
       (prod.{u_3 u_4} F G)
       (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
          (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
             (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
                (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
       (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
          (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
       (@vector_space.to_module.{u_1 u_2} 𝕜 E
          (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
          (@normed_group.to_add_comm_group.{u_2} E _inst_1)
          (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
             _inst_1
             _inst_5))
       (@prod.module.{u_1 u_3 u_4} 𝕜 F G
          (@normed_ring.to_ring.{u_1} 𝕜
             (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
          (@normed_group.to_add_comm_group.{u_3} F _inst_2)
          (@normed_group.to_add_comm_group.{u_4} G _inst_3)
          (@vector_space.to_module.{u_1 u_3} 𝕜 F
             (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
             (@normed_group.to_add_comm_group.{u_3} F _inst_2)
             (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                _inst_2
                _inst_6))
          (@vector_space.to_module.{u_1 u_4} 𝕜 G
             (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
             (@normed_group.to_add_comm_group.{u_4} G _inst_3)
             (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                _inst_3
                _inst_7))))
operator_norm.lean:216:3: information trace output
[class_instances]  class-instance resolution trace
[class_instances] (0) ?x_0 : has_bind.{0 0} tactic.{0} := filter.ultrafilter.has_bind.{?u_0}
[type_context.is_def_eq_detail] [1]: has_bind.{0 0} tactic.{0} =?= has_bind.{?u_0 ?u_0} filter.ultrafilter.{?u_0}
[type_context.is_def_eq_detail] [2]: has_bind.{0 0} =?= has_bind.{?u_0 ?u_0}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= filter.ultrafilter.{?u_0}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= filter.ultrafilter.{?u_0}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= filter.ultrafilter.{?u_0}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= filter.ultrafilter.{?u_0} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= filter.ultrafilter.{?u_0} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= filter.ultrafilter.{?u_0} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= filter.ultrafilter.{?u_0}
[type_context.is_def_eq_detail] on failure: has_bind.{0 0} tactic.{0} =?= has_bind.{?u_0 ?u_0} filter.ultrafilter.{?u_0}
[type_context.is_def_eq] has_bind.{0 0} tactic.{0} =?= has_bind.{?u_0 ?u_0} filter.ultrafilter.{?u_0} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_0 : has_bind.{0 0} tactic.{0} := filter.has_bind.{?u_1}
[type_context.is_def_eq_detail] [1]: has_bind.{0 0} tactic.{0} =?= has_bind.{?u_1 ?u_1} filter.{?u_1}
[type_context.is_def_eq_detail] [2]: has_bind.{0 0} =?= has_bind.{?u_1 ?u_1}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= filter.{?u_1}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= filter.{?u_1}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= filter.{?u_1}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= filter.{?u_1} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= filter.{?u_1} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= filter.{?u_1} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= filter.{?u_1}
[type_context.is_def_eq_detail] on failure: has_bind.{0 0} tactic.{0} =?= has_bind.{?u_1 ?u_1} filter.{?u_1}
[type_context.is_def_eq] has_bind.{0 0} tactic.{0} =?= has_bind.{?u_1 ?u_1} filter.{?u_1} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_0 : has_bind.{0 0} tactic.{0} := @monad.to_has_bind.{?u_2 ?u_3} ?x_1 ?x_2
[type_context.is_def_eq_detail] [1]: has_bind.{0 0} tactic.{0} =?= has_bind.{?u_2 ?u_3} ?x_1
[type_context.is_def_eq_detail] [2]: has_bind.{0 0} =?= has_bind.{?u_2 ?u_3}
[type_context.is_def_eq_detail] process_assignment ?x_1 := tactic.{0}
[type_context.is_def_eq_detail] assign: ?x_1 := tactic.{0}
[type_context.is_def_eq] has_bind.{0 0} tactic.{0} =?= has_bind.{?u_2 ?u_3} ?x_1 ... success  (approximate mode)
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := free_abelian_group.monad.{?u_4}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_4 ?u_4} free_abelian_group.{?u_4}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_4 ?u_4}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= free_abelian_group.{?u_4}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= free_abelian_group.{?u_4}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= free_abelian_group.{?u_4}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= free_abelian_group.{?u_4} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= free_abelian_group.{?u_4} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= free_abelian_group.{?u_4} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= free_abelian_group.{?u_4}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_4 ?u_4} free_abelian_group.{?u_4}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_4 ?u_4} free_abelian_group.{?u_4} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := free_group.monad.{?u_5}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_5 ?u_5} free_group.{?u_5}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_5 ?u_5}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= free_group.{?u_5}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= free_group.{?u_5}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= free_group.{?u_5}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= free_group.{?u_5} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= free_group.{?u_5} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= free_group.{?u_5} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= free_group.{?u_5}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_5 ?u_5} free_group.{?u_5}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_5 ?u_5} free_group.{?u_5} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := filter.ultrafilter.monad.{?u_6}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_6 ?u_6} filter.ultrafilter.{?u_6}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_6 ?u_6}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= filter.ultrafilter.{?u_6}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= filter.ultrafilter.{?u_6}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= filter.ultrafilter.{?u_6}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= filter.ultrafilter.{?u_6} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= filter.ultrafilter.{?u_6} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= filter.ultrafilter.{?u_6} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= filter.ultrafilter.{?u_6}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_6 ?u_6} filter.ultrafilter.{?u_6}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_6 ?u_6} filter.ultrafilter.{?u_6} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := linarith.monad
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} linarith.linarith_monad
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{0 0}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= linarith.linarith_monad
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= state_t.{0 0} linarith.linarith_structure (except_t.{0 0} linarith.pcomp (@id.{2} Type))
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= state_t.{0 0} linarith.linarith_structure (except_t.{0 0} linarith.pcomp (@id.{2} Type))
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= state_t.{0 0} linarith.linarith_structure (except_t.{0 0} linarith.pcomp (@id.{2} Type)) α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= state_t.{0 0} linarith.linarith_structure (except_t.{0 0} linarith.pcomp (@id.{2} Type)) α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= state_t.{0 0} linarith.linarith_structure (except_t.{0 0} linarith.pcomp (@id.{2} Type)) α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= state_t.{0 0} linarith.linarith_structure (except_t.{0 0} linarith.pcomp (@id.{2} Type))
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} linarith.linarith_monad
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} linarith.linarith_monad ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := tactic.ring.monad
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} tactic.ring.ring_m
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{0 0}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= tactic.ring.ring_m
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= tactic.ring.ring_m
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= tactic.ring.ring_m
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= tactic.ring.ring_m α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= tactic.ring.ring_m α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= tactic.ring.ring_m α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= tactic.ring.ring_m
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} tactic.ring.ring_m
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} tactic.ring.ring_m ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := @pfun.monad.{?u_7 ?u_8} ?x_3
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_8 (max ?u_7 ?u_8)} (pfun.{?u_7 ?u_8} ?x_3)
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_8 (max ?u_7 ?u_8)}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= pfun.{?u_7 ?u_8} ?x_3
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= pfun.{?u_7 ?u_8} ?x_3
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= pfun.{?u_7 ?u_8} ?x_3
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= pfun.{?u_7 ?u_8} ?x_3 α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= pfun.{?u_7 ?u_8} ?x_3 α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= pfun.{?u_7 ?u_8} ?x_3 α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= pfun.{?u_7 ?u_8} ?x_3
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_8 (max ?u_7 ?u_8)} (pfun.{?u_7 ?u_8} ?x_3)
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_8 (max ?u_7 ?u_8)} (pfun.{?u_7 ?u_8} ?x_3) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := roption.monad.{?u_9}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_9 ?u_9} roption.{?u_9}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_9 ?u_9}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= roption.{?u_9}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= roption.{?u_9}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= roption.{?u_9}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= roption.{?u_9} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= roption.{?u_9} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= roption.{?u_9} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= roption.{?u_9}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_9 ?u_9} roption.{?u_9}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_9 ?u_9} roption.{?u_9} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := multiset.monad.{?u_10}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_10 ?u_10} multiset.{?u_10}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_10 ?u_10}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= multiset.{?u_10}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= multiset.{?u_10}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= multiset.{?u_10}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= multiset.{?u_10} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= multiset.{?u_10} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= multiset.{?u_10} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= multiset.{?u_10}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_10 ?u_10} multiset.{?u_10}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_10 ?u_10} multiset.{?u_10} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := set.monad.{?u_11}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_11 ?u_11} set.{?u_11}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_11 ?u_11}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= set.{?u_11}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= set.{?u_11}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= set.{?u_11}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= set.{?u_11} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= set.{?u_11} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= set.{?u_11} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= set.{?u_11}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_11 ?u_11} set.{?u_11}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_11 ?u_11} set.{?u_11} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := trunc.monad.{?u_12}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_12 ?u_12} trunc.{?u_12+1}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_12 ?u_12}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= trunc.{?u_12+1}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= trunc.{?u_12+1}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= trunc.{?u_12+1}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= trunc.{?u_12+1} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= trunc.{?u_12+1} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= trunc.{?u_12+1} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= trunc.{?u_12+1}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_12 ?u_12} trunc.{?u_12+1}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_12 ?u_12} trunc.{?u_12+1} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := with_zero.monad.{?u_13}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_13 ?u_13} with_zero.{?u_13}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_13 ?u_13}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= with_zero.{?u_13}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= with_zero.{?u_13}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= with_zero.{?u_13}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= with_zero.{?u_13} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= with_zero.{?u_13} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= with_zero.{?u_13} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= with_zero.{?u_13}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_13 ?u_13} with_zero.{?u_13}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_13 ?u_13} with_zero.{?u_13} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := with_one.monad.{?u_14}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_14 ?u_14} with_one.{?u_14}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_14 ?u_14}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= with_one.{?u_14}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= with_one.{?u_14}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= with_one.{?u_14}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= with_one.{?u_14} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= with_one.{?u_14} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= with_one.{?u_14} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= with_one.{?u_14}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_14 ?u_14} with_one.{?u_14}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_14 ?u_14} with_one.{?u_14} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := old_conv.monad
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} old_conv
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{0 0}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= old_conv
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= old_conv
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= old_conv
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= old_conv α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= old_conv α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= old_conv α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= old_conv
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} old_conv
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} old_conv ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := @sum.monad.{?u_15 ?u_16} ?x_4
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_15 (max ?u_16 ?u_15)} (sum.{?u_16 ?u_15} ?x_4)
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_15 (max ?u_16 ?u_15)}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= sum.{?u_16 ?u_15} ?x_4
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= sum.{?u_16 ?u_15} ?x_4
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= sum.{?u_16 ?u_15} ?x_4
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= sum.{?u_16 ?u_15} ?x_4 α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= sum.{?u_16 ?u_15} ?x_4 α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= sum.{?u_16 ?u_15} ?x_4 α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= sum.{?u_16 ?u_15} ?x_4
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_15 (max ?u_16 ?u_15)} (sum.{?u_16 ?u_15} ?x_4)
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_15 (max ?u_16 ?u_15)} (sum.{?u_16 ?u_15} ?x_4) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := parser.monad
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} parser
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{0 0}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= parser
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= parser
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= parser
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= parser α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= parser α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= parser α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= parser
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} parser
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} parser ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := list.monad.{?u_17}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_17 ?u_17} list.{?u_17}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_17 ?u_17}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= list.{?u_17}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= list.{?u_17}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= list.{?u_17}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= list.{?u_17} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= list.{?u_17} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= list.{?u_17} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= list.{?u_17}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_17 ?u_17} list.{?u_17}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_17 ?u_17} list.{?u_17} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := smt_tactic.monad
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} smt_tactic
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{0 0}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= smt_tactic
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= smt_tactic
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= smt_tactic
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= smt_tactic α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= smt_tactic α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= smt_tactic α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= smt_tactic
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} smt_tactic
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} smt_tactic ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := vm_core.monad
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} vm_core
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{0 0}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= vm_core
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= vm_core
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= vm_core
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= vm_core α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= vm_core α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= vm_core α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= vm_core
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} vm_core
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{0 0} vm_core ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := conv.monad.{?u_18}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_18 ?u_18} conv.{?u_18}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_18 ?u_18}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= conv.{?u_18}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= conv.{?u_18}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= conv.{?u_18}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= conv.{?u_18} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= conv.{?u_18} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= conv.{?u_18} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= conv.{?u_18}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_18 ?u_18} conv.{?u_18}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_18 ?u_18} conv.{?u_18} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := @option_t.monad.{?u_19 ?u_20} ?x_5 ?x_6
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_19 ?u_20} (option_t.{?u_19 ?u_20} ?x_5)
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_19 ?u_20}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= option_t.{?u_19 ?u_20} ?x_5
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= option_t.{?u_19 ?u_20} ?x_5
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= option_t.{?u_19 ?u_20} ?x_5
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= option_t.{?u_19 ?u_20} ?x_5 α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= option_t.{?u_19 ?u_20} ?x_5 α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= option_t.{?u_19 ?u_20} ?x_5 α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= option_t.{?u_19 ?u_20} ?x_5
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_19 ?u_20} (option_t.{?u_19 ?u_20} ?x_5)
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_19 ?u_20} (option_t.{?u_19 ?u_20} ?x_5) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := @reader_t.monad.{?u_21 ?u_22} ?x_7 ?x_8 ?x_9
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_21 (max ?u_21 ?u_22)} (reader_t.{?u_21 ?u_22} ?x_7 ?x_8)
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_21 (max ?u_21 ?u_22)}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= reader_t.{?u_21 ?u_22} ?x_7 ?x_8
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= reader_t.{?u_21 ?u_22} ?x_7 ?x_8
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= reader_t.{?u_21 ?u_22} ?x_7 ?x_8
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= reader_t.{?u_21 ?u_22} ?x_7 ?x_8 α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= reader_t.{?u_21 ?u_22} ?x_7 ?x_8 α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= reader_t.{?u_21 ?u_22} ?x_7 ?x_8 α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= reader_t.{?u_21 ?u_22} ?x_7 ?x_8
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_21 (max ?u_21 ?u_22)} (reader_t.{?u_21 ?u_22} ?x_7 ?x_8)
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_21 (max ?u_21 ?u_22)} (reader_t.{?u_21 ?u_22} ?x_7 ?x_8) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := @state_t.monad.{?u_23 ?u_24} ?x_10 ?x_11 ?x_12
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_23 (max ?u_23 ?u_24)} (state_t.{?u_23 ?u_24} ?x_10 ?x_11)
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_23 (max ?u_23 ?u_24)}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= state_t.{?u_23 ?u_24} ?x_10 ?x_11
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= state_t.{?u_23 ?u_24} ?x_10 ?x_11
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= state_t.{?u_23 ?u_24} ?x_10 ?x_11
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= state_t.{?u_23 ?u_24} ?x_10 ?x_11 α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= state_t.{?u_23 ?u_24} ?x_10 ?x_11 α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= state_t.{?u_23 ?u_24} ?x_10 ?x_11 α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= state_t.{?u_23 ?u_24} ?x_10 ?x_11
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_23 (max ?u_23 ?u_24)} (state_t.{?u_23 ?u_24} ?x_10 ?x_11)
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_23 (max ?u_23 ?u_24)} (state_t.{?u_23 ?u_24} ?x_10 ?x_11) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := @except_t.monad.{?u_25 ?u_26} ?x_13 ?x_14 ?x_15
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_25 ?u_26} (except_t.{?u_25 ?u_26} ?x_13 ?x_14)
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_25 ?u_26}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= except_t.{?u_25 ?u_26} ?x_13 ?x_14
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= except_t.{?u_25 ?u_26} ?x_13 ?x_14
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= except_t.{?u_25 ?u_26} ?x_13 ?x_14
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= except_t.{?u_25 ?u_26} ?x_13 ?x_14 α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= except_t.{?u_25 ?u_26} ?x_13 ?x_14 α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= except_t.{?u_25 ?u_26} ?x_13 ?x_14 α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= except_t.{?u_25 ?u_26} ?x_13 ?x_14
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_25 ?u_26} (except_t.{?u_25 ?u_26} ?x_13 ?x_14)
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_25 ?u_26} (except_t.{?u_25 ?u_26} ?x_13 ?x_14) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := @except.monad.{?u_27 ?u_28} ?x_16
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_28 (max ?u_27 ?u_28)} (except.{?u_27 ?u_28} ?x_16)
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_28 (max ?u_27 ?u_28)}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= except.{?u_27 ?u_28} ?x_16
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= except.{?u_27 ?u_28} ?x_16
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= except.{?u_27 ?u_28} ?x_16
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= except.{?u_27 ?u_28} ?x_16 α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= except.{?u_27 ?u_28} ?x_16 α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= except.{?u_27 ?u_28} ?x_16 α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= except.{?u_27 ?u_28} ?x_16
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_28 (max ?u_27 ?u_28)} (except.{?u_27 ?u_28} ?x_16)
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_28 (max ?u_27 ?u_28)} (except.{?u_27 ?u_28} ?x_16) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := id.monad.{?u_29}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_29 ?u_29} (@id.{?u_29+2} (Type ?u_29))
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_29 ?u_29}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= @id.{?u_29+2} (Type ?u_29)
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= @id.{?u_29+2} (Type ?u_29)
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= @id.{?u_29+2} (Type ?u_29)
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= @id.{?u_29+2} (Type ?u_29) α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= @id.{?u_29+2} (Type ?u_29) α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= @id.{?u_29+2} (Type ?u_29) α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= @id.{?u_29+2} (Type ?u_29)
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_29 ?u_29} (@id.{?u_29+2} (Type ?u_29))
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_29 ?u_29} (@id.{?u_29+2} (Type ?u_29)) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := task.monad.{?u_30}
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_30 ?u_30} task.{?u_30}
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_30 ?u_30}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= task.{?u_30}
[type_context.is_def_eq_detail] unfold left: tactic
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= task.{?u_30}
[type_context.is_def_eq_detail] unfold left: interaction_monad
[type_context.is_def_eq_detail] [4]: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= task.{?u_30}
[type_context.is_def_eq_detail] [5]: id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= task.{?u_30} α
[type_context.is_def_eq_detail] unfold left: id_rhs
[type_context.is_def_eq_detail] [6]: tactic_state → interaction_monad.result.{0} tactic_state α =?= task.{?u_30} α
[type_context.is_def_eq_detail] on failure: tactic_state → interaction_monad.result.{0} tactic_state α =?= task.{?u_30} α
[type_context.is_def_eq_detail] on failure: λ (α : Type), id_rhs.{2} Type (tactic_state → interaction_monad.result.{0} tactic_state α) =?= task.{?u_30}
[type_context.is_def_eq_detail] on failure: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_30 ?u_30} task.{?u_30}
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_30 ?u_30} task.{?u_30} ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_2 : monad.{0 0} tactic.{0} := @interaction_monad.monad.{?u_31} ?x_17
[type_context.is_def_eq_detail] [1]: monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_31 ?u_31} (interaction_monad.{?u_31} ?x_17)
[type_context.is_def_eq_detail] [2]: monad.{?u_2 ?u_3} =?= monad.{?u_31 ?u_31}
[type_context.is_def_eq_detail] [2]: tactic.{0} =?= interaction_monad.{?u_31} ?x_17
[type_context.is_def_eq_detail] [3]: interaction_monad.{0} tactic_state =?= interaction_monad.{?u_31} ?x_17
[type_context.is_def_eq_detail] process_assignment ?x_17 := tactic_state
[type_context.is_def_eq_detail] assign: ?x_17 := tactic_state
[type_context.is_def_eq] monad.{?u_2 ?u_3} ?x_1 =?= monad.{?u_31 ?u_31} (interaction_monad.{?u_31} ?x_17) ... success  (approximate mode)
operator_norm.lean:216:3: information trace output
[class_instances]  class-instance resolution trace
[class_instances] (0) ?x_0 : normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) := _inst_3
[type_context.is_def_eq_detail] [1]: normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= normed_group.{u_4} G
[type_context.is_def_eq_detail] [2]: normed_group.{(max u_2 u_3 u_4)} =?= normed_group.{u_4}
[type_context.is_def_eq_detail] [2]: @continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
  (@normed_ring.to_ring.{u_1} 𝕜
     (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  E
  (@uniform_space.to_topological_space.{u_2} E
     (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
  (@normed_group.to_add_comm_group.{u_2} E _inst_1)
  (prod.{u_3 u_4} F G)
  (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
  (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
  (@vector_space.to_module.{u_1 u_2} 𝕜 E
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
        _inst_1
        _inst_5))
  (@prod.module.{u_1 u_3 u_4} 𝕜 F G
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)
     (@vector_space.to_module.{u_1 u_3} 𝕜 F
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_2
           _inst_6))
     (@vector_space.to_module.{u_1 u_4} 𝕜 G
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_3
           _inst_7))) =?= G
[type_context.is_def_eq_detail] on failure: @continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
  (@normed_ring.to_ring.{u_1} 𝕜
     (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  E
  (@uniform_space.to_topological_space.{u_2} E
     (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
  (@normed_group.to_add_comm_group.{u_2} E _inst_1)
  (prod.{u_3 u_4} F G)
  (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
  (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
  (@vector_space.to_module.{u_1 u_2} 𝕜 E
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
        _inst_1
        _inst_5))
  (@prod.module.{u_1 u_3 u_4} 𝕜 F G
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)
     (@vector_space.to_module.{u_1 u_3} 𝕜 F
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_2
           _inst_6))
     (@vector_space.to_module.{u_1 u_4} 𝕜 G
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_3
           _inst_7))) =?= G
[type_context.is_def_eq_detail] on failure: normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= normed_group.{u_4} G
[type_context.is_def_eq] normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= normed_group.{u_4} G ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_0 : normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) := _inst_2
[type_context.is_def_eq_detail] [1]: normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= normed_group.{u_3} F
[type_context.is_def_eq_detail] [2]: normed_group.{(max u_2 u_3 u_4)} =?= normed_group.{u_3}
[type_context.is_def_eq_detail] [2]: @continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
  (@normed_ring.to_ring.{u_1} 𝕜
     (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  E
  (@uniform_space.to_topological_space.{u_2} E
     (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
  (@normed_group.to_add_comm_group.{u_2} E _inst_1)
  (prod.{u_3 u_4} F G)
  (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
  (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
  (@vector_space.to_module.{u_1 u_2} 𝕜 E
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
        _inst_1
        _inst_5))
  (@prod.module.{u_1 u_3 u_4} 𝕜 F G
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)
     (@vector_space.to_module.{u_1 u_3} 𝕜 F
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_2
           _inst_6))
     (@vector_space.to_module.{u_1 u_4} 𝕜 G
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_3
           _inst_7))) =?= F
[type_context.is_def_eq_detail] on failure: @continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
  (@normed_ring.to_ring.{u_1} 𝕜
     (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  E
  (@uniform_space.to_topological_space.{u_2} E
     (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
  (@normed_group.to_add_comm_group.{u_2} E _inst_1)
  (prod.{u_3 u_4} F G)
  (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
  (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
  (@vector_space.to_module.{u_1 u_2} 𝕜 E
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
        _inst_1
        _inst_5))
  (@prod.module.{u_1 u_3 u_4} 𝕜 F G
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)
     (@vector_space.to_module.{u_1 u_3} 𝕜 F
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_2
           _inst_6))
     (@vector_space.to_module.{u_1 u_4} 𝕜 G
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_3
           _inst_7))) =?= F
[type_context.is_def_eq_detail] on failure: normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= normed_group.{u_3} F
[type_context.is_def_eq] normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= normed_group.{u_3} F ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_0 : normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) := _inst_1
[type_context.is_def_eq_detail] [1]: normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= normed_group.{u_2} E
[type_context.is_def_eq_detail] [2]: normed_group.{(max u_2 u_3 u_4)} =?= normed_group.{u_2}
[type_context.is_def_eq_detail] [2]: @continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
  (@normed_ring.to_ring.{u_1} 𝕜
     (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  E
  (@uniform_space.to_topological_space.{u_2} E
     (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
  (@normed_group.to_add_comm_group.{u_2} E _inst_1)
  (prod.{u_3 u_4} F G)
  (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
  (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
  (@vector_space.to_module.{u_1 u_2} 𝕜 E
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
        _inst_1
        _inst_5))
  (@prod.module.{u_1 u_3 u_4} 𝕜 F G
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)
     (@vector_space.to_module.{u_1 u_3} 𝕜 F
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_2
           _inst_6))
     (@vector_space.to_module.{u_1 u_4} 𝕜 G
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_3
           _inst_7))) =?= E
[type_context.is_def_eq_detail] on failure: @continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
  (@normed_ring.to_ring.{u_1} 𝕜
     (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  E
  (@uniform_space.to_topological_space.{u_2} E
     (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
  (@normed_group.to_add_comm_group.{u_2} E _inst_1)
  (prod.{u_3 u_4} F G)
  (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
  (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
  (@vector_space.to_module.{u_1 u_2} 𝕜 E
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
        _inst_1
        _inst_5))
  (@prod.module.{u_1 u_3 u_4} 𝕜 F G
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)
     (@vector_space.to_module.{u_1 u_3} 𝕜 F
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_2
           _inst_6))
     (@vector_space.to_module.{u_1 u_4} 𝕜 G
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_3
           _inst_7))) =?= E
[type_context.is_def_eq_detail] on failure: normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= normed_group.{u_2} E
[type_context.is_def_eq] normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= normed_group.{u_2} E ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_0 : normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) := @continuous_linear_map.to_normed_group.{?u_0 ?u_1 ?u_2} ?x_1 ?x_2 ?x_3 ?x_4 ?x_5 ?x_6 ?x_7 ?x_8
[type_context.is_def_eq_detail] [1]: normed_group.{(max u_2 u_3 u_4)}
  (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     E
     (@uniform_space.to_topological_space.{u_2} E
        (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (prod.{u_3 u_4} F G)
     (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
     (@vector_space.to_module.{u_1 u_2} 𝕜 E
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_2} E _inst_1)
        (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_1
           _inst_5))
     (@prod.module.{u_1 u_3 u_4} 𝕜 F G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6))
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= normed_group.{(max ?u_1 ?u_2)}
  (@continuous_linear_map.{?u_0 ?u_1 ?u_2} ?x_1
     (@normed_ring.to_ring.{?u_0} ?x_1
        (@normed_field.to_normed_ring.{?u_0} ?x_1 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6)))
     ?x_2
     (@uniform_space.to_topological_space.{?u_1} ?x_2
        (@metric_space.to_uniform_space'.{?u_1} ?x_2 (@normed_group.to_metric_space.{?u_1} ?x_2 ?x_4)))
     (@normed_group.to_add_comm_group.{?u_1} ?x_2 ?x_4)
     ?x_3
     (@uniform_space.to_topological_space.{?u_2} ?x_3
        (@metric_space.to_uniform_space'.{?u_2} ?x_3 (@normed_group.to_metric_space.{?u_2} ?x_3 ?x_5)))
     (@normed_group.to_add_comm_group.{?u_2} ?x_3 ?x_5)
     (@vector_space.to_module.{?u_0 ?u_1} ?x_1 ?x_2
        (@normed_field.to_discrete_field.{?u_0} ?x_1 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6))
        (@normed_group.to_add_comm_group.{?u_1} ?x_2 ?x_4)
        (@normed_space.to_vector_space.{?u_0 ?u_1} ?x_1 ?x_2
           (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6)
           ?x_4
           ?x_7))
     (@vector_space.to_module.{?u_0 ?u_2} ?x_1 ?x_3
        (@normed_field.to_discrete_field.{?u_0} ?x_1 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6))
        (@normed_group.to_add_comm_group.{?u_2} ?x_3 ?x_5)
        (@normed_space.to_vector_space.{?u_0 ?u_2} ?x_1 ?x_3
           (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6)
           ?x_5
           ?x_8)))
[type_context.is_def_eq_detail] [2]: normed_group.{(max u_2 u_3 u_4)} =?= normed_group.{(max ?u_1 ?u_2)}
[type_context.is_def_eq_detail] [2]: @continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
  (@normed_ring.to_ring.{u_1} 𝕜
     (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  E
  (@uniform_space.to_topological_space.{u_2} E
     (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
  (@normed_group.to_add_comm_group.{u_2} E _inst_1)
  (prod.{u_3 u_4} F G)
  (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
  (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
  (@vector_space.to_module.{u_1 u_2} 𝕜 E
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
     (@normed_group.to_add_comm_group.{u_2} E _inst_1)
     (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
        _inst_1
        _inst_5))
  (@prod.module.{u_1 u_3 u_4} 𝕜 F G
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)
     (@vector_space.to_module.{u_1 u_3} 𝕜 F
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_2
           _inst_6))
     (@vector_space.to_module.{u_1 u_4} 𝕜 G
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_3
           _inst_7))) =?= @continuous_linear_map.{?u_0 ?u_1 ?u_2} ?x_1
  (@normed_ring.to_ring.{?u_0} ?x_1
     (@normed_field.to_normed_ring.{?u_0} ?x_1 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6)))
  ?x_2
  (@uniform_space.to_topological_space.{?u_1} ?x_2
     (@metric_space.to_uniform_space'.{?u_1} ?x_2 (@normed_group.to_metric_space.{?u_1} ?x_2 ?x_4)))
  (@normed_group.to_add_comm_group.{?u_1} ?x_2 ?x_4)
  ?x_3
  (@uniform_space.to_topological_space.{?u_2} ?x_3
     (@metric_space.to_uniform_space'.{?u_2} ?x_3 (@normed_group.to_metric_space.{?u_2} ?x_3 ?x_5)))
  (@normed_group.to_add_comm_group.{?u_2} ?x_3 ?x_5)
  (@vector_space.to_module.{?u_0 ?u_1} ?x_1 ?x_2
     (@normed_field.to_discrete_field.{?u_0} ?x_1 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6))
     (@normed_group.to_add_comm_group.{?u_1} ?x_2 ?x_4)
     (@normed_space.to_vector_space.{?u_0 ?u_1} ?x_1 ?x_2 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6)
        ?x_4
        ?x_7))
  (@vector_space.to_module.{?u_0 ?u_2} ?x_1 ?x_3
     (@normed_field.to_discrete_field.{?u_0} ?x_1 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6))
     (@normed_group.to_add_comm_group.{?u_2} ?x_3 ?x_5)
     (@normed_space.to_vector_space.{?u_0 ?u_2} ?x_1 ?x_3 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6)
        ?x_5
        ?x_8))
[type_context.is_def_eq_detail] [3]: continuous_linear_map.{u_1 u_2 (max u_3 u_4)} =?= continuous_linear_map.{?u_0 ?u_1 ?u_2}
[type_context.is_def_eq_detail] process_assignment ?x_1 := 𝕜
[type_context.is_def_eq_detail] assign: ?x_1 := 𝕜
[type_context.is_def_eq_detail] process_assignment ?x_2 := E
[type_context.is_def_eq_detail] assign: ?x_2 := E
[type_context.is_def_eq_detail] process_assignment ?x_3 := prod.{u_3 u_4} F G
[type_context.is_def_eq_detail] assign: ?x_3 := prod.{u_3 u_4} F G
[class_instances]  class-instance resolution trace
[class_instances] (0) ?x_9 : nondiscrete_normed_field.{u_1} 𝕜 := _inst_4
[type_context.is_def_eq] nondiscrete_normed_field.{u_1} 𝕜 =?= nondiscrete_normed_field.{u_1} 𝕜 ... success  (approximate mode)
[type_context.is_def_eq_detail] [3]: @normed_ring.to_ring.{u_1} 𝕜
  (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @normed_ring.to_ring.{?u_0} ?x_1
  (@normed_field.to_normed_ring.{?u_0} ?x_1 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 _inst_4))
[class_instances]  class-instance resolution trace
[class_instances] (0) ?x_10 : normed_group.{u_2} E := _inst_3
[type_context.is_def_eq_detail] [3]: normed_group.{u_2} E =?= normed_group.{u_4} G
[type_context.is_def_eq_detail] [4]: normed_group.{u_2} =?= normed_group.{u_4}
[type_context.is_def_eq_detail] on failure: normed_group.{u_2} E =?= normed_group.{u_4} G
[type_context.is_def_eq] normed_group.{u_2} E =?= normed_group.{u_4} G ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_10 : normed_group.{u_2} E := _inst_2
[type_context.is_def_eq_detail] [3]: normed_group.{u_2} E =?= normed_group.{u_3} F
[type_context.is_def_eq_detail] [4]: normed_group.{u_2} =?= normed_group.{u_3}
[type_context.is_def_eq_detail] on failure: normed_group.{u_2} E =?= normed_group.{u_3} F
[type_context.is_def_eq] normed_group.{u_2} E =?= normed_group.{u_3} F ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_10 : normed_group.{u_2} E := _inst_1
[type_context.is_def_eq] normed_group.{u_2} E =?= normed_group.{u_2} E ... success  (approximate mode)
[type_context.is_def_eq_detail] [3]: @uniform_space.to_topological_space.{u_2} E
  (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)) =?= @uniform_space.to_topological_space.{?u_1} ?x_2
  (@metric_space.to_uniform_space'.{?u_1} ?x_2 (@normed_group.to_metric_space.{?u_1} ?x_2 _inst_1))
[type_context.is_def_eq_detail] [4]: uniform_space.to_topological_space.{u_2} =?= uniform_space.to_topological_space.{?u_1}
[type_context.is_def_eq_detail] [4]: @metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1) =?= @metric_space.to_uniform_space'.{?u_1} ?x_2 (@normed_group.to_metric_space.{?u_1} ?x_2 _inst_1)
[type_context.is_def_eq_detail] [5]: @normed_group.to_metric_space.{u_2} E _inst_1 =?= @normed_group.to_metric_space.{?u_1} ?x_2 _inst_1
[type_context.is_def_eq_detail] [6]: normed_group.to_metric_space.{u_2} =?= normed_group.to_metric_space.{?u_1}
[type_context.is_def_eq_detail] [3]: @normed_group.to_add_comm_group.{u_2} E _inst_1 =?= @normed_group.to_add_comm_group.{?u_1} ?x_2 ?x_4
[type_context.is_def_eq_detail] [4]: normed_group.to_add_comm_group.{u_2} =?= normed_group.to_add_comm_group.{?u_1}
[class_instances]  class-instance resolution trace
[class_instances] (0) ?x_11 : normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := _inst_3
[type_context.is_def_eq_detail] [3]: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{u_4} G
[type_context.is_def_eq_detail] [4]: normed_group.{(max u_3 u_4)} =?= normed_group.{u_4}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= G
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= G
[type_context.is_def_eq_detail] on failure: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{u_4} G
[type_context.is_def_eq] normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{u_4} G ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_11 : normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := _inst_2
[type_context.is_def_eq_detail] [3]: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{u_3} F
[type_context.is_def_eq_detail] [4]: normed_group.{(max u_3 u_4)} =?= normed_group.{u_3}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= F
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= F
[type_context.is_def_eq_detail] on failure: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{u_3} F
[type_context.is_def_eq] normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{u_3} F ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_11 : normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := _inst_1
[type_context.is_def_eq_detail] [3]: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{u_2} E
[type_context.is_def_eq_detail] [4]: normed_group.{(max u_3 u_4)} =?= normed_group.{u_2}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= E
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= E
[type_context.is_def_eq_detail] on failure: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{u_2} E
[type_context.is_def_eq] normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{u_2} E ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_11 : normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := @continuous_linear_map.to_normed_group.{?u_3 ?u_4 ?u_5} ?x_12 ?x_13 ?x_14 ?x_15 ?x_16 ?x_17 ?x_18 ?x_19
[type_context.is_def_eq_detail] [3]: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{(max ?u_4 ?u_5)}
  (@continuous_linear_map.{?u_3 ?u_4 ?u_5} ?x_12
     (@normed_ring.to_ring.{?u_3} ?x_12
        (@normed_field.to_normed_ring.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)))
     ?x_13
     (@uniform_space.to_topological_space.{?u_4} ?x_13
        (@metric_space.to_uniform_space'.{?u_4} ?x_13 (@normed_group.to_metric_space.{?u_4} ?x_13 ?x_15)))
     (@normed_group.to_add_comm_group.{?u_4} ?x_13 ?x_15)
     ?x_14
     (@uniform_space.to_topological_space.{?u_5} ?x_14
        (@metric_space.to_uniform_space'.{?u_5} ?x_14 (@normed_group.to_metric_space.{?u_5} ?x_14 ?x_16)))
     (@normed_group.to_add_comm_group.{?u_5} ?x_14 ?x_16)
     (@vector_space.to_module.{?u_3 ?u_4} ?x_12 ?x_13
        (@normed_field.to_discrete_field.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17))
        (@normed_group.to_add_comm_group.{?u_4} ?x_13 ?x_15)
        (@normed_space.to_vector_space.{?u_3 ?u_4} ?x_12 ?x_13
           (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)
           ?x_15
           ?x_18))
     (@vector_space.to_module.{?u_3 ?u_5} ?x_12 ?x_14
        (@normed_field.to_discrete_field.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17))
        (@normed_group.to_add_comm_group.{?u_5} ?x_14 ?x_16)
        (@normed_space.to_vector_space.{?u_3 ?u_5} ?x_12 ?x_14
           (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)
           ?x_16
           ?x_19)))
[type_context.is_def_eq_detail] [4]: normed_group.{(max u_3 u_4)} =?= normed_group.{(max ?u_4 ?u_5)}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= @continuous_linear_map.{?u_3 ?u_4 ?u_5} ?x_12
  (@normed_ring.to_ring.{?u_3} ?x_12
     (@normed_field.to_normed_ring.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)))
  ?x_13
  (@uniform_space.to_topological_space.{?u_4} ?x_13
     (@metric_space.to_uniform_space'.{?u_4} ?x_13 (@normed_group.to_metric_space.{?u_4} ?x_13 ?x_15)))
  (@normed_group.to_add_comm_group.{?u_4} ?x_13 ?x_15)
  ?x_14
  (@uniform_space.to_topological_space.{?u_5} ?x_14
     (@metric_space.to_uniform_space'.{?u_5} ?x_14 (@normed_group.to_metric_space.{?u_5} ?x_14 ?x_16)))
  (@normed_group.to_add_comm_group.{?u_5} ?x_14 ?x_16)
  (@vector_space.to_module.{?u_3 ?u_4} ?x_12 ?x_13
     (@normed_field.to_discrete_field.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17))
     (@normed_group.to_add_comm_group.{?u_4} ?x_13 ?x_15)
     (@normed_space.to_vector_space.{?u_3 ?u_4} ?x_12 ?x_13
        (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)
        ?x_15
        ?x_18))
  (@vector_space.to_module.{?u_3 ?u_5} ?x_12 ?x_14
     (@normed_field.to_discrete_field.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17))
     (@normed_group.to_add_comm_group.{?u_5} ?x_14 ?x_16)
     (@normed_space.to_vector_space.{?u_3 ?u_5} ?x_12 ?x_14
        (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)
        ?x_16
        ?x_19))
[type_context.is_def_eq_detail] [5]: prod.{u_3 u_4} =?= continuous_linear_map.{?u_3 ?u_4 ?u_5}
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} =?= continuous_linear_map.{?u_3 ?u_4 ?u_5}
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= @continuous_linear_map.{?u_3 ?u_4 ?u_5} ?x_12
  (@normed_ring.to_ring.{?u_3} ?x_12
     (@normed_field.to_normed_ring.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)))
  ?x_13
  (@uniform_space.to_topological_space.{?u_4} ?x_13
     (@metric_space.to_uniform_space'.{?u_4} ?x_13 (@normed_group.to_metric_space.{?u_4} ?x_13 ?x_15)))
  (@normed_group.to_add_comm_group.{?u_4} ?x_13 ?x_15)
  ?x_14
  (@uniform_space.to_topological_space.{?u_5} ?x_14
     (@metric_space.to_uniform_space'.{?u_5} ?x_14 (@normed_group.to_metric_space.{?u_5} ?x_14 ?x_16)))
  (@normed_group.to_add_comm_group.{?u_5} ?x_14 ?x_16)
  (@vector_space.to_module.{?u_3 ?u_4} ?x_12 ?x_13
     (@normed_field.to_discrete_field.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17))
     (@normed_group.to_add_comm_group.{?u_4} ?x_13 ?x_15)
     (@normed_space.to_vector_space.{?u_3 ?u_4} ?x_12 ?x_13
        (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)
        ?x_15
        ?x_18))
  (@vector_space.to_module.{?u_3 ?u_5} ?x_12 ?x_14
     (@normed_field.to_discrete_field.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17))
     (@normed_group.to_add_comm_group.{?u_5} ?x_14 ?x_16)
     (@normed_space.to_vector_space.{?u_3 ?u_5} ?x_12 ?x_14
        (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)
        ?x_16
        ?x_19))
[type_context.is_def_eq_detail] on failure: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{(max ?u_4 ?u_5)}
  (@continuous_linear_map.{?u_3 ?u_4 ?u_5} ?x_12
     (@normed_ring.to_ring.{?u_3} ?x_12
        (@normed_field.to_normed_ring.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)))
     ?x_13
     (@uniform_space.to_topological_space.{?u_4} ?x_13
        (@metric_space.to_uniform_space'.{?u_4} ?x_13 (@normed_group.to_metric_space.{?u_4} ?x_13 ?x_15)))
     (@normed_group.to_add_comm_group.{?u_4} ?x_13 ?x_15)
     ?x_14
     (@uniform_space.to_topological_space.{?u_5} ?x_14
        (@metric_space.to_uniform_space'.{?u_5} ?x_14 (@normed_group.to_metric_space.{?u_5} ?x_14 ?x_16)))
     (@normed_group.to_add_comm_group.{?u_5} ?x_14 ?x_16)
     (@vector_space.to_module.{?u_3 ?u_4} ?x_12 ?x_13
        (@normed_field.to_discrete_field.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17))
        (@normed_group.to_add_comm_group.{?u_4} ?x_13 ?x_15)
        (@normed_space.to_vector_space.{?u_3 ?u_4} ?x_12 ?x_13
           (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)
           ?x_15
           ?x_18))
     (@vector_space.to_module.{?u_3 ?u_5} ?x_12 ?x_14
        (@normed_field.to_discrete_field.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17))
        (@normed_group.to_add_comm_group.{?u_5} ?x_14 ?x_16)
        (@normed_space.to_vector_space.{?u_3 ?u_5} ?x_12 ?x_14
           (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)
           ?x_16
           ?x_19)))
[type_context.is_def_eq] normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{(max ?u_4 ?u_5)}
  (@continuous_linear_map.{?u_3 ?u_4 ?u_5} ?x_12
     (@normed_ring.to_ring.{?u_3} ?x_12
        (@normed_field.to_normed_ring.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)))
     ?x_13
     (@uniform_space.to_topological_space.{?u_4} ?x_13
        (@metric_space.to_uniform_space'.{?u_4} ?x_13 (@normed_group.to_metric_space.{?u_4} ?x_13 ?x_15)))
     (@normed_group.to_add_comm_group.{?u_4} ?x_13 ?x_15)
     ?x_14
     (@uniform_space.to_topological_space.{?u_5} ?x_14
        (@metric_space.to_uniform_space'.{?u_5} ?x_14 (@normed_group.to_metric_space.{?u_5} ?x_14 ?x_16)))
     (@normed_group.to_add_comm_group.{?u_5} ?x_14 ?x_16)
     (@vector_space.to_module.{?u_3 ?u_4} ?x_12 ?x_13
        (@normed_field.to_discrete_field.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17))
        (@normed_group.to_add_comm_group.{?u_4} ?x_13 ?x_15)
        (@normed_space.to_vector_space.{?u_3 ?u_4} ?x_12 ?x_13
           (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)
           ?x_15
           ?x_18))
     (@vector_space.to_module.{?u_3 ?u_5} ?x_12 ?x_14
        (@normed_field.to_discrete_field.{?u_3} ?x_12 (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17))
        (@normed_group.to_add_comm_group.{?u_5} ?x_14 ?x_16)
        (@normed_space.to_vector_space.{?u_3 ?u_5} ?x_12 ?x_14
           (@nondiscrete_normed_field.to_normed_field.{?u_3} ?x_12 ?x_17)
           ?x_16
           ?x_19))) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_11 : normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := @normed_ring.to_normed_group.{?u_6} ?x_20 ?x_21
[type_context.is_def_eq_detail] [3]: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{?u_6} ?x_20
[type_context.is_def_eq_detail] [4]: normed_group.{(max u_3 u_4)} =?= normed_group.{?u_6}
[type_context.is_def_eq_detail] process_assignment ?x_20 := prod.{u_3 u_4} F G
[type_context.is_def_eq_detail] assign: ?x_20 := prod.{u_3 u_4} F G
[type_context.is_def_eq] normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{?u_6} ?x_20 ... success  (approximate mode)
[class_instances] (1) ?x_21 : normed_ring.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := @normed_field.to_normed_ring.{?u_7} ?x_22 ?x_23
[type_context.is_def_eq_detail] [3]: normed_ring.{?u_6} ?x_20 =?= normed_ring.{?u_7} ?x_22
[type_context.is_def_eq_detail] [4]: normed_ring.{?u_6} =?= normed_ring.{?u_7}
[type_context.is_def_eq_detail] process_assignment ?x_22 := prod.{u_3 u_4} F G
[type_context.is_def_eq_detail] assign: ?x_22 := prod.{u_3 u_4} F G
[type_context.is_def_eq] normed_ring.{?u_6} ?x_20 =?= normed_ring.{?u_7} ?x_22 ... success  (approximate mode)
[class_instances] (2) ?x_23 : normed_field.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := complex.normed_field
[type_context.is_def_eq_detail] [3]: normed_field.{?u_7} ?x_22 =?= normed_field.{0} complex
[type_context.is_def_eq_detail] [4]: normed_field.{?u_7} =?= normed_field.{0}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= complex
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= complex
[type_context.is_def_eq_detail] on failure: normed_field.{?u_7} ?x_22 =?= normed_field.{0} complex
[type_context.is_def_eq] normed_field.{?u_7} ?x_22 =?= normed_field.{0} complex ... failed  (approximate mode)
failed is_def_eq
[class_instances] (2) ?x_23 : normed_field.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := real.normed_field
[type_context.is_def_eq_detail] [3]: normed_field.{?u_7} ?x_22 =?= normed_field.{0} real
[type_context.is_def_eq_detail] [4]: normed_field.{?u_7} =?= normed_field.{0}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= real
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= real
[type_context.is_def_eq_detail] on failure: normed_field.{?u_7} ?x_22 =?= normed_field.{0} real
[type_context.is_def_eq] normed_field.{?u_7} ?x_22 =?= normed_field.{0} real ... failed  (approximate mode)
failed is_def_eq
[class_instances] (2) ?x_23 : normed_field.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := @nondiscrete_normed_field.to_normed_field.{?u_8} ?x_24 ?x_25
[type_context.is_def_eq_detail] [3]: normed_field.{?u_7} ?x_22 =?= normed_field.{?u_8} ?x_24
[type_context.is_def_eq_detail] [4]: normed_field.{?u_7} =?= normed_field.{?u_8}
[type_context.is_def_eq_detail] process_assignment ?x_24 := prod.{u_3 u_4} F G
[type_context.is_def_eq_detail] assign: ?x_24 := prod.{u_3 u_4} F G
[type_context.is_def_eq] normed_field.{?u_7} ?x_22 =?= normed_field.{?u_8} ?x_24 ... success  (approximate mode)
[class_instances] (3) ?x_25 : nondiscrete_normed_field.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := _inst_4
[type_context.is_def_eq_detail] [3]: nondiscrete_normed_field.{?u_8} ?x_24 =?= nondiscrete_normed_field.{u_1} 𝕜
[type_context.is_def_eq_detail] [4]: nondiscrete_normed_field.{?u_8} =?= nondiscrete_normed_field.{u_1}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= 𝕜
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= 𝕜
[type_context.is_def_eq_detail] on failure: nondiscrete_normed_field.{?u_8} ?x_24 =?= nondiscrete_normed_field.{u_1} 𝕜
[type_context.is_def_eq] nondiscrete_normed_field.{?u_8} ?x_24 =?= nondiscrete_normed_field.{u_1} 𝕜 ... failed  (approximate mode)
failed is_def_eq
[class_instances] (3) ?x_25 : nondiscrete_normed_field.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := complex.nondiscrete_normed_field
[type_context.is_def_eq_detail] [3]: nondiscrete_normed_field.{?u_8} ?x_24 =?= nondiscrete_normed_field.{0} complex
[type_context.is_def_eq_detail] [4]: nondiscrete_normed_field.{?u_8} =?= nondiscrete_normed_field.{0}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= complex
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= complex
[type_context.is_def_eq_detail] on failure: nondiscrete_normed_field.{?u_8} ?x_24 =?= nondiscrete_normed_field.{0} complex
[type_context.is_def_eq] nondiscrete_normed_field.{?u_8} ?x_24 =?= nondiscrete_normed_field.{0} complex ... failed  (approximate mode)
failed is_def_eq
[class_instances] (3) ?x_25 : nondiscrete_normed_field.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := real.nondiscrete_normed_field
[type_context.is_def_eq_detail] [3]: nondiscrete_normed_field.{?u_8} ?x_24 =?= nondiscrete_normed_field.{0} real
[type_context.is_def_eq_detail] [4]: nondiscrete_normed_field.{?u_8} =?= nondiscrete_normed_field.{0}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= real
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= real
[type_context.is_def_eq_detail] on failure: nondiscrete_normed_field.{?u_8} ?x_24 =?= nondiscrete_normed_field.{0} real
[type_context.is_def_eq] nondiscrete_normed_field.{?u_8} ?x_24 =?= nondiscrete_normed_field.{0} real ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_21 : normed_ring.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := @prod.normed_ring.{?u_7 ?u_8} ?x_22 ?x_23 ?x_24 ?x_25
[type_context.is_def_eq_detail] [3]: normed_ring.{?u_6} ?x_20 =?= normed_ring.{(max ?u_7 ?u_8)} (prod.{?u_7 ?u_8} ?x_22 ?x_23)
[type_context.is_def_eq_detail] [4]: normed_ring.{?u_6} =?= normed_ring.{(max ?u_7 ?u_8)}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= prod.{?u_7 ?u_8} ?x_22 ?x_23
[type_context.is_def_eq_detail] [5]: prod.{u_3 u_4} =?= prod.{?u_7 ?u_8}
[type_context.is_def_eq_detail] process_assignment ?x_22 := F
[type_context.is_def_eq_detail] assign: ?x_22 := F
[type_context.is_def_eq_detail] process_assignment ?x_23 := G
[type_context.is_def_eq_detail] assign: ?x_23 := G
[type_context.is_def_eq] normed_ring.{?u_6} ?x_20 =?= normed_ring.{(max ?u_7 ?u_8)} (prod.{?u_7 ?u_8} ?x_22 ?x_23) ... success  (approximate mode)
[class_instances] (2) ?x_24 : normed_ring.{u_3} F := @normed_field.to_normed_ring.{?u_9} ?x_26 ?x_27
[type_context.is_def_eq_detail] [3]: normed_ring.{?u_7} ?x_22 =?= normed_ring.{?u_9} ?x_26
[type_context.is_def_eq_detail] [4]: normed_ring.{?u_7} =?= normed_ring.{?u_9}
[type_context.is_def_eq_detail] process_assignment ?x_26 := F
[type_context.is_def_eq_detail] assign: ?x_26 := F
[type_context.is_def_eq] normed_ring.{?u_7} ?x_22 =?= normed_ring.{?u_9} ?x_26 ... success  (approximate mode)
[class_instances] (3) ?x_27 : normed_field.{u_3} F := complex.normed_field
[type_context.is_def_eq_detail] [3]: normed_field.{?u_9} ?x_26 =?= normed_field.{0} complex
[type_context.is_def_eq_detail] [4]: normed_field.{?u_9} =?= normed_field.{0}
[type_context.is_def_eq_detail] on failure: normed_field.{?u_9} ?x_26 =?= normed_field.{0} complex
[type_context.is_def_eq] normed_field.{?u_9} ?x_26 =?= normed_field.{0} complex ... failed  (approximate mode)
failed is_def_eq
[class_instances] (3) ?x_27 : normed_field.{u_3} F := real.normed_field
[type_context.is_def_eq_detail] [3]: normed_field.{?u_9} ?x_26 =?= normed_field.{0} real
[type_context.is_def_eq_detail] [4]: normed_field.{?u_9} =?= normed_field.{0}
[type_context.is_def_eq_detail] on failure: normed_field.{?u_9} ?x_26 =?= normed_field.{0} real
[type_context.is_def_eq] normed_field.{?u_9} ?x_26 =?= normed_field.{0} real ... failed  (approximate mode)
failed is_def_eq
[class_instances] (3) ?x_27 : normed_field.{u_3} F := @nondiscrete_normed_field.to_normed_field.{?u_10} ?x_28 ?x_29
[type_context.is_def_eq_detail] [3]: normed_field.{?u_9} ?x_26 =?= normed_field.{?u_10} ?x_28
[type_context.is_def_eq_detail] [4]: normed_field.{?u_9} =?= normed_field.{?u_10}
[type_context.is_def_eq_detail] process_assignment ?x_28 := F
[type_context.is_def_eq_detail] assign: ?x_28 := F
[type_context.is_def_eq] normed_field.{?u_9} ?x_26 =?= normed_field.{?u_10} ?x_28 ... success  (approximate mode)
[class_instances] (4) ?x_29 : nondiscrete_normed_field.{u_3} F := _inst_4
[type_context.is_def_eq_detail] [3]: nondiscrete_normed_field.{?u_10} ?x_28 =?= nondiscrete_normed_field.{u_1} 𝕜
[type_context.is_def_eq_detail] [4]: nondiscrete_normed_field.{?u_10} =?= nondiscrete_normed_field.{u_1}
[type_context.is_def_eq_detail] on failure: nondiscrete_normed_field.{?u_10} ?x_28 =?= nondiscrete_normed_field.{u_1} 𝕜
[type_context.is_def_eq] nondiscrete_normed_field.{?u_10} ?x_28 =?= nondiscrete_normed_field.{u_1} 𝕜 ... failed  (approximate mode)
failed is_def_eq
[class_instances] (4) ?x_29 : nondiscrete_normed_field.{u_3} F := complex.nondiscrete_normed_field
[type_context.is_def_eq_detail] [3]: nondiscrete_normed_field.{?u_10} ?x_28 =?= nondiscrete_normed_field.{0} complex
[type_context.is_def_eq_detail] [4]: nondiscrete_normed_field.{?u_10} =?= nondiscrete_normed_field.{0}
[type_context.is_def_eq_detail] on failure: nondiscrete_normed_field.{?u_10} ?x_28 =?= nondiscrete_normed_field.{0} complex
[type_context.is_def_eq] nondiscrete_normed_field.{?u_10} ?x_28 =?= nondiscrete_normed_field.{0} complex ... failed  (approximate mode)
failed is_def_eq
[class_instances] (4) ?x_29 : nondiscrete_normed_field.{u_3} F := real.nondiscrete_normed_field
[type_context.is_def_eq_detail] [3]: nondiscrete_normed_field.{?u_10} ?x_28 =?= nondiscrete_normed_field.{0} real
[type_context.is_def_eq_detail] [4]: nondiscrete_normed_field.{?u_10} =?= nondiscrete_normed_field.{0}
[type_context.is_def_eq_detail] on failure: nondiscrete_normed_field.{?u_10} ?x_28 =?= nondiscrete_normed_field.{0} real
[type_context.is_def_eq] nondiscrete_normed_field.{?u_10} ?x_28 =?= nondiscrete_normed_field.{0} real ... failed  (approximate mode)
failed is_def_eq
[class_instances] (2) ?x_24 : normed_ring.{u_3} F := @prod.normed_ring.{?u_9 ?u_10} ?x_26 ?x_27 ?x_28 ?x_29
[type_context.is_def_eq_detail] [3]: normed_ring.{?u_7} ?x_22 =?= normed_ring.{(max ?u_9 ?u_10)} (prod.{?u_9 ?u_10} ?x_26 ?x_27)
[type_context.is_def_eq_detail] [4]: normed_ring.{?u_7} =?= normed_ring.{(max ?u_9 ?u_10)}
[type_context.is_def_eq_detail] [4]: F =?= prod.{?u_9 ?u_10} ?x_26 ?x_27
[type_context.is_def_eq_detail] on failure: F =?= prod.{?u_9 ?u_10} ?x_26 ?x_27
[type_context.is_def_eq_detail] on failure: normed_ring.{?u_7} ?x_22 =?= normed_ring.{(max ?u_9 ?u_10)} (prod.{?u_9 ?u_10} ?x_26 ?x_27)
[type_context.is_def_eq] normed_ring.{?u_7} ?x_22 =?= normed_ring.{(max ?u_9 ?u_10)} (prod.{?u_9 ?u_10} ?x_26 ?x_27) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_11 : normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := @fintype.normed_group.{?u_3 ?u_4} ?x_12 ?x_13 ?x_14 ?x_15
[type_context.is_def_eq_detail] [3]: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{(max ?u_3 ?u_4)} (Π (b : ?x_12), ?x_13 b)
[type_context.is_def_eq_detail] [4]: normed_group.{(max u_3 u_4)} =?= normed_group.{(max ?u_3 ?u_4)}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= Π (b : ?x_12), ?x_13 b
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= Π (b : ?x_12), ?x_13 b
[type_context.is_def_eq_detail] on failure: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{(max ?u_3 ?u_4)} (Π (b : ?x_12), ?x_13 b)
[type_context.is_def_eq] normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{(max ?u_3 ?u_4)} (Π (b : ?x_12), ?x_13 b) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_11 : normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) := @prod.normed_group.{?u_5 ?u_6} ?x_16 ?x_17 ?x_18 ?x_19
[type_context.is_def_eq_detail] [3]: normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{(max ?u_5 ?u_6)} (prod.{?u_5 ?u_6} ?x_16 ?x_17)
[type_context.is_def_eq_detail] [4]: normed_group.{(max u_3 u_4)} =?= normed_group.{(max ?u_5 ?u_6)}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= prod.{?u_5 ?u_6} ?x_16 ?x_17
[type_context.is_def_eq_detail] [5]: prod.{u_3 u_4} =?= prod.{?u_5 ?u_6}
[type_context.is_def_eq_detail] process_assignment ?x_16 := F
[type_context.is_def_eq_detail] assign: ?x_16 := F
[type_context.is_def_eq_detail] process_assignment ?x_17 := G
[type_context.is_def_eq_detail] assign: ?x_17 := G
[type_context.is_def_eq] normed_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) =?= normed_group.{(max ?u_5 ?u_6)} (prod.{?u_5 ?u_6} ?x_16 ?x_17) ... success  (approximate mode)
[class_instances] (1) ?x_18 : normed_group.{u_3} F := _inst_3
[type_context.is_def_eq_detail] [3]: normed_group.{?u_5} ?x_16 =?= normed_group.{u_4} G
[type_context.is_def_eq_detail] [4]: normed_group.{?u_5} =?= normed_group.{u_4}
[type_context.is_def_eq_detail] on failure: normed_group.{?u_5} ?x_16 =?= normed_group.{u_4} G
[type_context.is_def_eq] normed_group.{?u_5} ?x_16 =?= normed_group.{u_4} G ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_18 : normed_group.{u_3} F := _inst_2
[type_context.is_def_eq_detail] [3]: normed_group.{?u_5} ?x_16 =?= normed_group.{u_3} F
[type_context.is_def_eq_detail] [4]: normed_group.{?u_5} =?= normed_group.{u_3}
[type_context.is_def_eq] normed_group.{?u_5} ?x_16 =?= normed_group.{u_3} F ... success  (approximate mode)
[class_instances] (1) ?x_19 : normed_group.{u_4} G := _inst_3
[type_context.is_def_eq_detail] [3]: normed_group.{?u_6} ?x_17 =?= normed_group.{u_4} G
[type_context.is_def_eq_detail] [4]: normed_group.{?u_6} =?= normed_group.{u_4}
[type_context.is_def_eq] normed_group.{?u_6} ?x_17 =?= normed_group.{u_4} G ... success  (approximate mode)
[type_context.is_def_eq_detail] [3]: @uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
  (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))) =?= @uniform_space.to_topological_space.{?u_2} ?x_3
  (@metric_space.to_uniform_space'.{?u_2} ?x_3
     (@normed_group.to_metric_space.{?u_2} ?x_3 (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3)))
[type_context.is_def_eq_detail] [3]: @normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_group.to_add_comm_group.{?u_2} ?x_3 ?x_5
[class_instances]  class-instance resolution trace
[class_instances] (0) ?x_20 : @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 := _inst_7
[type_context.is_def_eq_detail] [3]: @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 =?= @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3
[type_context.is_def_eq_detail] [4]: normed_space.{u_1 u_2} =?= normed_space.{u_1 u_4}
[type_context.is_def_eq_detail] on failure: @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 =?= @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3
[type_context.is_def_eq] @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 =?= @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3 ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_20 : @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 := _inst_6
[type_context.is_def_eq_detail] [3]: @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 =?= @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2
[type_context.is_def_eq_detail] [4]: normed_space.{u_1 u_2} =?= normed_space.{u_1 u_3}
[type_context.is_def_eq_detail] on failure: @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 =?= @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2
[type_context.is_def_eq] @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 =?= @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2 ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_20 : @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 := _inst_5
[type_context.is_def_eq] @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 =?= @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 ... success  (approximate mode)
[type_context.is_def_eq_detail] [3]: @vector_space.to_module.{u_1 u_2} 𝕜 E
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
  (@normed_group.to_add_comm_group.{u_2} E _inst_1)
  (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1
     _inst_5) =?= @vector_space.to_module.{?u_0 ?u_1} ?x_1 ?x_2
  (@normed_field.to_discrete_field.{?u_0} ?x_1 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6))
  (@normed_group.to_add_comm_group.{?u_1} ?x_2 ?x_4)
  (@normed_space.to_vector_space.{?u_0 ?u_1} ?x_1 ?x_2 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6) ?x_4
     _inst_5)
[type_context.is_def_eq_detail] [4]: vector_space.to_module.{u_1 u_2} =?= vector_space.to_module.{?u_0 ?u_1}
[type_context.is_def_eq_detail] [4]: @normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @normed_field.to_discrete_field.{?u_0} ?x_1 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6)
[type_context.is_def_eq_detail] [5]: normed_field.to_discrete_field.{u_1} =?= normed_field.to_discrete_field.{?u_0}
[type_context.is_def_eq_detail] [5]: @nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4 =?= @nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6
[type_context.is_def_eq_detail] [6]: nondiscrete_normed_field.to_normed_field.{u_1} =?= nondiscrete_normed_field.to_normed_field.{?u_0}
[type_context.is_def_eq_detail] [4]: @normed_group.to_add_comm_group.{u_2} E _inst_1 =?= @normed_group.to_add_comm_group.{?u_1} ?x_2 ?x_4
[type_context.is_def_eq_detail] [5]: normed_group.to_add_comm_group.{u_2} =?= normed_group.to_add_comm_group.{?u_1}
[type_context.is_def_eq_detail] [4]: @normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1
  _inst_5 =?= @normed_space.to_vector_space.{?u_0 ?u_1} ?x_1 ?x_2 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6) ?x_4
  _inst_5
[type_context.is_def_eq_detail] [5]: normed_space.to_vector_space.{u_1 u_2} =?= normed_space.to_vector_space.{?u_0 ?u_1}
[type_context.is_def_eq_detail] [5]: @nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4 =?= @nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6
[type_context.is_def_eq_detail] [6]: nondiscrete_normed_field.to_normed_field.{u_1} =?= nondiscrete_normed_field.to_normed_field.{?u_0}
[class_instances]  class-instance resolution trace
[class_instances] (0) ?x_21 : @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) := _inst_7
[type_context.is_def_eq_detail] [3]: @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3
[type_context.is_def_eq_detail] [4]: normed_space.{u_1 (max u_3 u_4)} =?= normed_space.{u_1 u_4}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= G
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= G
[type_context.is_def_eq_detail] on failure: @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3
[type_context.is_def_eq] @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3 ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_21 : @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) := _inst_6
[type_context.is_def_eq_detail] [3]: @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2
[type_context.is_def_eq_detail] [4]: normed_space.{u_1 (max u_3 u_4)} =?= normed_space.{u_1 u_3}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= F
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= F
[type_context.is_def_eq_detail] on failure: @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2
[type_context.is_def_eq] @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2 ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_21 : @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) := _inst_5
[type_context.is_def_eq_detail] [3]: @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1
[type_context.is_def_eq_detail] [4]: normed_space.{u_1 (max u_3 u_4)} =?= normed_space.{u_1 u_2}
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= E
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= E
[type_context.is_def_eq_detail] on failure: @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1
[type_context.is_def_eq] @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1 ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_21 : @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) := @fintype.normed_space.{?u_7 ?u_8 ?u_9} ?x_22 ?x_23 ?x_24 ?x_25 ?x_26 ?x_27 ?x_28
[type_context.is_def_eq_detail] [3]: @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{?u_7 (max ?u_8 ?u_9)} ?x_22 (Π (i : ?x_23), ?x_25 i) ?x_24
  (@fintype.normed_group.{?u_8 ?u_9} ?x_23 (λ (i : ?x_23), ?x_25 i) ?x_26 (λ (i : ?x_23), ?x_27 i))
[type_context.is_def_eq_detail] [4]: normed_space.{u_1 (max u_3 u_4)} =?= normed_space.{?u_7 (max ?u_8 ?u_9)}
[type_context.is_def_eq_detail] process_assignment ?x_22 := 𝕜
[type_context.is_def_eq_detail] assign: ?x_22 := 𝕜
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= Π (i : ?x_23), ?x_25 i
[type_context.is_def_eq_detail] on failure: prod.{u_3 u_4} F G =?= Π (i : ?x_23), ?x_25 i
[type_context.is_def_eq_detail] on failure: @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{?u_7 (max ?u_8 ?u_9)} ?x_22 (Π (i : ?x_23), ?x_25 i) ?x_24
  (@fintype.normed_group.{?u_8 ?u_9} ?x_23 (λ (i : ?x_23), ?x_25 i) ?x_26 (λ (i : ?x_23), ?x_27 i))
[type_context.is_def_eq] @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{?u_7 (max ?u_8 ?u_9)} ?x_22 (Π (i : ?x_23), ?x_25 i) ?x_24
  (@fintype.normed_group.{?u_8 ?u_9} ?x_23 (λ (i : ?x_23), ?x_25 i) ?x_26 (λ (i : ?x_23), ?x_27 i)) ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_21 : @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) := @prod.normed_space.{?u_10 ?u_11 ?u_12} ?x_29 ?x_30 ?x_31 ?x_32 ?x_33 ?x_34 ?x_35 ?x_36
[type_context.is_def_eq_detail] [3]: @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{?u_10 (max ?u_11 ?u_12)} ?x_29 (prod.{?u_11 ?u_12} ?x_31 ?x_32) ?x_30
  (@prod.normed_group.{?u_11 ?u_12} ?x_31 ?x_32 ?x_33 ?x_35)
[type_context.is_def_eq_detail] [4]: normed_space.{u_1 (max u_3 u_4)} =?= normed_space.{?u_10 (max ?u_11 ?u_12)}
[type_context.is_def_eq_detail] process_assignment ?x_29 := 𝕜
[type_context.is_def_eq_detail] assign: ?x_29 := 𝕜
[type_context.is_def_eq_detail] [4]: prod.{u_3 u_4} F G =?= prod.{?u_11 ?u_12} ?x_31 ?x_32
[type_context.is_def_eq_detail] [5]: prod.{u_3 u_4} =?= prod.{?u_11 ?u_12}
[type_context.is_def_eq_detail] process_assignment ?x_31 := F
[type_context.is_def_eq_detail] assign: ?x_31 := F
[type_context.is_def_eq_detail] process_assignment ?x_32 := G
[type_context.is_def_eq_detail] assign: ?x_32 := G
[type_context.is_def_eq_detail] process_assignment ?x_30 := @nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4
[type_context.is_def_eq_detail] [4]: normed_field.{?u_10} ?x_29 =?= normed_field.{u_1} 𝕜
[type_context.is_def_eq_detail] [5]: normed_field.{?u_10} =?= normed_field.{u_1}
[type_context.is_def_eq_detail] assign: ?x_30 := @nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4
[class_instances]  class-instance resolution trace
[class_instances] (0) ?x_37 : normed_group.{u_3} F := _inst_3
[type_context.is_def_eq_detail] [4]: normed_group.{u_3} F =?= normed_group.{u_4} G
[type_context.is_def_eq_detail] [5]: normed_group.{u_3} =?= normed_group.{u_4}
[type_context.is_def_eq_detail] on failure: normed_group.{u_3} F =?= normed_group.{u_4} G
[type_context.is_def_eq] normed_group.{u_3} F =?= normed_group.{u_4} G ... failed  (approximate mode)
failed is_def_eq
[class_instances] (0) ?x_37 : normed_group.{u_3} F := _inst_2
[type_context.is_def_eq] normed_group.{u_3} F =?= normed_group.{u_3} F ... success  (approximate mode)
[class_instances]  class-instance resolution trace
[class_instances] (0) ?x_38 : normed_group.{u_4} G := _inst_3
[type_context.is_def_eq] normed_group.{u_4} G =?= normed_group.{u_4} G ... success  (approximate mode)
[type_context.is_def_eq_detail] [4]: @prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3 =?= @prod.normed_group.{?u_11 ?u_12} ?x_31 ?x_32 _inst_2 _inst_3
[type_context.is_def_eq] @normed_space.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
  (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3) =?= @normed_space.{?u_10 (max ?u_11 ?u_12)} ?x_29 (prod.{?u_11 ?u_12} ?x_31 ?x_32) ?x_30
  (@prod.normed_group.{?u_11 ?u_12} ?x_31 ?x_32 ?x_33 ?x_35) ... success  (approximate mode)
[class_instances] (1) ?x_30 : normed_field.{u_1} 𝕜 := complex.normed_field
[type_context.is_def_eq_detail] [3]: normed_field.{?u_10} ?x_29 =?= normed_field.{0} complex
[type_context.is_def_eq_detail] [4]: normed_field.{?u_10} =?= normed_field.{0}
[type_context.is_def_eq_detail] on failure: normed_field.{?u_10} ?x_29 =?= normed_field.{0} complex
[type_context.is_def_eq] normed_field.{?u_10} ?x_29 =?= normed_field.{0} complex ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_30 : normed_field.{u_1} 𝕜 := real.normed_field
[type_context.is_def_eq_detail] [3]: normed_field.{?u_10} ?x_29 =?= normed_field.{0} real
[type_context.is_def_eq_detail] [4]: normed_field.{?u_10} =?= normed_field.{0}
[type_context.is_def_eq_detail] on failure: normed_field.{?u_10} ?x_29 =?= normed_field.{0} real
[type_context.is_def_eq] normed_field.{?u_10} ?x_29 =?= normed_field.{0} real ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_30 : normed_field.{u_1} 𝕜 := @nondiscrete_normed_field.to_normed_field.{?u_13} ?x_39 ?x_40
[type_context.is_def_eq_detail] [3]: normed_field.{?u_10} ?x_29 =?= normed_field.{?u_13} ?x_39
[type_context.is_def_eq_detail] [4]: normed_field.{?u_10} =?= normed_field.{?u_13}
[type_context.is_def_eq_detail] process_assignment ?x_39 := 𝕜
[type_context.is_def_eq_detail] assign: ?x_39 := 𝕜
[type_context.is_def_eq] normed_field.{?u_10} ?x_29 =?= normed_field.{?u_13} ?x_39 ... success  (approximate mode)
[class_instances] (2) ?x_40 : nondiscrete_normed_field.{u_1} 𝕜 := _inst_4
[type_context.is_def_eq_detail] [3]: nondiscrete_normed_field.{?u_13} ?x_39 =?= nondiscrete_normed_field.{u_1} 𝕜
[type_context.is_def_eq_detail] [4]: nondiscrete_normed_field.{?u_13} =?= nondiscrete_normed_field.{u_1}
[type_context.is_def_eq] nondiscrete_normed_field.{?u_13} ?x_39 =?= nondiscrete_normed_field.{u_1} 𝕜 ... success  (approximate mode)
[class_instances] (1) ?x_33 : normed_group.{u_3} F := _inst_3
[type_context.is_def_eq_detail] [3]: normed_group.{?u_11} ?x_31 =?= normed_group.{u_4} G
[type_context.is_def_eq_detail] [4]: normed_group.{?u_11} =?= normed_group.{u_4}
[type_context.is_def_eq_detail] on failure: normed_group.{?u_11} ?x_31 =?= normed_group.{u_4} G
[type_context.is_def_eq] normed_group.{?u_11} ?x_31 =?= normed_group.{u_4} G ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_33 : normed_group.{u_3} F := _inst_2
[type_context.is_def_eq_detail] [3]: normed_group.{?u_11} ?x_31 =?= normed_group.{u_3} F
[type_context.is_def_eq_detail] [4]: normed_group.{?u_11} =?= normed_group.{u_3}
[type_context.is_def_eq] normed_group.{?u_11} ?x_31 =?= normed_group.{u_3} F ... success  (approximate mode)
[class_instances] (1) ?x_34 : @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2 := _inst_7
[type_context.is_def_eq_detail] [3]: @normed_space.{?u_10 ?u_11} ?x_29 ?x_31 ?x_30 ?x_33 =?= @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3
[type_context.is_def_eq_detail] [4]: normed_space.{?u_10 ?u_11} =?= normed_space.{u_1 u_4}
[type_context.is_def_eq_detail] on failure: @normed_space.{?u_10 ?u_11} ?x_29 ?x_31 ?x_30 ?x_33 =?= @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3
[type_context.is_def_eq] @normed_space.{?u_10 ?u_11} ?x_29 ?x_31 ?x_30 ?x_33 =?= @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3 ... failed  (approximate mode)
failed is_def_eq
[class_instances] (1) ?x_34 : @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2 := _inst_6
[type_context.is_def_eq_detail] [3]: @normed_space.{?u_10 ?u_11} ?x_29 ?x_31 ?x_30 ?x_33 =?= @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2
[type_context.is_def_eq_detail] [4]: normed_space.{?u_10 ?u_11} =?= normed_space.{u_1 u_3}
[type_context.is_def_eq] @normed_space.{?u_10 ?u_11} ?x_29 ?x_31 ?x_30 ?x_33 =?= @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2 ... success  (approximate mode)
[class_instances] (1) ?x_35 : normed_group.{u_4} G := _inst_3
[type_context.is_def_eq_detail] [3]: normed_group.{?u_12} ?x_32 =?= normed_group.{u_4} G
[type_context.is_def_eq_detail] [4]: normed_group.{?u_12} =?= normed_group.{u_4}
[type_context.is_def_eq] normed_group.{?u_12} ?x_32 =?= normed_group.{u_4} G ... success  (approximate mode)
[class_instances] (1) ?x_36 : @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3 := _inst_7
[type_context.is_def_eq_detail] [3]: @normed_space.{?u_10 ?u_12} ?x_29 ?x_32 ?x_30 ?x_35 =?= @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3
[type_context.is_def_eq_detail] [4]: normed_space.{?u_10 ?u_12} =?= normed_space.{u_1 u_4}
[type_context.is_def_eq] @normed_space.{?u_10 ?u_12} ?x_29 ?x_32 ?x_30 ?x_35 =?= @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3 ... success  (approximate mode)
[type_context.is_def_eq_detail] [3]: @prod.module.{u_1 u_3 u_4} 𝕜 F G
  (@normed_ring.to_ring.{u_1} 𝕜
     (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  (@normed_group.to_add_comm_group.{u_3} F _inst_2)
  (@normed_group.to_add_comm_group.{u_4} G _inst_3)
  (@vector_space.to_module.{u_1 u_3} 𝕜 F
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
     (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
        _inst_2
        _inst_6))
  (@vector_space.to_module.{u_1 u_4} 𝕜 G
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)
     (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
        _inst_3
        _inst_7)) =?= @vector_space.to_module.{?u_0 ?u_2} ?x_1 ?x_3
  (@normed_field.to_discrete_field.{?u_0} ?x_1 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6))
  (@normed_group.to_add_comm_group.{?u_2} ?x_3 ?x_5)
  (@normed_space.to_vector_space.{?u_0 ?u_2} ?x_1 ?x_3 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6) ?x_5
     (@prod.normed_space.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G _inst_2
        _inst_6
        _inst_3
        _inst_7))
[type_context.is_def_eq_detail] unfold left: prod.module
[type_context.is_def_eq_detail] [4]: @module.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@normed_ring.to_ring.{u_1} 𝕜
     (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@prod.semimodule.{u_1 u_3 u_4} 𝕜 F G
     (@ring.to_semiring.{u_1} 𝕜
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
     (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
     (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
     (@module.to_semimodule.{u_1 u_3} 𝕜 F
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6)))
     (@module.to_semimodule.{u_1 u_4} 𝕜 G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= @vector_space.to_module.{?u_0 ?u_2} ?x_1 ?x_3
  (@normed_field.to_discrete_field.{?u_0} ?x_1 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6))
  (@normed_group.to_add_comm_group.{?u_2} ?x_3 ?x_5)
  (@normed_space.to_vector_space.{?u_0 ?u_2} ?x_1 ?x_3 (@nondiscrete_normed_field.to_normed_field.{?u_0} ?x_1 ?x_6) ?x_5
     (@prod.normed_space.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G _inst_2
        _inst_6
        _inst_3
        _inst_7))
[type_context.is_def_eq_detail] [5]: @module.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@normed_ring.to_ring.{u_1} 𝕜
     (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@prod.semimodule.{u_1 u_3 u_4} 𝕜 F G
     (@ring.to_semiring.{u_1} 𝕜
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
     (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
     (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
     (@module.to_semimodule.{u_1 u_3} 𝕜 F
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6)))
     (@module.to_semimodule.{u_1 u_4} 𝕜 G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= @module.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@domain.to_ring.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
  (@semimodule.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
     (@ring.to_semiring.{u_1} 𝕜
        (@domain.to_ring.{u_1} 𝕜
           (@division_ring.to_domain.{u_1} 𝕜
              (@field.to_division_ring.{u_1} 𝕜
                 (@discrete_field.to_field.{u_1} 𝕜
                    (@normed_field.to_discrete_field.{u_1} 𝕜
                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))))
     (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3)))
     (@distrib_mul_action.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
        (@semiring.to_monoid.{u_1} 𝕜
           (@ring.to_semiring.{u_1} 𝕜
              (@domain.to_ring.{u_1} 𝕜
                 (@division_ring.to_domain.{u_1} 𝕜
                    (@field.to_division_ring.{u_1} 𝕜
                       (@discrete_field.to_field.{u_1} 𝕜
                          (@normed_field.to_discrete_field.{u_1} 𝕜
                             (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))))
        (@add_comm_monoid.to_add_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
                 (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
        (@distrib_mul_action.to_mul_action.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
           (@semiring.to_monoid.{u_1} 𝕜
              (@ring.to_semiring.{u_1} 𝕜
                 (@domain.to_ring.{u_1} 𝕜
                    (@division_ring.to_domain.{u_1} 𝕜
                       (@field.to_division_ring.{u_1} 𝕜
                          (@discrete_field.to_field.{u_1} 𝕜
                             (@normed_field.to_discrete_field.{u_1} 𝕜
                                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))))
           (@add_comm_monoid.to_add_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
                 (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                    (@normed_group.to_add_comm_group.{u_4} G _inst_3))))
           (@semimodule.to_distrib_mul_action.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
              (@ring.to_semiring.{u_1} 𝕜
                 (@domain.to_ring.{u_1} 𝕜
                    (@division_ring.to_domain.{u_1} 𝕜
                       (@field.to_division_ring.{u_1} 𝕜
                          (@discrete_field.to_field.{u_1} 𝕜
                             (@normed_field.to_discrete_field.{u_1} 𝕜
                                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))))
              (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
                 (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                    (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
              (@module.to_semimodule.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                 (@domain.to_ring.{u_1} 𝕜
                    (@division_ring.to_domain.{u_1} 𝕜
                       (@field.to_division_ring.{u_1} 𝕜
                          (@discrete_field.to_field.{u_1} 𝕜
                             (@normed_field.to_discrete_field.{u_1} 𝕜
                                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
                 (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                    (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                 (@vector_space.to_module.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                    (@normed_field.to_discrete_field.{u_1} 𝕜
                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                    (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                       (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                    (@prod.vector_space.{u_1 u_3 u_4} 𝕜 F G
                       (@normed_field.to_discrete_field.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                       (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                       (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                       (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                          _inst_2
                          _inst_6)
                       (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                          _inst_3
                          _inst_7))))))
        (@prod.normed_space._proof_1.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F
           G
           _inst_2
           _inst_6
           _inst_3
           _inst_7)
        (@prod.normed_space._proof_2.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F
           G
           _inst_2
           _inst_6
           _inst_3
           _inst_7))
     (@prod.normed_space._proof_3.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G
        _inst_2
        _inst_6
        _inst_3
        _inst_7)
     (@prod.normed_space._proof_4.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G
        _inst_2
        _inst_6
        _inst_3
        _inst_7))
[type_context.is_def_eq_detail] [6]: @normed_ring.to_ring.{u_1} 𝕜
  (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @domain.to_ring.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] unfold right: domain.to_ring
[type_context.is_def_eq_detail] [7]: @normed_ring.to_ring.{u_1} 𝕜
  (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @ring.mk.{u_1} 𝕜
  (@domain.add.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.add_assoc.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.zero.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.zero_add.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.add_zero.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.neg.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.add_left_neg.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.add_comm.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.mul.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.mul_assoc.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.one.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.one_mul.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.mul_one.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.left_distrib.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.right_distrib.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
[type_context.is_def_eq_detail] [8]: @ring.mk.{u_1} 𝕜
  (@discrete_field.add.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  (@normed_field.to_normed_ring._proof_1.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
  (@discrete_field.zero.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  (@normed_field.to_normed_ring._proof_2.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
  (@normed_field.to_normed_ring._proof_3.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
  (@discrete_field.neg.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  (@normed_field.to_normed_ring._proof_4.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
  (@normed_field.to_normed_ring._proof_5.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
  (@discrete_field.mul.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  (@normed_field.to_normed_ring._proof_6.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
  (@discrete_field.one.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
  (@normed_field.to_normed_ring._proof_7.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
  (@normed_field.to_normed_ring._proof_8.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
  (@normed_field.to_normed_ring._proof_9.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
  (@normed_field.to_normed_ring._proof_10.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @ring.mk.{u_1} 𝕜
  (@domain.add.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.add_assoc.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.zero.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.zero_add.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.add_zero.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.neg.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.add_left_neg.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.add_comm.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.mul.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.mul_assoc.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.one.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.one_mul.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.mul_one.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.left_distrib.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
  (@domain.right_distrib.{u_1} 𝕜
     (@division_ring.to_domain.{u_1} 𝕜
        (@field.to_division_ring.{u_1} 𝕜
           (@discrete_field.to_field.{u_1} 𝕜
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
[type_context.is_def_eq_detail] [9]: @discrete_field.add.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @domain.add.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @discrete_field.add.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @division_ring.add.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @discrete_field.add.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @field.add.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [9]: @normed_field.to_normed_ring._proof_1.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @domain.add_assoc.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @normed_field.to_normed_ring._proof_1.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @division_ring.add_assoc.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @normed_field.to_normed_ring._proof_1.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @field.add_assoc.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [12]: @normed_field.to_normed_ring._proof_1.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @discrete_field.add_assoc.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
[type_context.is_def_eq_detail] [13]: normed_field.to_normed_ring._proof_1.{u_1} =?= discrete_field.add_assoc.{u_1}
[type_context.is_def_eq_detail] [14]: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] [15]: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] on failure: normed_field.to_normed_ring._proof_1.{u_1} =?= discrete_field.add_assoc.{u_1}
[type_context.is_def_eq_detail] [9]: @discrete_field.zero.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @domain.zero.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @discrete_field.zero.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @division_ring.zero.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @discrete_field.zero.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @field.zero.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [9]: @normed_field.to_normed_ring._proof_2.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @domain.zero_add.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @normed_field.to_normed_ring._proof_2.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @division_ring.zero_add.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @normed_field.to_normed_ring._proof_2.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @field.zero_add.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [12]: @normed_field.to_normed_ring._proof_2.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @discrete_field.zero_add.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
[type_context.is_def_eq_detail] [13]: normed_field.to_normed_ring._proof_2.{u_1} =?= discrete_field.zero_add.{u_1}
[type_context.is_def_eq_detail] [14]: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] [15]: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] on failure: normed_field.to_normed_ring._proof_2.{u_1} =?= discrete_field.zero_add.{u_1}
[type_context.is_def_eq_detail] [9]: @normed_field.to_normed_ring._proof_3.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @domain.add_zero.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @normed_field.to_normed_ring._proof_3.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @division_ring.add_zero.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @normed_field.to_normed_ring._proof_3.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @field.add_zero.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [12]: @normed_field.to_normed_ring._proof_3.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @discrete_field.add_zero.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
[type_context.is_def_eq_detail] [13]: normed_field.to_normed_ring._proof_3.{u_1} =?= discrete_field.add_zero.{u_1}
[type_context.is_def_eq_detail] [14]: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] [15]: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] on failure: normed_field.to_normed_ring._proof_3.{u_1} =?= discrete_field.add_zero.{u_1}
[type_context.is_def_eq_detail] [9]: @discrete_field.neg.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @domain.neg.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @discrete_field.neg.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @division_ring.neg.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @discrete_field.neg.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @field.neg.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [9]: @normed_field.to_normed_ring._proof_4.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @domain.add_left_neg.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @normed_field.to_normed_ring._proof_4.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @division_ring.add_left_neg.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @normed_field.to_normed_ring._proof_4.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @field.add_left_neg.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [12]: @normed_field.to_normed_ring._proof_4.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @discrete_field.add_left_neg.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
[type_context.is_def_eq_detail] [13]: normed_field.to_normed_ring._proof_4.{u_1} =?= discrete_field.add_left_neg.{u_1}
[type_context.is_def_eq_detail] [14]: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] [15]: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] on failure: normed_field.to_normed_ring._proof_4.{u_1} =?= discrete_field.add_left_neg.{u_1}
[type_context.is_def_eq_detail] [9]: @normed_field.to_normed_ring._proof_5.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @domain.add_comm.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @normed_field.to_normed_ring._proof_5.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @division_ring.add_comm.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @normed_field.to_normed_ring._proof_5.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @field.add_comm.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [12]: @normed_field.to_normed_ring._proof_5.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @discrete_field.add_comm.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
[type_context.is_def_eq_detail] [13]: normed_field.to_normed_ring._proof_5.{u_1} =?= discrete_field.add_comm.{u_1}
[type_context.is_def_eq_detail] [14]: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] [15]: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] on failure: normed_field.to_normed_ring._proof_5.{u_1} =?= discrete_field.add_comm.{u_1}
[type_context.is_def_eq_detail] [9]: @discrete_field.mul.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @domain.mul.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @discrete_field.mul.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @division_ring.mul.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @discrete_field.mul.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @field.mul.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [9]: @normed_field.to_normed_ring._proof_6.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @domain.mul_assoc.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @normed_field.to_normed_ring._proof_6.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @division_ring.mul_assoc.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @normed_field.to_normed_ring._proof_6.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @field.mul_assoc.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [12]: @normed_field.to_normed_ring._proof_6.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @discrete_field.mul_assoc.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
[type_context.is_def_eq_detail] [13]: normed_field.to_normed_ring._proof_6.{u_1} =?= discrete_field.mul_assoc.{u_1}
[type_context.is_def_eq_detail] [14]: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] [15]: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] on failure: normed_field.to_normed_ring._proof_6.{u_1} =?= discrete_field.mul_assoc.{u_1}
[type_context.is_def_eq_detail] [9]: @discrete_field.one.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @domain.one.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @discrete_field.one.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @division_ring.one.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @discrete_field.one.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)) =?= @field.one.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [9]: @normed_field.to_normed_ring._proof_7.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @domain.one_mul.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @normed_field.to_normed_ring._proof_7.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @division_ring.one_mul.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @normed_field.to_normed_ring._proof_7.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @field.one_mul.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [12]: @normed_field.to_normed_ring._proof_7.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @discrete_field.one_mul.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
[type_context.is_def_eq_detail] [13]: normed_field.to_normed_ring._proof_7.{u_1} =?= discrete_field.one_mul.{u_1}
[type_context.is_def_eq_detail] [14]: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] [15]: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] on failure: normed_field.to_normed_ring._proof_7.{u_1} =?= discrete_field.one_mul.{u_1}
[type_context.is_def_eq_detail] [9]: @normed_field.to_normed_ring._proof_8.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @domain.mul_one.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @normed_field.to_normed_ring._proof_8.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @division_ring.mul_one.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @normed_field.to_normed_ring._proof_8.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @field.mul_one.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [12]: @normed_field.to_normed_ring._proof_8.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @discrete_field.mul_one.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
[type_context.is_def_eq_detail] [13]: normed_field.to_normed_ring._proof_8.{u_1} =?= discrete_field.mul_one.{u_1}
[type_context.is_def_eq_detail] [14]: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] [15]: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] on failure: normed_field.to_normed_ring._proof_8.{u_1} =?= discrete_field.mul_one.{u_1}
[type_context.is_def_eq_detail] [9]: @normed_field.to_normed_ring._proof_9.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @domain.left_distrib.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @normed_field.to_normed_ring._proof_9.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @division_ring.left_distrib.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @normed_field.to_normed_ring._proof_9.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @field.left_distrib.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [12]: @normed_field.to_normed_ring._proof_9.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @discrete_field.left_distrib.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
[type_context.is_def_eq_detail] [13]: normed_field.to_normed_ring._proof_9.{u_1} =?= discrete_field.left_distrib.{u_1}
[type_context.is_def_eq_detail] [14]: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] [15]: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] on failure: normed_field.to_normed_ring._proof_9.{u_1} =?= discrete_field.left_distrib.{u_1}
[type_context.is_def_eq_detail] [9]: @normed_field.to_normed_ring._proof_10.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @domain.right_distrib.{u_1} 𝕜
  (@division_ring.to_domain.{u_1} 𝕜
     (@field.to_division_ring.{u_1} 𝕜
        (@discrete_field.to_field.{u_1} 𝕜
           (@normed_field.to_discrete_field.{u_1} 𝕜
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
[type_context.is_def_eq_detail] [10]: @normed_field.to_normed_ring._proof_10.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @division_ring.right_distrib.{u_1} 𝕜
  (@field.to_division_ring.{u_1} 𝕜
     (@discrete_field.to_field.{u_1} 𝕜
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
[type_context.is_def_eq_detail] [11]: @normed_field.to_normed_ring._proof_10.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @field.right_distrib.{u_1} 𝕜
  (@discrete_field.to_field.{u_1} 𝕜
     (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
[type_context.is_def_eq_detail] [12]: @normed_field.to_normed_ring._proof_10.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) =?= @discrete_field.right_distrib.{u_1} 𝕜
  (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
[type_context.is_def_eq_detail] [13]: normed_field.to_normed_ring._proof_10.{u_1} =?= discrete_field.right_distrib.{u_1}
[type_context.is_def_eq_detail] [14]: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] [15]: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} =?= discrete_field.{u_1}
[type_context.is_def_eq_detail] on failure: normed_field.{u_1} α =?= discrete_field.{u_1} α
[type_context.is_def_eq_detail] on failure: normed_field.to_normed_ring._proof_10.{u_1} =?= discrete_field.right_distrib.{u_1}
[type_context.is_def_eq_detail] [6]: @prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
  (@normed_group.to_add_comm_group.{u_4} G _inst_3) =?= @normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3)
[type_context.is_def_eq_detail] unfold left: prod.add_comm_group
[type_context.is_def_eq_detail] [7]: @add_comm_group.mk.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
  (@add_comm_semigroup.add.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.add_comm_semigroup.{u_3 u_4} F G
        (@add_comm_monoid.to_add_comm_semigroup.{u_3} F
           (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
        (@add_comm_monoid.to_add_comm_semigroup.{u_4} G
           (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3)))))
  (@prod.add_comm_group._proof_1.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@add_group.zero.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.add_group.{u_3 u_4} F G
        (@add_comm_group.to_add_group.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
        (@add_comm_group.to_add_group.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))))
  (@prod.add_comm_group._proof_2.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@prod.add_comm_group._proof_3.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@add_group.neg.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.add_group.{u_3 u_4} F G
        (@add_comm_group.to_add_group.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
        (@add_comm_group.to_add_group.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))))
  (@prod.add_comm_group._proof_4.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@prod.add_comm_group._proof_5.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)) =?= @normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G) (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3)
[type_context.is_def_eq_detail] [8]: @add_comm_group.mk.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
  (@add_comm_semigroup.add.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.add_comm_semigroup.{u_3 u_4} F G
        (@add_comm_monoid.to_add_comm_semigroup.{u_3} F
           (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
        (@add_comm_monoid.to_add_comm_semigroup.{u_4} G
           (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3)))))
  (@prod.add_comm_group._proof_1.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@add_group.zero.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.add_group.{u_3 u_4} F G
        (@add_comm_group.to_add_group.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
        (@add_comm_group.to_add_group.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))))
  (@prod.add_comm_group._proof_2.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@prod.add_comm_group._proof_3.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@add_group.neg.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@prod.add_group.{u_3 u_4} F G
        (@add_comm_group.to_add_group.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
        (@add_comm_group.to_add_group.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))))
  (@prod.add_comm_group._proof_4.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@prod.add_comm_group._proof_5.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)) =?= @prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
  (@normed_group.to_add_comm_group.{u_4} G _inst_3)
[type_context.is_def_eq_detail] unfold right: prod.add_comm_group
[type_context.is_def_eq_detail] [6]: @prod.semimodule.{u_1 u_3 u_4} 𝕜 F G
  (@ring.to_semiring.{u_1} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
  (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
  (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@module.to_semimodule.{u_1 u_3} 𝕜 F
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@vector_space.to_module.{u_1 u_3} 𝕜 F
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_2
           _inst_6)))
  (@module.to_semimodule.{u_1 u_4} 𝕜 G
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)
     (@vector_space.to_module.{u_1 u_4} 𝕜 G
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_3
           _inst_7))) =?= @semimodule.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@ring.to_semiring.{u_1} 𝕜
     (@domain.to_ring.{u_1} 𝕜
        (@division_ring.to_domain.{u_1} 𝕜
           (@field.to_division_ring.{u_1} 𝕜
              (@discrete_field.to_field.{u_1} 𝕜
                 (@normed_field.to_discrete_field.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))))
  (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3)))
  (@distrib_mul_action.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
     (@semiring.to_monoid.{u_1} 𝕜
        (@ring.to_semiring.{u_1} 𝕜
           (@domain.to_ring.{u_1} 𝕜
              (@division_ring.to_domain.{u_1} 𝕜
                 (@field.to_division_ring.{u_1} 𝕜
                    (@discrete_field.to_field.{u_1} 𝕜
                       (@normed_field.to_discrete_field.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))))
     (@add_comm_monoid.to_add_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@distrib_mul_action.to_mul_action.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
        (@semiring.to_monoid.{u_1} 𝕜
           (@ring.to_semiring.{u_1} 𝕜
              (@domain.to_ring.{u_1} 𝕜
                 (@division_ring.to_domain.{u_1} 𝕜
                    (@field.to_division_ring.{u_1} 𝕜
                       (@discrete_field.to_field.{u_1} 𝕜
                          (@normed_field.to_discrete_field.{u_1} 𝕜
                             (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))))
        (@add_comm_monoid.to_add_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                 (@normed_group.to_add_comm_group.{u_4} G _inst_3))))
        (@semimodule.to_distrib_mul_action.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
           (@ring.to_semiring.{u_1} 𝕜
              (@domain.to_ring.{u_1} 𝕜
                 (@division_ring.to_domain.{u_1} 𝕜
                    (@field.to_division_ring.{u_1} 𝕜
                       (@discrete_field.to_field.{u_1} 𝕜
                          (@normed_field.to_discrete_field.{u_1} 𝕜
                             (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))))
           (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                 (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
           (@module.to_semimodule.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
              (@domain.to_ring.{u_1} 𝕜
                 (@division_ring.to_domain.{u_1} 𝕜
                    (@field.to_division_ring.{u_1} 𝕜
                       (@discrete_field.to_field.{u_1} 𝕜
                          (@normed_field.to_discrete_field.{u_1} 𝕜
                             (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
              (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                 (@normed_group.to_add_comm_group.{u_4} G _inst_3))
              (@vector_space.to_module.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                 (@normed_field.to_discrete_field.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                 (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                    (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                 (@prod.vector_space.{u_1 u_3 u_4} 𝕜 F G
                    (@normed_field.to_discrete_field.{u_1} 𝕜
                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                    (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                    (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                    (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                       _inst_2
                       _inst_6)
                    (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                       _inst_3
                       _inst_7))))))
     (@prod.normed_space._proof_1.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G
        _inst_2
        _inst_6
        _inst_3
        _inst_7)
     (@prod.normed_space._proof_2.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G
        _inst_2
        _inst_6
        _inst_3
        _inst_7))
  (@prod.normed_space._proof_3.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G
     _inst_2
     _inst_6
     _inst_3
     _inst_7)
  (@prod.normed_space._proof_4.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G
     _inst_2
     _inst_6
     _inst_3
     _inst_7)
[type_context.is_def_eq_detail] unfold left: prod.semimodule
[type_context.is_def_eq_detail] [7]: @semimodule.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@ring.to_semiring.{u_1} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
  (@prod.add_comm_monoid.{u_3 u_4} F G
     (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
     (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
  (@distrib_mul_action.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
     (@semiring.to_monoid.{u_1} 𝕜
        (@ring.to_semiring.{u_1} 𝕜
           (@normed_ring.to_ring.{u_1} 𝕜
              (@normed_field.to_normed_ring.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
     (@add_comm_monoid.to_add_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.add_comm_monoid.{u_3 u_4} F G
           (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
           (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))))
     (@mul_action.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
        (@semiring.to_monoid.{u_1} 𝕜
           (@ring.to_semiring.{u_1} 𝕜
              (@normed_ring.to_ring.{u_1} 𝕜
                 (@normed_field.to_normed_ring.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
        (@has_scalar.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
           (@has_scalar.smul.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
              (@prod.has_scalar.{u_1 u_3 u_4} 𝕜 F G
                 (@mul_action.to_has_scalar.{u_1 u_3} 𝕜 F
                    (@semiring.to_monoid.{u_1} 𝕜
                       (@ring.to_semiring.{u_1} 𝕜
                          (@normed_ring.to_ring.{u_1} 𝕜
                             (@normed_field.to_normed_ring.{u_1} 𝕜
                                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                    (@distrib_mul_action.to_mul_action.{u_1 u_3} 𝕜 F
                       (@semiring.to_monoid.{u_1} 𝕜
                          (@ring.to_semiring.{u_1} 𝕜
                             (@normed_ring.to_ring.{u_1} 𝕜
                                (@normed_field.to_normed_ring.{u_1} 𝕜
                                   (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                       (@add_comm_monoid.to_add_monoid.{u_3} F
                          (@add_comm_group.to_add_comm_monoid.{u_3} F
                             (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
                       (@semimodule.to_distrib_mul_action.{u_1 u_3} 𝕜 F
                          (@ring.to_semiring.{u_1} 𝕜
                             (@normed_ring.to_ring.{u_1} 𝕜
                                (@normed_field.to_normed_ring.{u_1} 𝕜
                                   (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
                          (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                          (@module.to_semimodule.{u_1 u_3} 𝕜 F
                             (@normed_ring.to_ring.{u_1} 𝕜
                                (@normed_field.to_normed_ring.{u_1} 𝕜
                                   (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
                             (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                             (@vector_space.to_module.{u_1 u_3} 𝕜 F
                                (@normed_field.to_discrete_field.{u_1} 𝕜
                                   (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                                (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                                   (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                   _inst_2
                                   _inst_6))))))
                 (@mul_action.to_has_scalar.{u_1 u_4} 𝕜 G
                    (@semiring.to_monoid.{u_1} 𝕜
                       (@ring.to_semiring.{u_1} 𝕜
                          (@normed_ring.to_ring.{u_1} 𝕜
                             (@normed_field.to_normed_ring.{u_1} 𝕜
                                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                    (@distrib_mul_action.to_mul_action.{u_1 u_4} 𝕜 G
                       (@semiring.to_monoid.{u_1} 𝕜
                          (@ring.to_semiring.{u_1} 𝕜
                             (@normed_ring.to_ring.{u_1} 𝕜
                                (@normed_field.to_normed_ring.{u_1} 𝕜
                                   (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                       (@add_comm_monoid.to_add_monoid.{u_4} G
                          (@add_comm_group.to_add_comm_monoid.{u_4} G
                             (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
                       (@semimodule.to_distrib_mul_action.{u_1 u_4} 𝕜 G
                          (@ring.to_semiring.{u_1} 𝕜
                             (@normed_ring.to_ring.{u_1} 𝕜
                                (@normed_field.to_normed_ring.{u_1} 𝕜
                                   (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
                          (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                          (@module.to_semimodule.{u_1 u_4} 𝕜 G
                             (@normed_ring.to_ring.{u_1} 𝕜
                                (@normed_field.to_normed_ring.{u_1} 𝕜
                                   (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
                             (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                             (@vector_space.to_module.{u_1 u_4} 𝕜 G
                                (@normed_field.to_discrete_field.{u_1} 𝕜
                                   (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                                (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                                   (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                   _inst_3
                                   _inst_7)))))))))
        (@prod.semimodule._proof_1.{u_1 u_3 u_4} 𝕜 F G
           (@ring.to_semiring.{u_1} 𝕜
              (@normed_ring.to_ring.{u_1} 𝕜
                 (@normed_field.to_normed_ring.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
           (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
           (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
           (@module.to_semimodule.{u_1 u_3} 𝕜 F
              (@normed_ring.to_ring.{u_1} 𝕜
                 (@normed_field.to_normed_ring.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
              (@normed_group.to_add_comm_group.{u_3} F _inst_2)
              (@vector_space.to_module.{u_1 u_3} 𝕜 F
                 (@normed_field.to_discrete_field.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                 (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                 (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                    _inst_2
                    _inst_6)))
           (@module.to_semimodule.{u_1 u_4} 𝕜 G
              (@normed_ring.to_ring.{u_1} 𝕜
                 (@normed_field.to_normed_ring.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
              (@normed_group.to_add_comm_group.{u_4} G _inst_3)
              (@vector_space.to_module.{u_1 u_4} 𝕜 G
                 (@normed_field.to_discrete_field.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                 (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                 (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                    _inst_3
                    _inst_7))))
        (@prod.semimodule._proof_2.{u_1 u_3 u_4} 𝕜 F G
           (@ring.to_semiring.{u_1} 𝕜
              (@normed_ring.to_ring.{u_1} 𝕜
                 (@normed_field.to_normed_ring.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
           (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
           (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
           (@module.to_semimodule.{u_1 u_3} 𝕜 F
              (@normed_ring.to_ring.{u_1} 𝕜
                 (@normed_field.to_normed_ring.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
              (@normed_group.to_add_comm_group.{u_3} F _inst_2)
              (@vector_space.to_module.{u_1 u_3} 𝕜 F
                 (@normed_field.to_discrete_field.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                 (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                 (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                    _inst_2
                    _inst_6)))
           (@module.to_semimodule.{u_1 u_4} 𝕜 G
              (@normed_ring.to_ring.{u_1} 𝕜
                 (@normed_field.to_normed_ring.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
              (@normed_group.to_add_comm_group.{u_4} G _inst_3)
              (@vector_space.to_module.{u_1 u_4} 𝕜 G
                 (@normed_field.to_discrete_field.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                 (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                 (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                    _inst_3
                    _inst_7)))))
     (@prod.semimodule._proof_3.{u_1 u_3 u_4} 𝕜 F G
        (@ring.to_semiring.{u_1} 𝕜
           (@normed_ring.to_ring.{u_1} 𝕜
              (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
        (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
        (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
        (@module.to_semimodule.{u_1 u_3} 𝕜 F
           (@normed_ring.to_ring.{u_1} 𝕜
              (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@vector_space.to_module.{u_1 u_3} 𝕜 F
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
              (@normed_group.to_add_comm_group.{u_3} F _inst_2)
              (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                 _inst_2
                 _inst_6)))
        (@module.to_semimodule.{u_1 u_4} 𝕜 G
           (@normed_ring.to_ring.{u_1} 𝕜
              (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@vector_space.to_module.{u_1 u_4} 𝕜 G
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
              (@normed_group.to_add_comm_group.{u_4} G _inst_3)
              (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                 _inst_3
                 _inst_7))))
     (@prod.semimodule._proof_4.{u_1 u_3 u_4} 𝕜 F G
        (@ring.to_semiring.{u_1} 𝕜
           (@normed_ring.to_ring.{u_1} 𝕜
              (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
        (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
        (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
        (@module.to_semimodule.{u_1 u_3} 𝕜 F
           (@normed_ring.to_ring.{u_1} 𝕜
              (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@vector_space.to_module.{u_1 u_3} 𝕜 F
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
              (@normed_group.to_add_comm_group.{u_3} F _inst_2)
              (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                 _inst_2
                 _inst_6)))
        (@module.to_semimodule.{u_1 u_4} 𝕜 G
           (@normed_ring.to_ring.{u_1} 𝕜
              (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@vector_space.to_module.{u_1 u_4} 𝕜 G
              (@normed_field.to_discrete_field.{u_1} 𝕜
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
              (@normed_group.to_add_comm_group.{u_4} G _inst_3)
              (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                 _inst_3
                 _inst_7)))))
  (@prod.semimodule._proof_5.{u_1 u_3 u_4} 𝕜 F G
     (@ring.to_semiring.{u_1} 𝕜
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
     (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
     (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
     (@module.to_semimodule.{u_1 u_3} 𝕜 F
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6)))
     (@module.to_semimodule.{u_1 u_4} 𝕜 G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7))))
  (@prod.semimodule._proof_6.{u_1 u_3 u_4} 𝕜 F G
     (@ring.to_semiring.{u_1} 𝕜
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
     (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
     (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
     (@module.to_semimodule.{u_1 u_3} 𝕜 F
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@vector_space.to_module.{u_1 u_3} 𝕜 F
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_3} F _inst_2)
           (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_2
              _inst_6)))
     (@module.to_semimodule.{u_1 u_4} 𝕜 G
        (@normed_ring.to_ring.{u_1} 𝕜
           (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@vector_space.to_module.{u_1 u_4} 𝕜 G
           (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
           (@normed_group.to_add_comm_group.{u_4} G _inst_3)
           (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
              (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
              _inst_3
              _inst_7)))) =?= @semimodule.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
  (@ring.to_semiring.{u_1} 𝕜
     (@domain.to_ring.{u_1} 𝕜
        (@division_ring.to_domain.{u_1} 𝕜
           (@field.to_division_ring.{u_1} 𝕜
              (@discrete_field.to_field.{u_1} 𝕜
                 (@normed_field.to_discrete_field.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))))
  (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
     (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3)))
  (@distrib_mul_action.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
     (@semiring.to_monoid.{u_1} 𝕜
        (@ring.to_semiring.{u_1} 𝕜
           (@domain.to_ring.{u_1} 𝕜
              (@division_ring.to_domain.{u_1} 𝕜
                 (@field.to_division_ring.{u_1} 𝕜
                    (@discrete_field.to_field.{u_1} 𝕜
                       (@normed_field.to_discrete_field.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))))
     (@add_comm_monoid.to_add_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
        (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
     (@distrib_mul_action.to_mul_action.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
        (@semiring.to_monoid.{u_1} 𝕜
           (@ring.to_semiring.{u_1} 𝕜
              (@domain.to_ring.{u_1} 𝕜
                 (@division_ring.to_domain.{u_1} 𝕜
                    (@field.to_division_ring.{u_1} 𝕜
                       (@discrete_field.to_field.{u_1} 𝕜
                          (@normed_field.to_discrete_field.{u_1} 𝕜
                             (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))))
        (@add_comm_monoid.to_add_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
           (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                 (@normed_group.to_add_comm_group.{u_4} G _inst_3))))
        (@semimodule.to_distrib_mul_action.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
           (@ring.to_semiring.{u_1} 𝕜
              (@domain.to_ring.{u_1} 𝕜
                 (@division_ring.to_domain.{u_1} 𝕜
                    (@field.to_division_ring.{u_1} 𝕜
                       (@discrete_field.to_field.{u_1} 𝕜
                          (@normed_field.to_discrete_field.{u_1} 𝕜
                             (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))))
           (@add_comm_group.to_add_comm_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
              (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                 (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
           (@module.to_semimodule.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
              (@domain.to_ring.{u_1} 𝕜
                 (@division_ring.to_domain.{u_1} 𝕜
                    (@field.to_division_ring.{u_1} 𝕜
                       (@discrete_field.to_field.{u_1} 𝕜
                          (@normed_field.to_discrete_field.{u_1} 𝕜
                             (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
              (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                 (@normed_group.to_add_comm_group.{u_4} G _inst_3))
              (@vector_space.to_module.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                 (@normed_field.to_discrete_field.{u_1} 𝕜
                    (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                 (@prod.add_comm_group.{u_3 u_4} F G (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                    (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                 (@prod.vector_space.{u_1 u_3 u_4} 𝕜 F G
                    (@normed_field.to_discrete_field.{u_1} 𝕜
                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                    (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                    (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                    (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                       _inst_2
                       _inst_6)
                    (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                       _inst_3
                       _inst_7))))))
     (@prod.normed_space._proof_1.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G
        _inst_2
        _inst_6
        _inst_3
        _inst_7)
     (@prod.normed_space._proof_2.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G
        _inst_2
        _inst_6
        _inst_3
        _inst_7))
  (@prod.normed_space._proof_3.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G
     _inst_2
     _inst_6
     _inst_3
     _inst_7)
  (@prod.normed_space._proof_4.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G
     _inst_2
     _inst_6
     _inst_3
     _inst_7)
[type_context.is_def_eq_detail] [8]: @prod.semimodule._proof_5.{u_1 u_3 u_4} 𝕜 F G
  (@ring.to_semiring.{u_1} 𝕜
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
  (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
  (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
  (@module.to_semimodule.{u_1 u_3} 𝕜 F
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     (@normed_group.to_add_comm_group.{u_3} F _inst_2)
     (@vector_space.to_module.{u_1 u_3} 𝕜 F
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_3} F _inst_2)
        (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_2
           _inst_6)))
  (@module.to_semimodule.{u_1 u_4} 𝕜 G
     (@normed_ring.to_ring.{u_1} 𝕜
        (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
     (@normed_group.to_add_comm_group.{u_4} G _inst_3)
     (@vector_space.to_module.{u_1 u_4} 𝕜 G
        (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
        (@normed_group.to_add_comm_group.{u_4} G _inst_3)
        (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
           _inst_3
           _inst_7))) =?= @prod.normed_space._proof_3.{u_1 u_3 u_4} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) F G
  _inst_2
  _inst_6
  _inst_3
  _inst_7
[type_context.is_def_eq_detail] [9]: prod.semimodule._proof_5.{u_1 u_3 u_4} =?= prod.normed_space._proof_3.{u_1 u_3 u_4}
[type_context.is_def_eq_detail] [10]: Type u_3 =?= normed_field.{u_1} α
[type_context.is_def_eq_detail] on failure: Type u_3 =?= normed_field.{u_1} α
[type_context.is_def_eq_detail] on failure: prod.semimodule._proof_5.{u_1 u_3 u_4} =?= prod.normed_space._proof_3.{u_1 u_3 u_4}
[type_context.is_def_eq_detail] [9]: @eq.{(max (u_3+1) (u_4+1))} (prod.{u_3 u_4} F G)
  (@prod.mk.{u_3 u_4} F G
     (@has_scalar.smul.{u_1 u_3} 𝕜 F
        (@mul_action.to_has_scalar.{u_1 u_3} 𝕜 F
           (@semiring.to_monoid.{u_1} 𝕜
              (@ring.to_semiring.{u_1} 𝕜
                 (@normed_ring.to_ring.{u_1} 𝕜
                    (@normed_field.to_normed_ring.{u_1} 𝕜
                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
           (@distrib_mul_action.to_mul_action.{u_1 u_3} 𝕜 F
              (@semiring.to_monoid.{u_1} 𝕜
                 (@ring.to_semiring.{u_1} 𝕜
                    (@normed_ring.to_ring.{u_1} 𝕜
                       (@normed_field.to_normed_ring.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
              (@add_comm_monoid.to_add_monoid.{u_3} F
                 (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
              (@semimodule.to_distrib_mul_action.{u_1 u_3} 𝕜 F
                 (@ring.to_semiring.{u_1} 𝕜
                    (@normed_ring.to_ring.{u_1} 𝕜
                       (@normed_field.to_normed_ring.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
                 (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                 (@module.to_semimodule.{u_1 u_3} 𝕜 F
                    (@normed_ring.to_ring.{u_1} 𝕜
                       (@normed_field.to_normed_ring.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
                    (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                    (@vector_space.to_module.{u_1 u_3} 𝕜 F
                       (@normed_field.to_discrete_field.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                       (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                       (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                          _inst_2
                          _inst_6))))))
        (@has_add.add.{u_1} 𝕜
           (@distrib.to_has_add.{u_1} 𝕜
              (@semiring.to_distrib.{u_1} 𝕜
                 (@ring.to_semiring.{u_1} 𝕜
                    (@normed_ring.to_ring.{u_1} 𝕜
                       (@normed_field.to_normed_ring.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
           a
           p₁)
        (@prod.fst.{u_3 u_4} F G p₂))
     (@has_scalar.smul.{u_1 u_4} 𝕜 G
        (@mul_action.to_has_scalar.{u_1 u_4} 𝕜 G
           (@semiring.to_monoid.{u_1} 𝕜
              (@ring.to_semiring.{u_1} 𝕜
                 (@normed_ring.to_ring.{u_1} 𝕜
                    (@normed_field.to_normed_ring.{u_1} 𝕜
                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
           (@distrib_mul_action.to_mul_action.{u_1 u_4} 𝕜 G
              (@semiring.to_monoid.{u_1} 𝕜
                 (@ring.to_semiring.{u_1} 𝕜
                    (@normed_ring.to_ring.{u_1} 𝕜
                       (@normed_field.to_normed_ring.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
              (@add_comm_monoid.to_add_monoid.{u_4} G
                 (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
              (@semimodule.to_distrib_mul_action.{u_1 u_4} 𝕜 G
                 (@ring.to_semiring.{u_1} 𝕜
                    (@normed_ring.to_ring.{u_1} 𝕜
                       (@normed_field.to_normed_ring.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
                 (@add_comm_group.to_add_comm_monoid.{u_4} G (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                 (@module.to_semimodule.{u_1 u_4} 𝕜 G
                    (@normed_ring.to_ring.{u_1} 𝕜
                       (@normed_field.to_normed_ring.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
                    (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                    (@vector_space.to_module.{u_1 u_4} 𝕜 G
                       (@normed_field.to_discrete_field.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                       (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                       (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                          _inst_3
                          _inst_7))))))
        (@has_add.add.{u_1} 𝕜
           (@distrib.to_has_add.{u_1} 𝕜
              (@semiring.to_distrib.{u_1} 𝕜
                 (@ring.to_semiring.{u_1} 𝕜
                    (@normed_ring.to_ring.{u_1} 𝕜
                       (@normed_field.to_normed_ring.{u_1} 𝕜
                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))))
           a
           p₁)
        (@prod.snd.{u_3 u_4} F G p₂)))
  (@prod.mk.{u_3 u_4} F G
     (@has_add.add.{u_3} F
        (@add_semigroup.to_has_add.{u_3} F
           (@add_comm_semigroup.to_add_semigroup.{u_3} F
              (@add_comm_monoid.to_add_comm_semigroup.{u_3} F
                 (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2)))))
        (@prod.fst.{u_3 u_4} F G
           (@has_scalar.smul.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
              (@mul_action.to_has_scalar.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                 (@semiring.to_monoid.{u_1} 𝕜
                    (@ring.to_semiring.{u_1} 𝕜
                       (@normed_ring.to_ring.{u_1} 𝕜
                          (@normed_field.to_normed_ring.{u_1} 𝕜
                             (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                 (@distrib_mul_action.to_mul_action.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                    (@semiring.to_monoid.{u_1} 𝕜
                       (@ring.to_semiring.{u_1} 𝕜
                          (@normed_ring.to_ring.{u_1} 𝕜
                             (@normed_field.to_normed_ring.{u_1} 𝕜
                                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                    (@add_comm_monoid.to_add_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
                       (@prod.add_comm_monoid.{u_3 u_4} F G
                          (@add_comm_group.to_add_comm_monoid.{u_3} F (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                          (@add_comm_group.to_add_comm_monoid.{u_4} G
                             (@normed_group.to_add_comm_group.{u_4} G _inst_3))))
                    (@distrib_mul_action.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                       (@semiring.to_monoid.{u_1} 𝕜
                          (@ring.to_semiring.{u_1} 𝕜
                             (@normed_ring.to_ring.{u_1} 𝕜
                                (@normed_field.to_normed_ring.{u_1} 𝕜
                                   (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                       (@add_comm_monoid.to_add_monoid.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
                          (@prod.add_comm_monoid.{u_3 u_4} F G
                             (@add_comm_group.to_add_comm_monoid.{u_3} F
                                (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                             (@add_comm_group.to_add_comm_monoid.{u_4} G
                                (@normed_group.to_add_comm_group.{u_4} G _inst_3))))
                       (@mul_action.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                          (@semiring.to_monoid.{u_1} 𝕜
                             (@ring.to_semiring.{u_1} 𝕜
                                (@normed_ring.to_ring.{u_1} 𝕜
                                   (@normed_field.to_normed_ring.{u_1} 𝕜
                                      (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                          (@has_scalar.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                             (@has_scalar.smul.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                                (@prod.has_scalar.{u_1 u_3 u_4} 𝕜 F G
                                   (@mul_action.to_has_scalar.{u_1 u_3} 𝕜 F
                                      (@semiring.to_monoid.{u_1} 𝕜
                                         (@ring.to_semiring.{u_1} 𝕜
                                            (@normed_ring.to_ring.{u_1} 𝕜
                                               (@normed_field.to_normed_ring.{u_1} 𝕜
                                                  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                                      (@distrib_mul_action.to_mul_action.{u_1 u_3} 𝕜 F
                                         (@semiring.to_monoid.{u_1} 𝕜
                                            (@ring.to_semiring.{u_1} 𝕜
                                               (@normed_ring.to_ring.{u_1} 𝕜
                                                  (@normed_field.to_normed_ring.{u_1} 𝕜
                                                     (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                                         (@add_comm_monoid.to_add_monoid.{u_3} F
                                            (@add_comm_group.to_add_comm_monoid.{u_3} F
                                               (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
                                         (@semimodule.to_distrib_mul_action.{u_1 u_3} 𝕜 F
                                            (@ring.to_semiring.{u_1} 𝕜
                                               (@normed_ring.to_ring.{u_1} 𝕜
                                                  (@normed_field.to_normed_ring.{u_1} 𝕜
                                                     (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
                                            (@add_comm_group.to_add_comm_monoid.{u_3} F
                                               (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                                            (@module.to_semimodule.{u_1 u_3} 𝕜 F
                                               (@normed_ring.to_ring.{u_1} 𝕜
                                                  (@normed_field.to_normed_ring.{u_1} 𝕜
                                                     (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
                                               (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                               (@vector_space.to_module.{u_1 u_3} 𝕜 F
                                                  (@normed_field.to_discrete_field.{u_1} 𝕜
                                                     (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                                                  (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                  (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                                                     (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                                     _inst_2
                                                     _inst_6))))))
                                   (@mul_action.to_has_scalar.{u_1 u_4} 𝕜 G
                                      (@semiring.to_monoid.{u_1} 𝕜
                                         (@ring.to_semiring.{u_1} 𝕜
                                            (@normed_ring.to_ring.{u_1} 𝕜
                                               (@normed_field.to_normed_ring.{u_1} 𝕜
                                                  (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                                      (@distrib_mul_action.to_mul_action.{u_1 u_4} 𝕜 G
                                         (@semiring.to_monoid.{u_1} 𝕜
                                            (@ring.to_semiring.{u_1} 𝕜
                                               (@normed_ring.to_ring.{u_1} 𝕜
                                                  (@normed_field.to_normed_ring.{u_1} 𝕜
                                                     (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))))
                                         (@add_comm_monoid.to_add_monoid.{u_4} G
                                            (@add_comm_group.to_add_comm_monoid.{u_4} G
                                               (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
                                         (@semimodule.to_distrib_mul_action.{u_1 u_4} 𝕜 G
                                            (@ring.to_semiring.{u_1} 𝕜
                                               (@normed_ring.to_ring.{u_1} 𝕜
                                                  (@normed_field.to_normed_ring.{u_1} 𝕜
                                                     (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
                                            (@add_comm_group.to_add_comm_monoid.{u_4} G
                                               (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                                            (@module.to_semimodule.{u_1 u_4} 𝕜 G
                                               (@normed_ring.to_ring.{u_1} 𝕜
                                                  (@normed_field.to_normed_ring.{u_1} 𝕜
                                                     (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
                                               (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                               (@vector_space.to_module.{u_1 u_4} 𝕜 G
                                                  (@normed_field.to_discrete_field.{u_1} 𝕜
                                                     (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                                                  (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                                  (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                                                     (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                                     _inst_3
                                                     _inst_7)))))))))
                          (λ (_x : prod.{u_3 u_4} F G),
                             @prod.semimodule._match_1.{u_1 u_3 u_4} 𝕜 F G
                               (@ring.to_semiring.{u_1} 𝕜
                                  (@normed_ring.to_ring.{u_1} 𝕜
                                     (@normed_field.to_normed_ring.{u_1} 𝕜
                                        (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))))
                               (@add_comm_group.to_add_comm_monoid.{u_3} F
                                  (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                               (@add_comm_group.to_add_comm_monoid.{u_4} G
                                  (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                               (@module.to_semimodule.{u_1 u_3} 𝕜 F
                                  (@normed_ring.to_ring.{u_1} 𝕜
                                     (@normed_field.to_normed_ring.{u_1} 𝕜
                                        (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
                                  (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                  (@vector_space.to_module.{u_1 u_3} 𝕜 F
                                     (@normed_field.to_discrete_field.{u_1} 𝕜
                                        (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                                     (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                     (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                                        (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                        _inst_2
                                        _inst_6)))
                               (@module.to_semimodule.{u_1 u_4} 𝕜 G
                                  (@normed_ring.to_ring.{u_1} 𝕜
                                     (@normed_field.to_normed_ring.{u_1} 𝕜
                                        (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
                                  (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                  (@vector_space.to_module.{u_1 u_4} 𝕜 G
                                     (@normed_field.to_discrete_field.{u_1} 𝕜
                                        (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
                                     (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                     (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                                        (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                        _inst_3
                                        _inst_7)))
                               _x)
                          (λ (a₁ a₂ : 𝕜) (p : prod.{u_3 u_4} F G),
                             @iff.mpr
                               (@eq.{(max (u_3+1) (u_4+1))} (prod.{u_3 u_4} F G)
                                  (@prod.mk.{u_3 u_4} F G
                                     (@has_scalar.smul.{u_1 u_3} 𝕜 F
                                        (@mul_action.to_has_scalar.{u_1 u_3} 𝕜 F
                                           (@semiring.to_monoid.{u_1} 𝕜
                                              (@ring.to_semiring.{u_1} 𝕜
                                                 (@normed_ring.to_ring.{u_1} 𝕜
                                                    (@normed_field.to_normed_ring.{u_1} 𝕜
                                                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                          _inst_4)))))
                                           (@distrib_mul_action.to_mul_action.{u_1 u_3} 𝕜 F
                                              (@semiring.to_monoid.{u_1} 𝕜
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))))
                                              (@add_comm_monoid.to_add_monoid.{u_3} F
                                                 (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
                                              (@semimodule.to_distrib_mul_action.{u_1 u_3} 𝕜 F
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))))
                                                 (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                                                 (@module.to_semimodule.{u_1 u_3} 𝕜 F
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                    (@vector_space.to_module.{u_1 u_3} 𝕜 F
                                                       (@normed_field.to_discrete_field.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))
                                                       (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                       (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                                          _inst_2
                                                          _inst_6))))))
                                        (@has_mul.mul.{u_1} 𝕜
                                           (@semigroup.to_has_mul.{u_1} 𝕜
                                              (@monoid.to_semigroup.{u_1} 𝕜
                                                 (@semiring.to_monoid.{u_1} 𝕜
                                                    (@ring.to_semiring.{u_1} 𝕜
                                                       (@normed_ring.to_ring.{u_1} 𝕜
                                                          (@normed_field.to_normed_ring.{u_1} 𝕜
                                                             (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                                _inst_4)))))))
                                           a₁
                                           a₂)
                                        (@prod.fst.{u_3 u_4} F G p))
                                     (@has_scalar.smul.{u_1 u_4} 𝕜 G
                                        (@mul_action.to_has_scalar.{u_1 u_4} 𝕜 G
                                           (@semiring.to_monoid.{u_1} 𝕜
                                              (@ring.to_semiring.{u_1} 𝕜
                                                 (@normed_ring.to_ring.{u_1} 𝕜
                                                    (@normed_field.to_normed_ring.{u_1} 𝕜
                                                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                          _inst_4)))))
                                           (@distrib_mul_action.to_mul_action.{u_1 u_4} 𝕜 G
                                              (@semiring.to_monoid.{u_1} 𝕜
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))))
                                              (@add_comm_monoid.to_add_monoid.{u_4} G
                                                 (@add_comm_group.to_add_comm_monoid.{u_4} G
                                                    (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
                                              (@semimodule.to_distrib_mul_action.{u_1 u_4} 𝕜 G
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))))
                                                 (@add_comm_group.to_add_comm_monoid.{u_4} G
                                                    (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                                                 (@module.to_semimodule.{u_1 u_4} 𝕜 G
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))
                                                    (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                                    (@vector_space.to_module.{u_1 u_4} 𝕜 G
                                                       (@normed_field.to_discrete_field.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))
                                                       (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                                       (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                                          _inst_3
                                                          _inst_7))))))
                                        (@has_mul.mul.{u_1} 𝕜
                                           (@semigroup.to_has_mul.{u_1} 𝕜
                                              (@monoid.to_semigroup.{u_1} 𝕜
                                                 (@semiring.to_monoid.{u_1} 𝕜
                                                    (@ring.to_semiring.{u_1} 𝕜
                                                       (@normed_ring.to_ring.{u_1} 𝕜
                                                          (@normed_field.to_normed_ring.{u_1} 𝕜
                                                             (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                                _inst_4)))))))
                                           a₁
                                           a₂)
                                        (@prod.snd.{u_3 u_4} F G p)))
                                  (@prod.mk.{u_3 u_4} F G
                                     (@has_scalar.smul.{u_1 u_3} 𝕜 F
                                        (@mul_action.to_has_scalar.{u_1 u_3} 𝕜 F
                                           (@semiring.to_monoid.{u_1} 𝕜
                                              (@ring.to_semiring.{u_1} 𝕜
                                                 (@normed_ring.to_ring.{u_1} 𝕜
                                                    (@normed_field.to_normed_ring.{u_1} 𝕜
                                                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                          _inst_4)))))
                                           (@distrib_mul_action.to_mul_action.{u_1 u_3} 𝕜 F
                                              (@semiring.to_monoid.{u_1} 𝕜
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))))
                                              (@add_comm_monoid.to_add_monoid.{u_3} F
                                                 (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
                                              (@semimodule.to_distrib_mul_action.{u_1 u_3} 𝕜 F
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))))
                                                 (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                                                 (@module.to_semimodule.{u_1 u_3} 𝕜 F
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                    (@vector_space.to_module.{u_1 u_3} 𝕜 F
                                                       (@normed_field.to_discrete_field.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))
                                                       (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                       (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                                          _inst_2
                                                          _inst_6))))))
                                        a₁
                                        (@prod.fst.{u_3 u_4} F G
                                           (@has_scalar.smul.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                                              (@has_scalar.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                                                 (@has_scalar.smul.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                                                    (@prod.has_scalar.{u_1 u_3 u_4} 𝕜 F G
                                                       (@mul_action.to_has_scalar.{u_1 u_3} 𝕜 F
                                                          (@semiring.to_monoid.{u_1} 𝕜
                                                             (@ring.to_semiring.{u_1} 𝕜
                                                                (@normed_ring.to_ring.{u_1} 𝕜
                                                                   (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                      (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                         𝕜
                                                                         _inst_4)))))
                                                          (@distrib_mul_action.to_mul_action.{u_1 u_3} 𝕜 F
                                                             (@semiring.to_monoid.{u_1} 𝕜
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))))
                                                             (@add_comm_monoid.to_add_monoid.{u_3} F
                                                                (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                                   (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
                                                             (@semimodule.to_distrib_mul_action.{u_1 u_3} 𝕜 F
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))))
                                                                (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                                   (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                                                                (@module.to_semimodule.{u_1 u_3} 𝕜 F
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))
                                                                   (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                                   (@vector_space.to_module.{u_1 u_3} 𝕜 F
                                                                      (@normed_field.to_discrete_field.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))
                                                                      (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                                      (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)
                                                                         _inst_2
                                                                         _inst_6))))))
                                                       (@mul_action.to_has_scalar.{u_1 u_4} 𝕜 G
                                                          (@semiring.to_monoid.{u_1} 𝕜
                                                             (@ring.to_semiring.{u_1} 𝕜
                                                                (@normed_ring.to_ring.{u_1} 𝕜
                                                                   (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                      (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                         𝕜
                                                                         _inst_4)))))
                                                          (@distrib_mul_action.to_mul_action.{u_1 u_4} 𝕜 G
                                                             (@semiring.to_monoid.{u_1} 𝕜
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))))
                                                             (@add_comm_monoid.to_add_monoid.{u_4} G
                                                                (@add_comm_group.to_add_comm_monoid.{u_4} G
                                                                   (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
                                                             (@semimodule.to_distrib_mul_action.{u_1 u_4} 𝕜 G
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))))
                                                                (@add_comm_group.to_add_comm_monoid.{u_4} G
                                                                   (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                                                                (@module.to_semimodule.{u_1 u_4} 𝕜 G
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))
                                                                   (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                                                   (@vector_space.to_module.{u_1 u_4} 𝕜 G
                                                                      (@normed_field.to_discrete_field.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))
                                                                      (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                                                      (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)
                                                                         _inst_3
                                                                         _inst_7)))))))))
                                              a₂
                                              p)))
                                     (@has_scalar.smul.{u_1 u_4} 𝕜 G
                                        (@mul_action.to_has_scalar.{u_1 u_4} 𝕜 G
                                           (@semiring.to_monoid.{u_1} 𝕜
                                              (@ring.to_semiring.{u_1} 𝕜
                                                 (@normed_ring.to_ring.{u_1} 𝕜
                                                    (@normed_field.to_normed_ring.{u_1} 𝕜
                                                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                          _inst_4)))))
                                           (@distrib_mul_action.to_mul_action.{u_1 u_4} 𝕜 G
                                              (@semiring.to_monoid.{u_1} 𝕜
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))))
                                              (@add_comm_monoid.to_add_monoid.{u_4} G
                                                 (@add_comm_group.to_add_comm_monoid.{u_4} G
                                                    (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
                                              (@semimodule.to_distrib_mul_action.{u_1 u_4} 𝕜 G
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))))
                                                 (@add_comm_group.to_add_comm_monoid.{u_4} G
                                                    (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                                                 (@module.to_semimodule.{u_1 u_4} 𝕜 G
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))
                                                    (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                                    (@vector_space.to_module.{u_1 u_4} 𝕜 G
                                                       (@normed_field.to_discrete_field.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))
                                                       (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                                       (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                                          _inst_3
                                                          _inst_7))))))
                                        a₁
                                        (@prod.snd.{u_3 u_4} F G
                                           (@has_scalar.smul.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                                              (@has_scalar.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                                                 (@has_scalar.smul.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                                                    (@prod.has_scalar.{u_1 u_3 u_4} 𝕜 F G
                                                       (@mul_action.to_has_scalar.{u_1 u_3} 𝕜 F
                                                          (@semiring.to_monoid.{u_1} 𝕜
                                                             (@ring.to_semiring.{u_1} 𝕜
                                                                (@normed_ring.to_ring.{u_1} 𝕜
                                                                   (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                      (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                         𝕜
                                                                         _inst_4)))))
                                                          (@distrib_mul_action.to_mul_action.{u_1 u_3} 𝕜 F
                                                             (@semiring.to_monoid.{u_1} 𝕜
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))))
                                                             (@add_comm_monoid.to_add_monoid.{u_3} F
                                                                (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                                   (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
                                                             (@semimodule.to_distrib_mul_action.{u_1 u_3} 𝕜 F
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))))
                                                                (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                                   (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                                                                (@module.to_semimodule.{u_1 u_3} 𝕜 F
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))
                                                                   (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                                   (@vector_space.to_module.{u_1 u_3} 𝕜 F
                                                                      (@normed_field.to_discrete_field.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))
                                                                      (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                                      (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)
                                                                         _inst_2
                                                                         _inst_6))))))
                                                       (@mul_action.to_has_scalar.{u_1 u_4} 𝕜 G
                                                          (@semiring.to_monoid.{u_1} 𝕜
                                                             (@ring.to_semiring.{u_1} 𝕜
                                                                (@normed_ring.to_ring.{u_1} 𝕜
                                                                   (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                      (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                         𝕜
                                                                         _inst_4)))))
                                                          (@distrib_mul_action.to_mul_action.{u_1 u_4} 𝕜 G
                                                             (@semiring.to_monoid.{u_1} 𝕜
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))))
                                                             (@add_comm_monoid.to_add_monoid.{u_4} G
                                                                (@add_comm_group.to_add_comm_monoid.{u_4} G
                                                                   (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
                                                             (@semimodule.to_distrib_mul_action.{u_1 u_4} 𝕜 G
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))))
                                                                (@add_comm_group.to_add_comm_monoid.{u_4} G
                                                                   (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                                                                (@module.to_semimodule.{u_1 u_4} 𝕜 G
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))
                                                                   (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                                                   (@vector_space.to_module.{u_1 u_4} 𝕜 G
                                                                      (@normed_field.to_discrete_field.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))
                                                                      (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                                                      (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)
                                                                         _inst_3
                                                                         _inst_7)))))))))
                                              a₂
                                              p)))))
                               (and
                                  (@eq.{u_3+1} F
                                     (@has_scalar.smul.{u_1 u_3} 𝕜 F
                                        (@mul_action.to_has_scalar.{u_1 u_3} 𝕜 F
                                           (@semiring.to_monoid.{u_1} 𝕜
                                              (@ring.to_semiring.{u_1} 𝕜
                                                 (@normed_ring.to_ring.{u_1} 𝕜
                                                    (@normed_field.to_normed_ring.{u_1} 𝕜
                                                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                          _inst_4)))))
                                           (@distrib_mul_action.to_mul_action.{u_1 u_3} 𝕜 F
                                              (@semiring.to_monoid.{u_1} 𝕜
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))))
                                              (@add_comm_monoid.to_add_monoid.{u_3} F
                                                 (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
                                              (@semimodule.to_distrib_mul_action.{u_1 u_3} 𝕜 F
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))))
                                                 (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                                                 (@module.to_semimodule.{u_1 u_3} 𝕜 F
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                    (@vector_space.to_module.{u_1 u_3} 𝕜 F
                                                       (@normed_field.to_discrete_field.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))
                                                       (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                       (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                                          _inst_2
                                                          _inst_6))))))
                                        (@has_mul.mul.{u_1} 𝕜
                                           (@semigroup.to_has_mul.{u_1} 𝕜
                                              (@monoid.to_semigroup.{u_1} 𝕜
                                                 (@semiring.to_monoid.{u_1} 𝕜
                                                    (@ring.to_semiring.{u_1} 𝕜
                                                       (@normed_ring.to_ring.{u_1} 𝕜
                                                          (@normed_field.to_normed_ring.{u_1} 𝕜
                                                             (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                                _inst_4)))))))
                                           a₁
                                           a₂)
                                        (@prod.fst.{u_3 u_4} F G p))
                                     (@has_scalar.smul.{u_1 u_3} 𝕜 F
                                        (@mul_action.to_has_scalar.{u_1 u_3} 𝕜 F
                                           (@semiring.to_monoid.{u_1} 𝕜
                                              (@ring.to_semiring.{u_1} 𝕜
                                                 (@normed_ring.to_ring.{u_1} 𝕜
                                                    (@normed_field.to_normed_ring.{u_1} 𝕜
                                                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                          _inst_4)))))
                                           (@distrib_mul_action.to_mul_action.{u_1 u_3} 𝕜 F
                                              (@semiring.to_monoid.{u_1} 𝕜
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))))
                                              (@add_comm_monoid.to_add_monoid.{u_3} F
                                                 (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
                                              (@semimodule.to_distrib_mul_action.{u_1 u_3} 𝕜 F
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))))
                                                 (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                                                 (@module.to_semimodule.{u_1 u_3} 𝕜 F
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4)))
                                                    (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                    (@vector_space.to_module.{u_1 u_3} 𝕜 F
                                                       (@normed_field.to_discrete_field.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                             _inst_4))
                                                       (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                       (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                                                          _inst_2
                                                          _inst_6))))))
                                        a₁
                                        (@prod.fst.{u_3 u_4} F G
                                           (@has_scalar.smul.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                                              (@has_scalar.mk.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                                                 (@has_scalar.smul.{u_1 (max u_3 u_4)} 𝕜 (prod.{u_3 u_4} F G)
                                                    (@prod.has_scalar.{u_1 u_3 u_4} 𝕜 F G
                                                       (@mul_action.to_has_scalar.{u_1 u_3} 𝕜 F
                                                          (@semiring.to_monoid.{u_1} 𝕜
                                                             (@ring.to_semiring.{u_1} 𝕜
                                                                (@normed_ring.to_ring.{u_1} 𝕜
                                                                   (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                      (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                         𝕜
                                                                         _inst_4)))))
                                                          (@distrib_mul_action.to_mul_action.{u_1 u_3} 𝕜 F
                                                             (@semiring.to_monoid.{u_1} 𝕜
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))))
                                                             (@add_comm_monoid.to_add_monoid.{u_3} F
                                                                (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                                   (@normed_group.to_add_comm_group.{u_3} F _inst_2)))
                                                             (@semimodule.to_distrib_mul_action.{u_1 u_3} 𝕜 F
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))))
                                                                (@add_comm_group.to_add_comm_monoid.{u_3} F
                                                                   (@normed_group.to_add_comm_group.{u_3} F _inst_2))
                                                                (@module.to_semimodule.{u_1 u_3} 𝕜 F
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))
                                                                   (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                                   (@vector_space.to_module.{u_1 u_3} 𝕜 F
                                                                      (@normed_field.to_discrete_field.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))
                                                                      (@normed_group.to_add_comm_group.{u_3} F _inst_2)
                                                                      (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)
                                                                         _inst_2
                                                                         _inst_6))))))
                                                       (@mul_action.to_has_scalar.{u_1 u_4} 𝕜 G
                                                          (@semiring.to_monoid.{u_1} 𝕜
                                                             (@ring.to_semiring.{u_1} 𝕜
                                                                (@normed_ring.to_ring.{u_1} 𝕜
                                                                   (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                      (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                         𝕜
                                                                         _inst_4)))))
                                                          (@distrib_mul_action.to_mul_action.{u_1 u_4} 𝕜 G
                                                             (@semiring.to_monoid.{u_1} 𝕜
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))))
                                                             (@add_comm_monoid.to_add_monoid.{u_4} G
                                                                (@add_comm_group.to_add_comm_monoid.{u_4} G
                                                                   (@normed_group.to_add_comm_group.{u_4} G _inst_3)))
                                                             (@semimodule.to_distrib_mul_action.{u_1 u_4} 𝕜 G
                                                                (@ring.to_semiring.{u_1} 𝕜
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))))
                                                                (@add_comm_group.to_add_comm_monoid.{u_4} G
                                                                   (@normed_group.to_add_comm_group.{u_4} G _inst_3))
                                                                (@module.to_semimodule.{u_1 u_4} 𝕜 G
                                                                   (@normed_ring.to_ring.{u_1} 𝕜
                                                                      (@normed_field.to_normed_ring.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)))
                                                                   (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                                                   (@vector_space.to_module.{u_1 u_4} 𝕜 G
                                                                      (@normed_field.to_discrete_field.{u_1} 𝕜
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4))
                                                                      (@normed_group.to_add_comm_group.{u_4} G _inst_3)
                                                                      (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                                                                         (@nondiscrete_normed_field.to_normed_field.{u_1}
                                                                            𝕜
                                                                            _inst_4)
                                                                         _inst_3
                                                                         _inst_7)))))))))
                                              a₂
                                              p))))
                                  (@eq.{u_4+1} G
                                     (@has_scalar.smul.{u_1 u_4} 𝕜 G
                                        (@mul_action.to_has_scalar.{u_1 u_4} 𝕜 G
                                           (@semiring.to_monoid.{u_1} 𝕜
                                              (@ring.to_semiring.{u_1} 𝕜
                                                 (@normed_ring.to_ring.{u_1} 𝕜
                                                    (@normed_field.to_normed_ring.{u_1} 𝕜
                                                       (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                                          _inst_4)))))
                                           (@distrib_mul_action.to_mul_action.{u_1 u_4} 𝕜 G
                                              (@semiring.to_monoid.{u_1} 𝕜
                                                 (@ring.to_semiring.{u_1} 𝕜
                                                    (@normed_ring.to_ring.{u_1} 𝕜
                                                       (@normed_field.to_normed_ring.{u_1} 𝕜
                                                          (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜
                                             
(message too long, truncated at 262144 characters)
operator_norm.lean:216:3: error
tactic.mk_instance failed to generate instance for
  normed_group.{(max u_2 u_3 u_4)}
    (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
       (@normed_ring.to_ring.{u_1} 𝕜
          (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
       E
       (@uniform_space.to_topological_space.{u_2} E
          (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
       (@normed_group.to_add_comm_group.{u_2} E _inst_1)
       (prod.{u_3 u_4} F G)
       (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
          (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
             (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
                (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
       (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
          (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
       (@vector_space.to_module.{u_1 u_2} 𝕜 E
          (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
          (@normed_group.to_add_comm_group.{u_2} E _inst_1)
          (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
             _inst_1
             _inst_5))
       (@prod.module.{u_1 u_3 u_4} 𝕜 F G
          (@normed_ring.to_ring.{u_1} 𝕜
             (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
          (@normed_group.to_add_comm_group.{u_3} F _inst_2)
          (@normed_group.to_add_comm_group.{u_4} G _inst_3)
          (@vector_space.to_module.{u_1 u_3} 𝕜 F
             (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
             (@normed_group.to_add_comm_group.{u_3} F _inst_2)
             (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                _inst_2
                _inst_6))
          (@vector_space.to_module.{u_1 u_4} 𝕜 G
             (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
             (@normed_group.to_add_comm_group.{u_4} G _inst_3)
             (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                _inst_3
                _inst_7))))
state:
𝕜 : Type u_1,
E : Type u_2,
F : Type u_3,
G : Type u_4,
_inst_1 : normed_group.{u_2} E,
_inst_2 : normed_group.{u_3} F,
_inst_3 : normed_group.{u_4} G,
_inst_4 : nondiscrete_normed_field.{u_1} 𝕜,
_inst_5 : @normed_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_1,
_inst_6 : @normed_space.{u_1 u_3} 𝕜 F (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_2,
_inst_7 : @normed_space.{u_1 u_4} 𝕜 G (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4) _inst_3
⊢ normed_group.{(max u_2 u_3 u_4)}
    (@continuous_linear_map.{u_1 u_2 (max u_3 u_4)} 𝕜
       (@normed_ring.to_ring.{u_1} 𝕜
          (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
       E
       (@uniform_space.to_topological_space.{u_2} E
          (@metric_space.to_uniform_space'.{u_2} E (@normed_group.to_metric_space.{u_2} E _inst_1)))
       (@normed_group.to_add_comm_group.{u_2} E _inst_1)
       (prod.{u_3 u_4} F G)
       (@uniform_space.to_topological_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
          (@metric_space.to_uniform_space'.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
             (@normed_group.to_metric_space.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
                (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))))
       (@normed_group.to_add_comm_group.{(max u_3 u_4)} (prod.{u_3 u_4} F G)
          (@prod.normed_group.{u_3 u_4} F G _inst_2 _inst_3))
       (@vector_space.to_module.{u_1 u_2} 𝕜 E
          (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
          (@normed_group.to_add_comm_group.{u_2} E _inst_1)
          (@normed_space.to_vector_space.{u_1 u_2} 𝕜 E (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
             _inst_1
             _inst_5))
       (@prod.module.{u_1 u_3 u_4} 𝕜 F G
          (@normed_ring.to_ring.{u_1} 𝕜
             (@normed_field.to_normed_ring.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)))
          (@normed_group.to_add_comm_group.{u_3} F _inst_2)
          (@normed_group.to_add_comm_group.{u_4} G _inst_3)
          (@vector_space.to_module.{u_1 u_3} 𝕜 F
             (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
             (@normed_group.to_add_comm_group.{u_3} F _inst_2)
             (@normed_space.to_vector_space.{u_1 u_3} 𝕜 F
                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                _inst_2
                _inst_6))
          (@vector_space.to_module.{u_1 u_4} 𝕜 G
             (@normed_field.to_discrete_field.{u_1} 𝕜 (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4))
             (@normed_group.to_add_comm_group.{u_4} G _inst_3)
             (@normed_space.to_vector_space.{u_1 u_4} 𝕜 G
                (@nondiscrete_normed_field.to_normed_field.{u_1} 𝕜 _inst_4)
                _inst_3
                _inst_7))))