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November 8, 2021 14:39
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| import all | |
| /- Checking 78317 declarations (plus 78402 automatically generated ones) in mathlib -/ | |
| /- The `generalisation_linter` linter reports: -/ | |
| /- typeclass generalisations may be possible -/ | |
| -- algebra/add_torsor.lean | |
| #print vsub_eq_sub /- _inst_1: add_group ↝ has_sub has_vsub | |
| -/ | |
| #print set.has_vsub /- T: add_torsor ↝ has_vsub | |
| -/ | |
| -- algebra/algebra/basic.lean | |
| #print algebra.smul_mul_assoc /- _inst_4: algebra ↝ has_scalar is_scalar_tower mul_action | |
| -/ | |
| #print algebra.bit0_smul_one /- _inst_4: algebra ↝ distrib_mul_action has_scalar module | |
| -/ | |
| #print algebra.bit0_smul_bit0 /- _inst_4: algebra ↝ distrib_mul_action has_scalar module | |
| -/ | |
| #print algebra.bit0_smul_bit1 /- _inst_4: algebra ↝ distrib_mul_action has_scalar module | |
| -/ | |
| #print algebra.bit1_smul_bit1 /- _inst_4: algebra ↝ distrib_mul_action has_scalar module mul_action | |
| -/ | |
| #print algebra.id.smul_eq_mul /- _inst_1: comm_semiring ↝ has_mul | |
| -/ | |
| #print algebra.mem_algebra_map_submonoid_of_mem /- _inst_2: comm_semiring ↝ semiring | |
| -/ | |
| #print algebra.mul_sub_algebra_map_commutes /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print alg_hom.map_inv /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print alg_hom.map_div /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print alg_equiv.map_neg /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print alg_equiv.map_sub /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print ring_hom.map_rat_algebra_map /- _inst_1: ring ↝ semiring | |
| _inst_2: ring ↝ semiring | |
| -/ | |
| #print algebra_compatible_smul /- _inst_5: module ↝ has_scalar mul_action | |
| _inst_6: module ↝ has_scalar | |
| -/ | |
| #print is_scalar_tower.to_smul_comm_class' /- _inst_3: algebra ↝ has_scalar smul_comm_class | |
| _inst_5: module ↝ has_scalar smul_comm_class | |
| _inst_6: module ↝ has_scalar smul_comm_class | |
| _inst_7: is_scalar_tower ↝ smul_comm_class | |
| -/ | |
| #print smul_algebra_smul_comm /- _inst_3: algebra ↝ has_scalar smul_comm_class | |
| _inst_5: module ↝ has_scalar smul_comm_class | |
| _inst_6: module ↝ has_scalar smul_comm_class | |
| _inst_7: is_scalar_tower ↝ smul_comm_class | |
| -/ | |
| #print linear_map.coe_is_scalar_tower /- _inst_3: algebra ↝ has_scalar linear_map.compatible_smul | |
| _inst_7: is_scalar_tower ↝ linear_map.compatible_smul | |
| _inst_11: is_scalar_tower ↝ linear_map.compatible_smul | |
| -/ | |
| #print linear_map.coe_restrict_scalars_eq_coe /- _inst_3: algebra ↝ has_scalar linear_map.compatible_smul | |
| _inst_7: is_scalar_tower ↝ linear_map.compatible_smul | |
| _inst_11: is_scalar_tower ↝ linear_map.compatible_smul | |
| -/ | |
| #print restrict_scalars.module /- _inst_5: module ↝ module no_meet_fake_name | |
| -/ | |
| #print restrict_scalars_smul_def /- _inst_5: module ↝ has_scalar module no_meet_fake_name | |
| -/ | |
| #print restrict_scalars.is_scalar_tower /- _inst_5: module ↝ module module no_meet_fake_name | |
| -/ | |
| #print linear_map.ker_restrict_scalars /- _inst_11: is_scalar_tower ↝ linear_map.compatible_smul | |
| -/ | |
| -- algebra/algebra/operations.lean | |
| #print submodule.mem_span_mul_finite_of_mem_span_mul /- _inst_3: algebra ↝ module | |
| -/ | |
| #print submodule.map_div /- _inst_4: comm_ring ↝ comm_semiring module | |
| -/ | |
| -- algebra/algebra/ordered.lean | |
| #print linear_ordered_comm_ring.to_ordered_module /- _inst_1: linear_ordered_comm_ring ↝ linear_ordered_semiring | |
| -/ | |
| -- algebra/algebra/subalgebra.lean | |
| #print subalgebra.to_submodule.is_subring /- _inst_6: comm_ring ↝ comm_semiring is_subring module no_meet_fake_name | |
| -/ | |
| #print subalgebra.no_zero_divisors /- _inst_6: comm_ring ↝ comm_semiring | |
| -/ | |
| -- algebra/algebra/tower.lean | |
| #print is_scalar_tower.algebra_map_smul /- _inst_5: module ↝ has_scalar | |
| _inst_6: module ↝ has_scalar mul_action | |
| -/ | |
| #print submodule.smul_mem_span_smul_of_mem /- _inst_4: algebra ↝ has_scalar module | |
| -/ | |
| #print algebra.lsmul_injective /- _inst_2: ring ↝ semiring | |
| -/ | |
| -- algebra/archimedean.lean | |
| #print exists_int_gt /- _inst_1: linear_ordered_ring ↝ has_neg linear_ordered_semiring | |
| -/ | |
| #print round /- _inst_1: linear_ordered_field ↝ has_div linear_ordered_ring | |
| -/ | |
| -- algebra/associated.lean | |
| #print prime /- _inst_1: comm_monoid_with_zero ↝ monoid_with_zero | |
| -/ | |
| #print associates.mk_one /- _inst_1: comm_monoid ↝ monoid | |
| -/ | |
| #print associates.rel_associated_iff_map_eq_map /- _inst_1: comm_monoid ↝ monoid | |
| -/ | |
| #print associates.mk_eq_zero /- _inst_1: comm_monoid_with_zero ↝ monoid_with_zero | |
| -/ | |
| #print associates.nontrivial /- _inst_1: comm_monoid_with_zero ↝ monoid_with_zero | |
| -/ | |
| #print associates.exists_non_zero_rep /- _inst_1: comm_monoid_with_zero ↝ monoid_with_zero | |
| -/ | |
| #print associates.dvd_of_mk_le_mk /- _inst_1: comm_monoid_with_zero ↝ comm_monoid | |
| -/ | |
| #print associates.mk_le_mk_of_dvd /- _inst_1: comm_monoid_with_zero ↝ comm_monoid | |
| -/ | |
| #print associates.no_zero_divisors /- _inst_1: comm_cancel_monoid_with_zero ↝ comm_monoid_with_zero no_zero_divisors | |
| -/ | |
| #print associates.irreducible_iff_prime_iff /- _inst_1: comm_cancel_monoid_with_zero ↝ comm_monoid_with_zero | |
| -/ | |
| -- algebra/big_operators/basic.lean | |
| #print finset.prod_inv_distrib /- _inst_1: comm_group ↝ comm_monoid has_inv is_group_hom is_monoid_hom no_meet_fake_name | |
| -/ | |
| #print finset.sum_neg_distrib /- _inst_1: add_comm_group ↝ add_comm_monoid has_neg is_add_group_hom is_add_monoid_hom no_meet_fake_name | |
| -/ | |
| -- algebra/big_operators/finprod.lean | |
| #print one_le_finprod' /- _inst_3: ordered_comm_monoid ↝ comm_monoid covariant_class preorder | |
| -/ | |
| #print finsum_nonneg /- _inst_3: ordered_add_comm_monoid ↝ add_comm_monoid covariant_class preorder | |
| -/ | |
| #print mul_finsum /- _inst_3: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print finsum_mul /- _inst_3: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| -- algebra/big_operators/finsupp.lean | |
| #print finsupp.sum_apply' /- _inst_1: add_comm_monoid ↝ has_zero | |
| -/ | |
| #print finsupp.sum_mul /- _inst_4: non_unital_non_assoc_semiring ↝ has_zero | |
| -/ | |
| #print finsupp.mul_sum /- _inst_4: non_unital_non_assoc_semiring ↝ has_zero | |
| -/ | |
| -- algebra/big_operators/order.lean | |
| #print finset.prod_le_prod'' /- _inst_2: ordered_comm_monoid ↝ comm_monoid covariant_class covariant_class preorder | |
| -/ | |
| #print finset.sum_le_sum /- _inst_2: ordered_add_comm_monoid ↝ add_comm_monoid covariant_class covariant_class preorder | |
| -/ | |
| #print finset.sum_lt_sum /- _inst_1: ordered_cancel_add_comm_monoid ↝ covariant_class ordered_add_comm_monoid | |
| -/ | |
| #print finset.prod_lt_prod' /- _inst_1: ordered_cancel_comm_monoid ↝ covariant_class ordered_comm_monoid | |
| -/ | |
| #print finset.sum_lt_sum_of_subset /- _inst_1: ordered_cancel_add_comm_monoid ↝ covariant_class ordered_add_comm_monoid | |
| -/ | |
| #print finset.prod_lt_prod_of_subset' /- _inst_1: ordered_cancel_comm_monoid ↝ covariant_class ordered_comm_monoid | |
| -/ | |
| #print finset.exists_lt_of_prod_lt' /- _inst_1: linear_ordered_cancel_comm_monoid ↝ canonically_linear_ordered_monoid | |
| -/ | |
| #print finset.exists_lt_of_sum_lt /- _inst_1: linear_ordered_cancel_add_comm_monoid ↝ linear_ordered_add_comm_monoid | |
| -/ | |
| -- algebra/big_operators/pi.lean | |
| #print ring_hom.functions_ext /- _inst_4: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- algebra/big_operators/ring.lean | |
| #print finset.sum_mul /- _inst_1: non_unital_non_assoc_semiring ↝ add_comm_monoid has_mul is_add_monoid_hom no_meet_fake_name | |
| -/ | |
| #print finset.mul_sum /- _inst_1: non_unital_non_assoc_semiring ↝ add_comm_monoid has_mul is_add_monoid_hom no_meet_fake_name | |
| -/ | |
| #print finset.sum_mul_sum /- _inst_1: comm_semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print finset.prod_pow_eq_pow_sum /- _inst_1: comm_semiring ↝ comm_monoid | |
| -/ | |
| -- algebra/category/Algebra/basic.lean | |
| #print Algebra.id_apply /- _inst_1: comm_ring ↝ module no_meet_fake_name ring | |
| -/ | |
| #print Algebra.coe_comp /- _inst_1: comm_ring ↝ module no_meet_fake_name ring | |
| -/ | |
| -- algebra/category/CommRing/basic.lean | |
| #print SemiRing.assoc_ring_hom /- _inst_1: semiring ↝ non_assoc_semiring | |
| _inst_2: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- algebra/category/Mon/basic.lean | |
| #print Mon.assoc_monoid_hom /- _inst_1: monoid ↝ mul_one_class | |
| _inst_2: monoid ↝ mul_one_class | |
| -/ | |
| #print AddMon.assoc_add_monoid_hom /- _inst_1: add_monoid ↝ add_zero_class | |
| _inst_2: add_monoid ↝ add_zero_class | |
| -/ | |
| -- algebra/char_p/algebra.lean | |
| #print is_fraction_ring.char_p_of_is_fraction_ring /- _inst_1: integral_domain ↝ comm_ring | |
| _inst_2: field ↝ comm_ring | |
| -/ | |
| #print is_fraction_ring.char_zero_of_is_fraction_ring /- _inst_5: char_zero ↝ char_p | |
| -/ | |
| -- algebra/char_p/basic.lean | |
| #print ring_char.eq_zero /- _inst_2: char_zero ↝ char_p | |
| -/ | |
| #print ring_hom.char_p_iff_char_p /- _inst_1: field ↝ division_ring | |
| _inst_2: field ↝ domain | |
| -/ | |
| #print char_p.cast_eq_mod /- _inst_1: ring ↝ non_assoc_semiring | |
| -/ | |
| #print char_p.false_of_nontrivial_of_char_one /- _inst_3: char_p ↝ subsingleton | |
| -/ | |
| #print char_p_of_ne_zero /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| #print char_p_of_prime_pow_injective /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| -- algebra/char_p/exp_char.lean | |
| #print char_prime_of_ne_zero /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- algebra/char_p/invertible.lean | |
| #print not_ring_char_dvd_of_invertible /- _inst_1: field ↝ division_ring | |
| -/ | |
| -- algebra/char_p/pi.lean | |
| #print char_p.pi' /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| -- algebra/char_p/subring.lean | |
| #print char_p.subsemiring /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print char_p.subring' /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| -- algebra/char_zero.lean | |
| #print ring_hom.char_zero /- _inst_1: semiring ↝ non_assoc_semiring | |
| _inst_2: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- algebra/continued_fractions/basic.lean | |
| #print generalized_continued_fraction.pair.has_coe_to_generalized_continued_fraction_pair /- _inst_1: has_coe ↝ has_lift_t | |
| -/ | |
| #print generalized_continued_fraction.next_numerator /- _inst_1: division_ring ↝ has_add has_mul | |
| -/ | |
| #print generalized_continued_fraction.next_denominator /- _inst_1: division_ring ↝ has_add has_mul | |
| -/ | |
| -- algebra/continued_fractions/computation/basic.lean | |
| #print generalized_continued_fraction.int_fract_pair.has_coe_to_int_fract_pair /- _inst_1: has_coe ↝ has_lift_t | |
| -/ | |
| #print generalized_continued_fraction.int_fract_pair.of /- _inst_1: linear_ordered_field ↝ linear_ordered_ring | |
| -/ | |
| -- algebra/continued_fractions/computation/correctness_terminating.lean | |
| #print generalized_continued_fraction.comp_exact_value /- _inst_1: linear_ordered_field ↝ division_ring linear_order | |
| -/ | |
| -- algebra/covariant_and_contravariant.lean | |
| #print covariant_flip_add_iff /- _inst_1: add_comm_semigroup ↝ has_add is_commutative | |
| -/ | |
| #print covariant_flip_mul_iff /- _inst_1: comm_semigroup ↝ has_mul is_commutative | |
| -/ | |
| #print contravariant_flip_add_iff /- _inst_1: add_comm_semigroup ↝ has_add is_commutative | |
| -/ | |
| #print contravariant_flip_mul_iff /- _inst_1: comm_semigroup ↝ has_mul is_commutative | |
| -/ | |
| -- algebra/direct_limit.lean | |
| #print module.direct_limit /- _inst_2: directed_order ↝ has_le | |
| -/ | |
| #print module.direct_limit.totalize /- _inst_1: ring ↝ semiring | |
| _inst_2: directed_order ↝ has_le | |
| -/ | |
| #print ring.direct_limit /- _inst_2: directed_order ↝ has_le | |
| -/ | |
| -- algebra/direct_sum.lean | |
| #print direct_sum.add_hom_ext /- _inst_2: add_monoid ↝ add_zero_class | |
| -/ | |
| #print direct_sum.from_add_monoid /- _inst_2: add_comm_monoid ↝ add_zero_class | |
| -/ | |
| -- algebra/direct_sum_graded.lean | |
| #print direct_sum.ghas_one.of_add_submonoids /- _inst_2: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print direct_sum.ghas_one.of_submodules /- _inst_4: algebra ↝ module | |
| -/ | |
| #print direct_sum.ghas_mul.of_submodules /- _inst_4: algebra ↝ module | |
| -/ | |
| #print direct_sum.gmonoid.of_submodules /- _inst_4: algebra ↝ module | |
| -/ | |
| #print direct_sum.gcomm_monoid.of_submodules /- _inst_4: algebra ↝ module | |
| -/ | |
| #print direct_sum.ring_hom_ext' /- _inst_5: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- algebra/divisibility.lean | |
| #print monoid_has_dvd /- _inst_1: monoid ↝ has_mul | |
| -/ | |
| #print dvd.intro /- _inst_1: monoid ↝ has_dvd has_mul | |
| -/ | |
| #print exists_eq_mul_right_of_dvd /- _inst_1: monoid ↝ has_dvd has_mul | |
| -/ | |
| #print dvd.elim /- _inst_1: monoid ↝ has_dvd has_mul | |
| -/ | |
| #print dvd_trans /- _inst_1: monoid ↝ has_dvd semigroup | |
| -/ | |
| #print dvd_not_unit /- _inst_1: comm_monoid_with_zero ↝ monoid_with_zero | |
| -/ | |
| -- algebra/field.lean | |
| #print inverse_eq_has_inv /- _inst_1: division_ring ↝ group_with_zero | |
| -/ | |
| -- algebra/field_power.lean | |
| #print fpow_eq_zero_iff /- _inst_1: linear_ordered_field ↝ group_with_zero | |
| -/ | |
| #print fpow_two_nonneg /- _inst_1: linear_ordered_field ↝ linear_ordered_ring | |
| -/ | |
| #print fpow_two_pos_of_ne_zero /- _inst_1: linear_ordered_field ↝ linear_ordered_ring | |
| -/ | |
| #print fpow_even_abs /- _inst_1: linear_ordered_field ↝ division_ring linear_order | |
| -/ | |
| #print rat.cast_fpow /- _inst_1: field ↝ division_ring | |
| -/ | |
| -- algebra/free.lean | |
| #print free_semigroup.traverse /- _inst_1: applicative ↝ functor has_seq no_meet_fake_name | |
| -/ | |
| #print free_add_semigroup.traverse /- _inst_1: applicative ↝ functor has_seq no_meet_fake_name | |
| -/ | |
| -- algebra/free_monoid.lean | |
| #print free_add_monoid.hom_eq /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print free_monoid.hom_eq /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| -- algebra/free_non_unital_non_assoc_algebra.lean | |
| #print free_non_unital_non_assoc_algebra.smul_comm_class /- _inst_2: comm_semiring ↝ distrib_mul_action module no_meet_fake_name semiring smul_comm_class | |
| -/ | |
| -- algebra/gcd_monoid.lean | |
| #print units_eq_one /- _inst_1: comm_cancel_monoid_with_zero ↝ monoid | |
| -/ | |
| #print norm_unit_eq_one /- _inst_2: unique ↝ normalization_monoid | |
| -/ | |
| #print normalize_eq /- _inst_2: unique ↝ normalization_monoid | |
| -/ | |
| -- algebra/gcd_monoid/finset.lean | |
| #print finset.gcd_eq_of_dvd_sub /- _inst_1: nontrivial ↝ nonempty | |
| -/ | |
| -- algebra/geom_sum.lean | |
| #print geom_sum /- _inst_1: semiring ↝ add_comm_monoid has_pow | |
| -/ | |
| #print op_geom_sum /- _inst_1: ring ↝ semiring | |
| -/ | |
| #print geom_sum₂ /- _inst_1: semiring ↝ add_comm_monoid has_mul has_pow | |
| -/ | |
| #print op_geom_sum₂ /- _inst_1: ring ↝ semiring | |
| -/ | |
| #print geom_sum₂_self /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| -- algebra/group/basic.lean | |
| #print comp_mul_left /- _inst_1: semigroup ↝ has_mul is_associative | |
| -/ | |
| #print comp_add_left /- _inst_1: add_semigroup ↝ has_add is_associative | |
| -/ | |
| #print comp_mul_right /- _inst_1: semigroup ↝ has_mul is_associative | |
| -/ | |
| #print comp_add_right /- _inst_1: add_semigroup ↝ has_add is_associative | |
| -/ | |
| #print bit0_zero /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print add_sub_assoc /- _inst_1: add_group ↝ sub_neg_monoid | |
| -/ | |
| -- algebra/group/conj.lean | |
| #print is_conj_one_right /- _inst_1: group ↝ right_cancel_monoid | |
| -/ | |
| -- algebra/group/defs.lean | |
| #print group.to_monoid /- _inst_1: group ↝ monoid | |
| -/ | |
| #print add_group.to_add_monoid /- _inst_1: add_group ↝ add_monoid | |
| -/ | |
| -- algebra/group/hom.lean | |
| #print monoid_with_zero_hom.to_monoid_hom_injective /- _inst_1: monoid_with_zero ↝ mul_zero_one_class | |
| _inst_2: monoid_with_zero ↝ mul_zero_one_class | |
| -/ | |
| #print monoid_with_zero_hom.to_zero_hom_injective /- _inst_1: monoid_with_zero ↝ mul_zero_one_class | |
| _inst_2: monoid_with_zero ↝ mul_zero_one_class | |
| -/ | |
| #print monoid_hom.mul_comp /- _inst_4: comm_monoid ↝ mul_one_class | |
| -/ | |
| #print add_monoid_hom.add_comp /- _inst_4: add_comm_monoid ↝ add_zero_class | |
| -/ | |
| -- algebra/group/hom_instances.lean | |
| #print monoid_hom.compl₂ /- _inst_4: comm_monoid ↝ mul_one_class | |
| -/ | |
| #print add_monoid_hom.compl₂ /- _inst_4: add_comm_monoid ↝ add_zero_class | |
| -/ | |
| -- algebra/group/prod.lean | |
| #print prod.fst_sub /- _inst_1: add_group ↝ has_sub | |
| _inst_2: add_group ↝ has_sub | |
| -/ | |
| #print prod.snd_sub /- _inst_1: add_group ↝ has_sub | |
| _inst_2: add_group ↝ has_sub | |
| -/ | |
| #print prod.mk_sub_mk /- _inst_1: add_group ↝ has_sub | |
| _inst_2: add_group ↝ has_sub | |
| -/ | |
| -- algebra/group/semiconj.lean | |
| #print add_semiconj_by.add_right /- _inst_1: add_semigroup ↝ has_add is_associative | |
| -/ | |
| #print semiconj_by.mul_right /- _inst_1: semigroup ↝ has_mul is_associative | |
| -/ | |
| -- algebra/group_power/basic.lean | |
| #print pow_ite /- _inst_1: monoid ↝ has_pow | |
| -/ | |
| #print ite_pow /- _inst_1: monoid ↝ has_pow | |
| -/ | |
| #print dvd_pow /- _inst_1: comm_monoid ↝ monoid | |
| -/ | |
| #print eq_or_eq_neg_of_sq_eq_sq /- _inst_1: integral_domain ↝ comm_ring no_zero_divisors | |
| -/ | |
| #print of_add_gsmul /- _inst_1: add_group ↝ sub_neg_monoid | |
| -/ | |
| #print of_mul_gpow /- _inst_1: group ↝ div_inv_monoid | |
| -/ | |
| -- algebra/group_power/lemmas.lean | |
| #print gsmul_le_gsmul_iff /- _inst_1: linear_ordered_add_comm_group ↝ ordered_add_comm_group | |
| -/ | |
| #print gsmul_lt_gsmul_iff /- _inst_1: linear_ordered_add_comm_group ↝ ordered_add_comm_group | |
| -/ | |
| #print nsmul_le_nsmul_iff /- _inst_1: linear_ordered_add_comm_group ↝ ordered_cancel_add_comm_monoid | |
| -/ | |
| #print nsmul_lt_nsmul_iff /- _inst_1: linear_ordered_add_comm_group ↝ ordered_cancel_add_comm_monoid | |
| -/ | |
| #print nsmul_eq_mul' /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- algebra/group_power/order.lean | |
| #print nsmul_pos /- _inst_1: ordered_add_comm_monoid ↝ add_monoid covariant_class preorder | |
| -/ | |
| #print nsmul_lt_nsmul /- _inst_1: ordered_cancel_add_comm_monoid ↝ covariant_class ordered_add_comm_monoid | |
| -/ | |
| #print eq_of_sq_eq_sq /- _inst_1: linear_ordered_comm_ring ↝ covariant_class integral_domain partial_order | |
| -/ | |
| -- algebra/group_ring_action.lean | |
| #print smul_inv' /- _inst_6: field ↝ division_ring | |
| -/ | |
| -- algebra/group_with_zero/basic.lean | |
| #print div_div_eq_mul_div /- _inst_1: comm_group_with_zero ↝ group_with_zero | |
| -/ | |
| #print ne_zero_of_one_div_ne_zero /- _inst_1: comm_group_with_zero ↝ group_with_zero | |
| -/ | |
| #print eq_zero_of_one_div_eq_zero /- _inst_1: comm_group_with_zero ↝ group_with_zero | |
| -/ | |
| #print div_mul_div_cancel /- _inst_1: comm_group_with_zero ↝ group_with_zero | |
| -/ | |
| #print div_eq_iff /- _inst_1: comm_group_with_zero ↝ group_with_zero | |
| -/ | |
| #print eq_div_iff /- _inst_1: comm_group_with_zero ↝ group_with_zero | |
| -/ | |
| -- algebra/homology/additive.lean | |
| #print homological_complex.cycles_additive /- _inst_4: category_theory.limits.has_equalizers ↝ category_theory.limits.has_kernels | |
| -/ | |
| -- algebra/homology/exact.lean | |
| #print category_theory.comp_eq_zero_of_image_eq_kernel /- _inst_2: category_theory.limits.has_images ↝ category_theory.limits.has_image no_meet_fake_name | |
| -/ | |
| #print category_theory.exact_comp_inv_hom_comp /- _inst_4: category_theory.limits.has_equalizers ↝ category_theory.exact category_theory.limits.has_kernels no_meet_fake_name | |
| _inst_5: category_theory.exact ↝ category_theory.exact no_meet_fake_name | |
| -/ | |
| #print category_theory.exact_epi_comp /- _inst_4: category_theory.limits.has_equalizers ↝ category_theory.epi category_theory.epi category_theory.limits.has_kernels no_meet_fake_name | |
| _inst_6: category_theory.epi ↝ category_theory.epi no_meet_fake_name | |
| -/ | |
| #print category_theory.exact_comp_mono /- _inst_4: category_theory.limits.has_equalizers ↝ category_theory.epi category_theory.limits.has_kernels | |
| -/ | |
| #print category_theory.exact_kernel_subobject_arrow /- _inst_4: category_theory.limits.has_equalizers ↝ category_theory.limits.has_kernels | |
| -/ | |
| #print category_theory.limits.factor_thru_kernel_subobject.epi /- _inst_4: category_theory.limits.has_equalizers ↝ category_theory.epi category_theory.epi category_theory.limits.has_kernels no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.kernel.lift.epi /- _inst_4: category_theory.limits.has_equalizers ↝ category_theory.epi category_theory.limits.has_kernels | |
| -/ | |
| #print category_theory.exact_zero_left_of_mono /- _inst_4: category_theory.limits.has_equalizers ↝ category_theory.epi category_theory.limits.has_kernels no_meet_fake_name | |
| _inst_5: category_theory.limits.has_zero_object ↝ category_theory.epi no_meet_fake_name | |
| _inst_6: category_theory.mono ↝ category_theory.epi no_meet_fake_name | |
| -/ | |
| #print category_theory.epi_iff_exact_zero_right /- _inst_4: category_theory.preadditive ↝ category_theory.epi category_theory.exact category_theory.limits.has_kernels category_theory.limits.has_zero_morphisms no_meet_fake_name | |
| -/ | |
| -- algebra/homology/homological_complex.lean | |
| #print homological_complex.image_eq_image /- _inst_3: category_theory.limits.has_images ↝ category_theory.limits.has_image no_meet_fake_name | |
| -/ | |
| #print homological_complex.image_to_eq_image /- _inst_4: category_theory.limits.has_images ↝ category_theory.limits.has_image no_meet_fake_name | |
| -/ | |
| -- algebra/homology/homology.lean | |
| #print boundaries_to_cycles_naturality /- _inst_4: category_theory.limits.has_equalizers ↝ category_theory.limits.has_kernels | |
| -/ | |
| -- algebra/homology/image_to_kernel.lean | |
| #print image_to_kernel_zero_right /- _inst_3: category_theory.limits.has_images ↝ category_theory.limits.has_image no_meet_fake_name | |
| -/ | |
| #print image_to_kernel_comp_right /- _inst_4: category_theory.limits.has_images ↝ category_theory.limits.has_image no_meet_fake_name | |
| -/ | |
| #print image_to_kernel_comp_left /- _inst_4: category_theory.limits.has_images ↝ category_theory.limits.has_image no_meet_fake_name | |
| -/ | |
| #print image_to_kernel_comp_mono /- _inst_4: category_theory.limits.has_images ↝ category_theory.limits.has_image no_meet_fake_name | |
| -/ | |
| #print image_to_kernel_epi_comp /- _inst_4: category_theory.limits.has_images ↝ category_theory.limits.has_image no_meet_fake_name | |
| -/ | |
| #print image_to_kernel_comp_hom_inv_comp /- _inst_4: category_theory.limits.has_images ↝ category_theory.limits.has_image no_meet_fake_name | |
| -/ | |
| -- algebra/homology/quasi_iso.lean | |
| #print quasi_iso_comp /- _inst_8: quasi_iso ↝ category_theory.is_iso no_meet_fake_name | |
| _inst_9: quasi_iso ↝ category_theory.is_iso no_meet_fake_name | |
| -/ | |
| -- algebra/indicator_function.lean | |
| #print set.indicator_prod_one /- _inst_1: monoid_with_zero ↝ mul_zero_one_class | |
| -/ | |
| #print set.mul_indicator_apply_le' /- _inst_2: preorder ↝ has_le | |
| -/ | |
| #print set.indicator_apply_le' /- _inst_2: preorder ↝ has_le | |
| -/ | |
| #print monoid_hom.map_mul_indicator /- _inst_1: monoid ↝ mul_one_class | |
| _inst_2: monoid ↝ mul_one_class | |
| -/ | |
| #print add_monoid_hom.map_indicator /- _inst_1: add_monoid ↝ add_zero_class | |
| _inst_2: add_monoid ↝ add_zero_class | |
| -/ | |
| -- algebra/invertible.lean | |
| #print nonzero_of_invertible /- _inst_1: group_with_zero ↝ domain | |
| -/ | |
| -- algebra/iterate_hom.lean | |
| #print monoid_hom.coe_pow /- _inst_5: comm_monoid ↝ mul_one_class | |
| -/ | |
| #print ring_hom.coe_pow /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print ring_hom.iterate_map_one /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print ring_hom.iterate_map_zero /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print ring_hom.iterate_map_add /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print ring_hom.iterate_map_mul /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print ring_hom.iterate_map_smul /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- algebra/lie/basic.lean | |
| #print lie_hom.lie_apply /- _inst_7: lie_module ↝ lie_ring_module | |
| _inst_11: lie_module ↝ lie_ring_module | |
| -/ | |
| -- algebra/lie/cartan_subalgebra.lean | |
| #print lie_algebra.top_is_cartan_subalgebra_of_nilpotent /- _inst_4: lie_algebra.is_nilpotent ↝ lie_algebra.is_nilpotent | |
| -/ | |
| -- algebra/lie/classical.lean | |
| #print lie_algebra.special_linear.E /- _inst_9: comm_ring ↝ mul_zero_one_class | |
| -/ | |
| #print lie_algebra.symplectic.J /- _inst_9: comm_ring ↝ has_neg mul_zero_one_class | |
| -/ | |
| #print lie_algebra.orthogonal.indefinite_diagonal /- _inst_9: comm_ring ↝ has_neg mul_zero_one_class | |
| -/ | |
| #print lie_algebra.orthogonal.Pso /- _inst_9: comm_ring ↝ mul_zero_one_class | |
| -/ | |
| #print lie_algebra.orthogonal.JD /- _inst_9: comm_ring ↝ mul_zero_one_class | |
| -/ | |
| #print lie_algebra.orthogonal.PD /- _inst_9: comm_ring ↝ has_neg mul_zero_one_class | |
| -/ | |
| -- algebra/lie/free.lean | |
| #print free_lie_algebra.lift_aux /- _inst_3: lie_algebra ↝ is_scalar_tower module no_meet_fake_name smul_comm_class | |
| -/ | |
| -- algebra/lie/of_associative.lean | |
| #print ring.has_bracket /- _inst_1: ring ↝ has_mul has_sub | |
| -/ | |
| #print ring.lie_def /- _inst_1: ring ↝ has_bracket has_mul has_sub | |
| -/ | |
| #print lie_ring.of_associative_ring_bracket /- _inst_1: ring ↝ has_bracket has_mul has_sub | |
| -/ | |
| -- algebra/lie/solvable.lean | |
| #print lie_algebra.lie_ideal.solvable_iff_le_radical /- _inst_6: is_noetherian ↝ lie_algebra.is_solvable no_meet_fake_name | |
| -/ | |
| -- algebra/lie/weights.lean | |
| #print lie_module.is_weight /- _inst_8: lie_module ↝ lie_module no_meet_fake_name | |
| -/ | |
| -- algebra/linear_ordered_comm_group_with_zero.lean | |
| #print one_le_pow_of_one_le' /- _inst_1: linear_ordered_comm_monoid_with_zero ↝ covariant_class monoid preorder | |
| -/ | |
| #print pow_le_one_of_le_one /- _inst_1: linear_ordered_comm_monoid_with_zero ↝ covariant_class monoid preorder | |
| -/ | |
| #print le_of_le_mul_right /- _inst_1: linear_ordered_comm_group_with_zero ↝ covariant_class group_with_zero has_le | |
| -/ | |
| #print monoid_hom.map_neg_one /- _inst_1: linear_ordered_comm_group_with_zero ↝ linear_ordered_comm_monoid_with_zero | |
| -/ | |
| -- algebra/module/basic.lean | |
| #print module.eq_zero_of_zero_eq_one /- _inst_3: module ↝ has_scalar mul_action no_meet_fake_name smul_with_zero | |
| -/ | |
| #print module.subsingleton /- _inst_4: module ↝ has_scalar mul_action no_meet_fake_name smul_with_zero | |
| -/ | |
| #print add_comm_monoid.nat_smul_comm_class /- _inst_3: module ↝ distrib_mul_action has_scalar | |
| -/ | |
| #print add_comm_group.int_smul_comm_class /- _inst_4: module ↝ distrib_mul_action has_scalar | |
| -/ | |
| #print add_monoid_hom.map_nat_module_smul /- _inst_1: add_comm_monoid ↝ add_monoid | |
| _inst_2: add_comm_monoid ↝ add_monoid | |
| -/ | |
| #print add_monoid_hom.map_int_module_smul /- _inst_1: add_comm_group ↝ add_group | |
| _inst_2: add_comm_group ↝ add_group | |
| -/ | |
| #print no_zero_smul_divisors.of_no_zero_divisors /- _inst_1: semiring ↝ has_mul has_zero | |
| -/ | |
| #print smul_eq_zero /- _inst_3: module ↝ distrib_mul_action has_scalar no_meet_fake_name smul_with_zero | |
| -/ | |
| #print ne_neg_of_ne_zero /- _inst_6: no_zero_divisors ↝ no_zero_smul_divisors | |
| -/ | |
| #print no_zero_smul_divisors.of_division_ring /- _inst_2: add_comm_group ↝ add_comm_monoid distrib_mul_action has_scalar | |
| _inst_3: module ↝ distrib_mul_action has_scalar | |
| -/ | |
| -- algebra/module/hom.lean | |
| #print add_monoid_hom.coe_smul /- _inst_3: add_monoid ↝ add_zero_class distrib_mul_action | |
| _inst_5: distrib_mul_action ↝ distrib_mul_action has_scalar | |
| -/ | |
| #print add_monoid_hom.smul_apply /- _inst_3: add_monoid ↝ add_zero_class distrib_mul_action | |
| _inst_5: distrib_mul_action ↝ distrib_mul_action has_scalar | |
| -/ | |
| #print add_monoid_hom.smul_comm_class /- _inst_3: add_monoid ↝ add_zero_class distrib_mul_action | |
| _inst_5: distrib_mul_action ↝ distrib_mul_action has_scalar | |
| _inst_6: distrib_mul_action ↝ distrib_mul_action has_scalar | |
| -/ | |
| #print add_monoid_hom.is_scalar_tower /- _inst_3: add_monoid ↝ add_zero_class distrib_mul_action | |
| _inst_5: distrib_mul_action ↝ distrib_mul_action has_scalar | |
| _inst_6: distrib_mul_action ↝ distrib_mul_action has_scalar | |
| -/ | |
| -- algebra/module/ordered.lean | |
| #print smul_le_smul_iff_of_pos /- _inst_2: ordered_add_comm_group ↝ has_scalar mul_action ordered_add_comm_monoid | |
| -/ | |
| #print smul_lt_iff_of_pos /- _inst_2: ordered_add_comm_group ↝ has_scalar mul_action ordered_add_comm_monoid | |
| -/ | |
| #print pi.ordered_module' /- _inst_1: linear_ordered_field ↝ no_meet_fake_name ordered_module ordered_semiring | |
| -/ | |
| #print order_dual.has_scalar /- _inst_2: ordered_add_comm_monoid ↝ add_comm_monoid has_scalar | |
| _inst_3: module ↝ has_scalar | |
| -/ | |
| -- algebra/module/projective.lean | |
| #print module.projective_lifting_property /- _inst_4: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_6: add_comm_group ↝ add_comm_monoid has_scalar | |
| -/ | |
| #print module.projective_of_basis /- _inst_1: ring ↝ distrib_mul_action has_scalar module no_meet_fake_name semiring smul_comm_class | |
| _inst_2: add_comm_group ↝ add_comm_monoid has_scalar | |
| -/ | |
| -- algebra/module/submodule.lean | |
| #print submodule.smul_of_tower_mem /- _inst_5: module ↝ has_scalar mul_action | |
| -/ | |
| #print submodule.smul_mem_iff' /- _inst_5: module ↝ has_scalar mul_action | |
| -/ | |
| #print submodule.coe_smul_of_tower /- _inst_5: module ↝ has_scalar has_scalar no_meet_fake_name | |
| _inst_6: is_scalar_tower ↝ has_scalar no_meet_fake_name | |
| -/ | |
| #print submodule.is_scalar_tower /- _inst_5: module ↝ has_scalar has_scalar is_scalar_tower no_meet_fake_name | |
| _inst_6: is_scalar_tower ↝ has_scalar is_scalar_tower no_meet_fake_name | |
| -/ | |
| #print submodule.smul_mem_iff /- _inst_6: module ↝ has_scalar mul_action | |
| -/ | |
| #print subspace /- _inst_1: field ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| -- algebra/monoid_algebra.lean | |
| #print monoid_algebra /- _inst_1: semiring ↝ has_zero | |
| -/ | |
| #print monoid_algebra.lift_nc /- _inst_3: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print monoid_algebra.has_scalar /- _inst_3: distrib_mul_action ↝ has_scalar | |
| -/ | |
| #print monoid_algebra.distrib_mul_action /- _inst_3: distrib_mul_action ↝ distrib_mul_action no_meet_fake_name | |
| -/ | |
| #print monoid_algebra.module /- _inst_3: module ↝ module no_meet_fake_name | |
| -/ | |
| #print monoid_algebra.is_scalar_tower /- _inst_4: distrib_mul_action ↝ has_scalar has_scalar is_scalar_tower no_meet_fake_name | |
| _inst_5: distrib_mul_action ↝ has_scalar has_scalar is_scalar_tower no_meet_fake_name | |
| _inst_7: is_scalar_tower ↝ is_scalar_tower no_meet_fake_name | |
| -/ | |
| #print monoid_algebra.smul_comm_class /- _inst_4: distrib_mul_action ↝ has_scalar has_scalar no_meet_fake_name smul_comm_class | |
| _inst_5: distrib_mul_action ↝ has_scalar has_scalar no_meet_fake_name smul_comm_class | |
| _inst_6: smul_comm_class ↝ no_meet_fake_name smul_comm_class | |
| -/ | |
| #print monoid_algebra.is_scalar_tower_self /- _inst_1: semiring ↝ has_scalar has_scalar monoid | |
| -/ | |
| #print monoid_algebra.smul_comm_class_self /- _inst_1: semiring ↝ has_scalar has_scalar monoid | |
| -/ | |
| #print monoid_algebra.smul_comm_class_symm_self /- _inst_1: semiring ↝ has_scalar monoid smul_comm_class | |
| _inst_3: distrib_mul_action ↝ has_scalar has_scalar smul_comm_class | |
| -/ | |
| #print monoid_algebra.ring_hom_ext /- _inst_2: monoid ↝ mul_one_class | |
| _inst_3: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print monoid_algebra.induction_on /- _inst_2: monoid ↝ mul_one_class | |
| -/ | |
| #print add_monoid_algebra /- _inst_1: semiring ↝ has_zero | |
| -/ | |
| #print add_monoid_algebra.lift_nc /- _inst_3: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print add_monoid_algebra.has_scalar /- _inst_3: distrib_mul_action ↝ has_scalar | |
| -/ | |
| #print add_monoid_algebra.distrib_mul_action /- _inst_3: distrib_mul_action ↝ distrib_mul_action no_meet_fake_name | |
| -/ | |
| #print add_monoid_algebra.module /- _inst_3: module ↝ module no_meet_fake_name | |
| -/ | |
| #print add_monoid_algebra.is_scalar_tower /- _inst_4: distrib_mul_action ↝ has_scalar has_scalar is_scalar_tower no_meet_fake_name | |
| _inst_5: distrib_mul_action ↝ has_scalar has_scalar is_scalar_tower no_meet_fake_name | |
| _inst_7: is_scalar_tower ↝ is_scalar_tower no_meet_fake_name | |
| -/ | |
| #print add_monoid_algebra.smul_comm_class /- _inst_4: distrib_mul_action ↝ has_scalar has_scalar no_meet_fake_name smul_comm_class | |
| _inst_5: distrib_mul_action ↝ has_scalar has_scalar no_meet_fake_name smul_comm_class | |
| _inst_6: smul_comm_class ↝ no_meet_fake_name smul_comm_class | |
| -/ | |
| #print add_monoid_algebra.induction_on /- _inst_2: add_monoid ↝ add_zero_class | |
| -/ | |
| -- algebra/opposites.lean | |
| #print opposite.op_sub /- _inst_1: add_group ↝ has_sub | |
| -/ | |
| #print opposite.unop_sub /- _inst_1: add_group ↝ has_sub | |
| -/ | |
| -- algebra/order.lean | |
| #print ge_iff_le /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print gt_iff_lt /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| #print decidable.ne_iff_lt_iff_le /- _inst_2: decidable_rel ↝ decidable_eq | |
| -/ | |
| -- algebra/ordered_field.lean | |
| #print mul_sub_mul_div_mul_neg_iff /- _inst_1: linear_ordered_field ↝ covariant_class field has_lt | |
| -/ | |
| #print mul_sub_mul_div_mul_nonpos_iff /- _inst_1: linear_ordered_field ↝ covariant_class field has_le | |
| -/ | |
| #print mul_self_inj_of_nonneg /- _inst_1: linear_ordered_field ↝ covariant_class integral_domain partial_order | |
| -/ | |
| -- algebra/ordered_group.lean | |
| #print sub_le_sub_iff_right /- _inst_1: add_group ↝ contravariant_class sub_neg_monoid | |
| -/ | |
| #print div_le_div_iff_right /- _inst_1: group ↝ contravariant_class div_inv_monoid | |
| -/ | |
| #print le_div_iff_mul_le' /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print le_sub_iff_add_le' /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print div_le_iff_le_mul' /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print sub_le_iff_le_add' /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print div_lt_div_iff_right /- _inst_1: group ↝ contravariant_class div_inv_monoid | |
| -/ | |
| #print sub_lt_sub_iff_right /- _inst_1: add_group ↝ contravariant_class sub_neg_monoid | |
| -/ | |
| #print lt_sub_iff_add_lt' /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print lt_div_iff_mul_lt' /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print sub_lt_iff_lt_add' /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print div_lt_iff_lt_mul' /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print le_of_forall_pos_lt_add /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print le_of_forall_one_lt_lt_mul /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print le_of_forall_pos_le_add /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print le_of_forall_one_lt_le_mul /- _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print linear_ordered_add_comm_group.add_lt_add_left /- _inst_1: linear_ordered_add_comm_group ↝ covariant_class has_add has_lt | |
| -/ | |
| #print linear_ordered_comm_group.mul_lt_mul_left' /- _inst_1: linear_ordered_comm_group ↝ covariant_class has_lt has_mul | |
| -/ | |
| #print min_inv_inv' /- _inst_1: linear_ordered_comm_group ↝ covariant_class covariant_class group linear_order | |
| -/ | |
| #print min_neg_neg /- _inst_1: linear_ordered_add_comm_group ↝ add_group covariant_class covariant_class linear_order | |
| -/ | |
| #print max_neg_neg /- _inst_1: linear_ordered_add_comm_group ↝ add_group covariant_class covariant_class linear_order | |
| -/ | |
| #print max_inv_inv' /- _inst_1: linear_ordered_comm_group ↝ covariant_class covariant_class group linear_order | |
| -/ | |
| #print min_sub_sub_right /- _inst_1: linear_ordered_add_comm_group ↝ add_comm_group covariant_class linear_order | |
| -/ | |
| #print min_div_div_right' /- _inst_1: linear_ordered_comm_group ↝ comm_group covariant_class linear_order | |
| -/ | |
| #print max_sub_sub_right /- _inst_1: linear_ordered_add_comm_group ↝ add_comm_group covariant_class linear_order | |
| -/ | |
| #print max_div_div_right' /- _inst_1: linear_ordered_comm_group ↝ comm_group covariant_class linear_order | |
| -/ | |
| #print eq_one_of_inv_eq' /- _inst_1: linear_ordered_comm_group ↝ covariant_class group linear_order | |
| -/ | |
| #print eq_zero_of_neg_eq /- _inst_1: linear_ordered_add_comm_group ↝ add_group covariant_class linear_order | |
| -/ | |
| #print exists_zero_lt /- _inst_1: linear_ordered_add_comm_group ↝ add_group covariant_class linear_order | |
| -/ | |
| #print exists_one_lt' /- _inst_1: linear_ordered_comm_group ↝ covariant_class group linear_order | |
| -/ | |
| #print abs_lt /- _inst_3: covariant_class ↝ covariant_class | |
| _inst_4: covariant_class ↝ covariant_class | |
| -/ | |
| #print abs_le /- _inst_1: add_comm_group ↝ add_group covariant_class | |
| -/ | |
| #print abs_eq /- _inst_1: add_comm_group ↝ add_group | |
| -/ | |
| #print abs_le_max_abs_abs /- _inst_1: add_comm_group ↝ add_group covariant_class | |
| -/ | |
| #print eq_of_abs_sub_eq_zero /- _inst_1: add_comm_group ↝ add_group | |
| -/ | |
| #print inv_le_inv' /- _inst_1: ordered_comm_group ↝ covariant_class covariant_class group has_le | |
| -/ | |
| #print neg_le_neg /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class has_le | |
| -/ | |
| #print inv_lt_inv' /- _inst_1: ordered_comm_group ↝ covariant_class covariant_class group has_lt | |
| -/ | |
| #print neg_lt_neg /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class has_lt | |
| -/ | |
| #print neg_neg_of_pos /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class has_lt | |
| -/ | |
| #print inv_lt_one_of_one_lt /- _inst_1: ordered_comm_group ↝ covariant_class group has_lt | |
| -/ | |
| #print neg_nonpos_of_nonneg /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class has_le | |
| -/ | |
| #print inv_le_one_of_one_le /- _inst_1: ordered_comm_group ↝ covariant_class group has_le | |
| -/ | |
| #print neg_nonneg_of_nonpos /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class has_le | |
| -/ | |
| #print one_le_inv_of_le_one /- _inst_1: ordered_comm_group ↝ covariant_class group has_le | |
| -/ | |
| -- algebra/ordered_monoid.lean | |
| #print ordered_add_comm_monoid.to_covariant_class_right /- _inst_1: ordered_add_comm_monoid ↝ covariant_class has_add has_le | |
| -/ | |
| #print ordered_comm_monoid.to_covariant_class_right /- _inst_1: ordered_comm_monoid ↝ covariant_class has_le has_mul | |
| -/ | |
| #print ordered_comm_monoid.to_contravariant_class_right /- _inst_1: ordered_comm_monoid ↝ contravariant_class has_lt has_mul | |
| -/ | |
| #print ordered_add_comm_monoid.to_contravariant_class_right /- _inst_1: ordered_add_comm_monoid ↝ contravariant_class has_add has_lt | |
| -/ | |
| #print bit0_pos /- _inst_1: ordered_add_comm_monoid ↝ add_zero_class covariant_class preorder | |
| -/ | |
| #print with_zero.coe_le_coe /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print with_top.zero_lt_top /- _inst_1: ordered_add_comm_monoid ↝ has_zero partial_order | |
| -/ | |
| #print with_top.zero_lt_coe /- _inst_1: ordered_add_comm_monoid ↝ has_zero partial_order | |
| -/ | |
| #print with_bot.coe_eq_zero /- _inst_1: add_monoid ↝ has_zero | |
| -/ | |
| #print with_bot.bot_add /- _inst_1: ordered_add_comm_monoid ↝ add_monoid | |
| -/ | |
| #print with_bot.add_bot /- _inst_1: ordered_add_comm_monoid ↝ add_monoid | |
| -/ | |
| #print with_top.add_lt_add_iff_left /- _inst_1: ordered_cancel_add_comm_monoid ↝ contravariant_class covariant_class has_add partial_order | |
| -/ | |
| #print with_bot.add_lt_add_iff_left /- _inst_1: ordered_cancel_add_comm_monoid ↝ covariant_class ordered_add_comm_monoid | |
| -/ | |
| #print min_add_add_left /- _inst_1: add_cancel_comm_monoid ↝ has_add | |
| -/ | |
| #print min_mul_mul_left /- _inst_1: cancel_comm_monoid ↝ has_mul | |
| -/ | |
| #print min_mul_mul_right /- _inst_1: cancel_comm_monoid ↝ covariant_class has_mul | |
| _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print min_add_add_right /- _inst_1: add_cancel_comm_monoid ↝ covariant_class has_add | |
| _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print max_mul_mul_left /- _inst_1: cancel_comm_monoid ↝ has_mul | |
| -/ | |
| #print max_add_add_left /- _inst_1: add_cancel_comm_monoid ↝ has_add | |
| -/ | |
| #print max_add_add_right /- _inst_1: add_cancel_comm_monoid ↝ covariant_class has_add | |
| _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print max_mul_mul_right /- _inst_1: cancel_comm_monoid ↝ covariant_class has_mul | |
| _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print min_le_mul_of_one_le_right /- _inst_1: cancel_comm_monoid ↝ mul_one_class | |
| -/ | |
| #print min_le_add_of_nonneg_right /- _inst_1: add_cancel_comm_monoid ↝ add_zero_class | |
| -/ | |
| #print min_le_mul_of_one_le_left /- _inst_1: cancel_comm_monoid ↝ covariant_class mul_one_class | |
| _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print min_le_add_of_nonneg_left /- _inst_1: add_cancel_comm_monoid ↝ add_zero_class covariant_class | |
| _inst_3: covariant_class ↝ covariant_class | |
| -/ | |
| #print max_le_add_of_nonneg /- _inst_1: add_cancel_comm_monoid ↝ add_zero_class covariant_class | |
| -/ | |
| #print max_le_mul_of_one_le /- _inst_1: cancel_comm_monoid ↝ covariant_class mul_one_class | |
| -/ | |
| -- algebra/ordered_monoid_lemmas.lean | |
| #print le_add_of_nonneg_left /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print le_mul_of_one_le_left' /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print mul_le_of_le_one_left' /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print add_le_of_nonpos_left /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print lt_mul_of_one_lt_left' /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| #print lt_add_of_pos_left /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| -- algebra/ordered_ring.lean | |
| #print add_one_le_two_mul /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print strict_mono.mul_const /- _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print strict_mono.const_mul /- _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print strict_mono.mul /- _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print abs_mul_abs_self /- _inst_1: linear_ordered_ring ↝ linear_order ring | |
| -/ | |
| #print le_of_mul_le_of_one_le /- _inst_1: linear_ordered_ring ↝ linear_ordered_semiring | |
| -/ | |
| #print nonneg_le_nonneg_of_sq_le_sq /- _inst_1: linear_ordered_ring ↝ linear_ordered_semiring | |
| -/ | |
| #print mul_self_lt_mul_self_iff /- _inst_1: linear_ordered_ring ↝ linear_ordered_semiring | |
| -/ | |
| #print mul_self_inj /- _inst_1: linear_ordered_ring ↝ linear_ordered_semiring | |
| -/ | |
| #print abs_dvd /- _inst_1: linear_ordered_comm_ring ↝ comm_ring linear_order | |
| -/ | |
| #print dvd_abs /- _inst_1: linear_ordered_comm_ring ↝ comm_ring linear_order | |
| -/ | |
| -- algebra/periodic.lean | |
| #print function.periodic.const_smul' /- _inst_3: module ↝ distrib_mul_action has_scalar mul_action no_meet_fake_name smul_with_zero | |
| -/ | |
| #print function.antiperiodic.sub_eq' /- _inst_2: add_group ↝ has_neg | |
| -/ | |
| #print function.antiperiodic.const_smul' /- _inst_4: module ↝ distrib_mul_action has_scalar mul_action | |
| -/ | |
| #print function.antiperiodic.add /- _inst_1: add_group ↝ add_semigroup nonempty | |
| -/ | |
| #print function.periodic.add_antiperiod /- _inst_1: add_group ↝ add_semigroup nonempty | |
| -/ | |
| -- algebra/pointwise.lean | |
| #print set.univ_mul_univ /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print set.univ_add_univ /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print set.bdd_above_mul /- _inst_1: ordered_comm_monoid ↝ covariant_class covariant_class has_mul preorder | |
| -/ | |
| #print set.bdd_above_add /- _inst_1: ordered_add_comm_monoid ↝ covariant_class covariant_class has_add preorder | |
| -/ | |
| #print set.univ_inv /- _inst_1: group ↝ has_inv | |
| -/ | |
| #print set.univ_neg /- _inst_1: add_group ↝ has_neg | |
| -/ | |
| #print zero_smul_set /- _inst_3: module ↝ has_scalar no_meet_fake_name smul_with_zero | |
| -/ | |
| #print mem_inv_smul_set_iff /- _inst_1: field ↝ group_with_zero | |
| -/ | |
| #print finset.subset_add /- _inst_2: add_monoid ↝ has_add | |
| -/ | |
| #print finset.subset_mul /- _inst_2: monoid ↝ has_mul | |
| -/ | |
| #print add_submonoid.add_subset /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print submonoid.mul_subset /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print submonoid.coe_mul_self_eq /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print add_submonoid.coe_add_self_eq /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print submonoid.closure_mul_le /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print add_submonoid.closure_add_le /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| -- algebra/polynomial/group_ring_action.lean | |
| #print prod_X_sub_smul /- _inst_5: mul_semiring_action ↝ mul_action | |
| -/ | |
| -- algebra/quadratic_discriminant.lean | |
| #print discrim /- _inst_1: ring ↝ has_add has_mul has_one has_pow has_sub | |
| -/ | |
| -- algebra/quandle.lean | |
| #print rack.self_distrib /- _inst_1: rack ↝ shelf | |
| -/ | |
| #print rack.is_involutory /- _inst_2: rack ↝ shelf | |
| -/ | |
| #print rack.is_abelian /- _inst_2: rack ↝ shelf | |
| -/ | |
| -- algebra/quaternion.lean | |
| #print quaternion_algebra.has_coe_t /- _inst_1: comm_ring ↝ has_zero | |
| -/ | |
| #print quaternion_algebra.coe_re /- _inst_1: comm_ring ↝ has_coe_t no_meet_fake_name | |
| -/ | |
| #print quaternion_algebra.coe_im_i /- _inst_1: comm_ring ↝ has_coe_t has_zero no_meet_fake_name | |
| -/ | |
| #print quaternion_algebra.coe_im_j /- _inst_1: comm_ring ↝ has_coe_t has_zero no_meet_fake_name | |
| -/ | |
| #print quaternion_algebra.coe_im_k /- _inst_1: comm_ring ↝ has_coe_t has_zero no_meet_fake_name | |
| -/ | |
| #print quaternion_algebra.coe_injective /- _inst_1: comm_ring ↝ has_coe_t no_meet_fake_name | |
| -/ | |
| #print quaternion_algebra.has_zero /- _inst_1: comm_ring ↝ has_zero | |
| -/ | |
| #print quaternion_algebra.has_one /- _inst_1: comm_ring ↝ mul_zero_one_class | |
| -/ | |
| #print quaternion_algebra.has_add /- _inst_1: comm_ring ↝ has_add | |
| -/ | |
| #print quaternion_algebra.has_neg /- _inst_1: comm_ring ↝ has_neg | |
| -/ | |
| #print quaternion_algebra.has_sub /- _inst_1: comm_ring ↝ has_sub | |
| -/ | |
| #print quaternion_algebra.has_mul /- _inst_1: comm_ring ↝ has_add has_mul has_sub | |
| -/ | |
| #print quaternion.has_coe_t /- _inst_1: comm_ring ↝ has_coe_t has_neg has_one no_meet_fake_name | |
| -/ | |
| #print quaternion.ext /- _inst_1: comm_ring ↝ has_neg has_one | |
| -/ | |
| #print quaternion.ext_iff /- _inst_1: comm_ring ↝ has_neg has_one | |
| -/ | |
| #print quaternion.coe_re /- _inst_1: comm_ring ↝ has_coe_t has_neg has_one | |
| -/ | |
| #print quaternion.coe_im_i /- _inst_1: comm_ring ↝ has_coe_t has_neg mul_zero_one_class | |
| -/ | |
| #print quaternion.coe_im_j /- _inst_1: comm_ring ↝ has_coe_t has_neg mul_zero_one_class | |
| -/ | |
| #print quaternion.coe_im_k /- _inst_1: comm_ring ↝ has_coe_t has_neg mul_zero_one_class | |
| -/ | |
| #print quaternion.has_inv /- _inst_1: linear_ordered_field ↝ comm_ring has_inv | |
| -/ | |
| -- algebra/regular.lean | |
| #print is_regular_one /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| -- algebra/ring/basic.lean | |
| #print one_add_one_eq_two /- _inst_1: semiring ↝ has_add has_one | |
| -/ | |
| #print two_mul /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print distrib_three_right /- _inst_1: semiring ↝ distrib | |
| -/ | |
| #print mul_two /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print mul_boole /- _inst_2: non_assoc_semiring ↝ mul_zero_one_class | |
| -/ | |
| #print boole_mul /- _inst_2: non_assoc_semiring ↝ mul_zero_one_class | |
| -/ | |
| #print even /- _inst_1: semiring ↝ has_add has_mul has_one | |
| -/ | |
| #print odd /- _inst_1: semiring ↝ has_add has_mul has_one | |
| -/ | |
| #print two_dvd_bit0 /- _inst_1: comm_semiring ↝ semiring | |
| -/ | |
| #print ring_hom.map_dvd /- _inst_1: comm_semiring ↝ has_dvd non_assoc_semiring | |
| _inst_2: comm_semiring ↝ has_dvd non_assoc_semiring | |
| -/ | |
| #print dvd_neg_of_dvd /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| #print mul_self_eq_mul_self_iff /- _inst_1: integral_domain ↝ comm_ring no_zero_divisors | |
| -/ | |
| #print commute.bit1_right /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print commute.bit1_left /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- algebra/ring/boolean_ring.lean | |
| #print boolean_ring.has_sup /- _inst_1: boolean_ring ↝ has_add has_mul | |
| -/ | |
| #print boolean_ring.has_inf /- _inst_1: boolean_ring ↝ has_mul | |
| -/ | |
| #print boolean_ring.has_sdiff /- _inst_1: boolean_ring ↝ has_add has_mul has_one | |
| -/ | |
| #print boolean_ring.has_bot /- _inst_1: boolean_ring ↝ has_zero | |
| -/ | |
| -- algebra/ring/prod.lean | |
| #print ring_hom.prod_comp_prod_map /- _inst_1: non_assoc_semiring ↝ mul_one_class | |
| _inst_2: non_assoc_semiring ↝ mul_one_class | |
| _inst_3: non_assoc_semiring ↝ mul_one_class | |
| _inst_4: non_assoc_semiring ↝ mul_one_class | |
| _inst_5: non_assoc_semiring ↝ mul_one_class | |
| -/ | |
| -- algebra/ring_quot.lean | |
| #print ring_quot.ring_quot_ext /- _inst_5: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- algebra/smul_regular.lean | |
| #print is_smul_regular.is_left_regular_iff /- _inst_1: monoid ↝ has_mul | |
| -/ | |
| #print is_smul_regular.mul /- _inst_2: mul_action ↝ has_scalar is_scalar_tower | |
| -/ | |
| #print is_smul_regular.of_mul /- _inst_2: mul_action ↝ has_scalar is_scalar_tower | |
| -/ | |
| #print is_smul_regular.of_smul_eq_one /- _inst_4: mul_action_with_zero ↝ has_scalar | |
| _inst_5: mul_action_with_zero ↝ has_scalar | |
| _inst_6: mul_action_with_zero ↝ has_scalar mul_action | |
| -/ | |
| #print is_smul_regular.of_mul_eq_one /- _inst_4: mul_action_with_zero ↝ has_scalar mul_action | |
| -/ | |
| -- algebra/squarefree.lean | |
| #print squarefree_of_dvd_of_squarefree /- _inst_1: comm_monoid ↝ monoid | |
| -/ | |
| -- algebra/support.lean | |
| #print function.mul_support_mul /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print function.support_add /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print function.support_smul_subset_left /- _inst_3: module ↝ has_scalar no_meet_fake_name smul_with_zero | |
| -/ | |
| -- algebra/triv_sq_zero_ext.lean | |
| #print triv_sq_zero_ext.inl_add /- _inst_2: add_monoid ↝ add_zero_class | |
| -/ | |
| #print triv_sq_zero_ext.inr_add /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print triv_sq_zero_ext.inl_fst_add_inr_snd_eq /- _inst_1: add_monoid ↝ add_zero_class | |
| _inst_2: add_monoid ↝ add_zero_class | |
| -/ | |
| #print triv_sq_zero_ext.fst_smul /- _inst_2: has_scalar ↝ has_scalar no_meet_fake_name | |
| -/ | |
| #print triv_sq_zero_ext.snd_smul /- _inst_1: has_mul ↝ has_scalar no_meet_fake_name | |
| -/ | |
| #print triv_sq_zero_ext.inl_mul_inr /- _inst_3: module ↝ distrib_mul_action has_scalar | |
| -/ | |
| #print triv_sq_zero_ext.inr_mul_inl /- _inst_3: module ↝ distrib_mul_action has_scalar | |
| -/ | |
| #print triv_sq_zero_ext.inr_mul_inr /- _inst_3: module ↝ has_scalar no_meet_fake_name smul_with_zero | |
| -/ | |
| -- algebraic_geometry/prime_spectrum.lean | |
| #print prime_spectrum /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| -- algebraic_topology/simplicial_object.lean | |
| #print category_theory.simplicial_object.category_theory.limits.has_limits /- _inst_2: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.simplicial_object.category_theory.limits.has_colimits /- _inst_2: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| #print category_theory.simplicial_object.truncated.category_theory.limits.has_limits /- _inst_2: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.simplicial_object.truncated.category_theory.limits.has_colimits /- _inst_2: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| #print category_theory.cosimplicial_object.category_theory.limits.has_limits /- _inst_2: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.cosimplicial_object.category_theory.limits.has_colimits /- _inst_2: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| #print category_theory.cosimplicial_object.truncated.category_theory.limits.has_limits /- _inst_2: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.cosimplicial_object.truncated.category_theory.limits.has_colimits /- _inst_2: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| -- analysis/asymptotics/asymptotic_equivalent.lean | |
| #print asymptotics.is_equivalent /- _inst_1: normed_group ↝ has_norm has_sub | |
| -/ | |
| -- analysis/asymptotics/asymptotics.lean | |
| #print asymptotics.is_O_with.weaken /- _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_o_of_subsingleton /- _inst_4: normed_group ↝ semi_normed_group | |
| _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_with_norm_right /- _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_with_norm_left /- _inst_4: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_with_neg_right /- _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_with_neg_left /- _inst_4: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_with.prod_left_same /- _inst_6: normed_group ↝ has_norm | |
| -/ | |
| #print asymptotics.is_O_with.prod_left_fst /- _inst_6: normed_group ↝ has_norm | |
| -/ | |
| #print asymptotics.is_O_with.prod_left_snd /- _inst_6: normed_group ↝ has_norm | |
| -/ | |
| #print asymptotics.is_O.prod_left_fst /- _inst_6: normed_group ↝ has_norm | |
| -/ | |
| #print asymptotics.is_O.prod_left_snd /- _inst_6: normed_group ↝ has_norm | |
| -/ | |
| #print asymptotics.is_o.prod_left_fst /- _inst_6: normed_group ↝ has_norm | |
| -/ | |
| #print asymptotics.is_o.prod_left_snd /- _inst_6: normed_group ↝ has_norm | |
| -/ | |
| #print asymptotics.is_O_with.eq_zero_imp /- _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_with.add /- _inst_4: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_o.add_add /- _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_o_zero /- _inst_4: normed_group ↝ semi_normed_group | |
| _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_with_zero /- _inst_4: normed_group ↝ semi_normed_group | |
| _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_with_zero' /- _inst_4: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_refl_left /- _inst_5: normed_group ↝ has_norm | |
| -/ | |
| #print asymptotics.is_O_with_zero_right_iff /- _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_o_const_iff /- _inst_4: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_const_of_tendsto /- _inst_4: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_with_const_mul_self /- _inst_7: normed_ring ↝ semi_normed_ring | |
| -/ | |
| #print asymptotics.is_O_with.mul /- _inst_7: normed_ring ↝ semi_normed_ring | |
| -/ | |
| #print asymptotics.is_O_with.const_smul_left /- _inst_11: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print asymptotics.is_O_const_smul_left_iff /- _inst_11: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print asymptotics.is_o_const_smul_left /- _inst_11: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print asymptotics.is_o_const_smul_left_iff /- _inst_11: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print asymptotics.is_O_const_smul_right /- _inst_11: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print asymptotics.is_o_const_smul_right /- _inst_11: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print asymptotics.is_O_with.smul /- _inst_11: normed_space ↝ has_scalar semi_normed_space | |
| _inst_12: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print asymptotics.is_O.smul /- _inst_11: normed_space ↝ has_scalar semi_normed_space | |
| _inst_12: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print asymptotics.is_O.smul_is_o /- _inst_11: normed_space ↝ has_scalar semi_normed_space | |
| _inst_12: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print asymptotics.is_o.smul_is_O /- _inst_11: normed_space ↝ has_scalar semi_normed_space | |
| _inst_12: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print asymptotics.is_o.smul /- _inst_11: normed_space ↝ has_scalar semi_normed_space | |
| _inst_12: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print asymptotics.is_o_norm_pow_norm_pow /- _inst_4: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_with.right_le_sub_of_lt_1 /- _inst_4: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_cofinite_iff /- _inst_4: normed_group ↝ semi_normed_group | |
| -/ | |
| #print asymptotics.is_O_with_pi /- _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| #print summable_of_is_O /- _inst_1: normed_group ↝ semi_normed_group | |
| -/ | |
| -- analysis/asymptotics/specific_asymptotics.lean | |
| #print pow_div_pow_eventually_eq_at_top /- _inst_1: linear_ordered_field ↝ group_with_zero no_top_order preorder | |
| -/ | |
| #print pow_div_pow_eventually_eq_at_bot /- _inst_1: linear_ordered_field ↝ group_with_zero preorder | |
| -/ | |
| #print asymptotics.is_O.trans_tendsto_norm_at_top /- _inst_1: normed_linear_ordered_field ↝ normed_group | |
| -/ | |
| -- analysis/calculus/fderiv.lean | |
| #print has_fderiv_at_filter /- _inst_1: nondiscrete_normed_field ↝ module normed_field | |
| _inst_3: normed_space ↝ module | |
| _inst_5: normed_space ↝ module | |
| -/ | |
| #print has_strict_fderiv_at /- _inst_1: nondiscrete_normed_field ↝ module normed_field | |
| _inst_3: normed_space ↝ module | |
| _inst_5: normed_space ↝ module | |
| -/ | |
| #print has_strict_fderiv_at.restrict_scalars /- _inst_3: normed_algebra ↝ has_scalar linear_map.compatible_smul | |
| _inst_7: is_scalar_tower ↝ linear_map.compatible_smul | |
| _inst_11: is_scalar_tower ↝ linear_map.compatible_smul | |
| -/ | |
| #print has_fderiv_at.restrict_scalars /- _inst_3: normed_algebra ↝ has_scalar linear_map.compatible_smul | |
| _inst_7: is_scalar_tower ↝ linear_map.compatible_smul | |
| _inst_11: is_scalar_tower ↝ linear_map.compatible_smul | |
| -/ | |
| #print has_fderiv_within_at.restrict_scalars /- _inst_3: normed_algebra ↝ has_scalar linear_map.compatible_smul | |
| _inst_7: is_scalar_tower ↝ linear_map.compatible_smul | |
| _inst_11: is_scalar_tower ↝ linear_map.compatible_smul | |
| -/ | |
| -- analysis/calculus/fderiv_measurable.lean | |
| #print fderiv_measurable_aux.A /- _inst_1: nondiscrete_normed_field ↝ module normed_field | |
| _inst_3: normed_space ↝ module | |
| _inst_5: normed_space ↝ module | |
| -/ | |
| -- analysis/calculus/formal_multilinear_series.lean | |
| #print formal_multilinear_series /- _inst_8: nondiscrete_normed_field ↝ module normed_field | |
| _inst_12: normed_space ↝ module | |
| -/ | |
| -- analysis/calculus/inverse.lean | |
| #print approximates_linear_on /- _inst_1: nondiscrete_normed_field ↝ module normed_field | |
| _inst_3: normed_space ↝ module | |
| _inst_5: normed_space ↝ module | |
| -/ | |
| -- analysis/calculus/mean_value.lean | |
| #print image_norm_le_of_liminf_right_slope_norm_lt_deriv_boundary /- _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| -- analysis/calculus/tangent_cone.lean | |
| #print tangent_cone_at /- _inst_1: nondiscrete_normed_field ↝ has_norm semiring | |
| _inst_3: module ↝ has_scalar | |
| -/ | |
| #print tangent_cone_univ /- _inst_3: normed_space ↝ has_scalar module mul_action | |
| -/ | |
| #print tangent_cone_mono /- _inst_3: normed_space ↝ has_scalar module | |
| -/ | |
| #print tangent_cone_at.lim_zero /- _inst_1: nondiscrete_normed_field ↝ normed_field semi_normed_space | |
| _inst_3: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print unique_diff_on.unique_diff_within_at /- _inst_3: normed_space ↝ module | |
| -/ | |
| #print unique_diff_on_empty /- _inst_3: normed_space ↝ module | |
| -/ | |
| -- analysis/convex/basic.lean | |
| #print segment /- _inst_1: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print open_segment /- _inst_1: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print convex /- _inst_1: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print convex.combo_self /- _inst_5: linear_ordered_field ↝ non_assoc_semiring | |
| -/ | |
| #print convex_on /- _inst_6: ordered_add_comm_monoid ↝ add_comm_monoid has_le | |
| -/ | |
| #print concave_on /- _inst_6: ordered_add_comm_monoid ↝ add_comm_monoid has_le | |
| -/ | |
| #print convex_on.le_on_segment' /- _inst_8: linear_ordered_add_comm_group ↝ covariant_class linear_ordered_add_comm_monoid | |
| -/ | |
| #print convex_on.le_left_of_right_le' /- _inst_8: linear_ordered_add_comm_group ↝ covariant_class covariant_class linear_ordered_add_comm_monoid | |
| -/ | |
| #print convex_on.convex_lt /- _inst_8: ordered_cancel_add_comm_monoid ↝ contravariant_class covariant_class ordered_add_comm_monoid | |
| -/ | |
| #print finset.center_mass /- _inst_1: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| -- analysis/convex/extrema.lean | |
| #print is_min_on.of_is_local_min_on_of_convex_on_Icc /- _inst_6: linear_ordered_add_comm_group ↝ covariant_class linear_ordered_add_comm_monoid | |
| -/ | |
| -- analysis/convex/topology.lean | |
| #print convex.closure /- _inst_4: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print convex.add_smul_sub_mem_interior /- _inst_4: topological_add_group ↝ has_continuous_add | |
| -/ | |
| -- analysis/hofer.lean | |
| #print hofer /- _inst_1: metric_space ↝ pseudo_metric_space | |
| -/ | |
| -- analysis/normed_space/add_torsor.lean | |
| #print isometric.point_reflection_fixed_iff /- _inst_8: semi_normed_space ↝ module | |
| -/ | |
| #print affine_map.continuous_linear_iff /- _inst_11: semi_normed_space ↝ module | |
| _inst_12: semi_normed_space ↝ module | |
| -/ | |
| -- analysis/normed_space/banach.lean | |
| #print exists_approx_preimage_norm_le /- _inst_3: normed_space ↝ has_scalar module semi_normed_space | |
| -/ | |
| -- analysis/normed_space/basic.lean | |
| #print coe_nnnorm /- _inst_1: semi_normed_group ↝ has_nnnorm has_norm | |
| -/ | |
| #print eventually_ne_of_tendsto_norm_at_top /- _inst_1: semi_normed_group ↝ has_norm | |
| -/ | |
| #print normed_top_monoid /- _inst_1: semi_normed_group ↝ has_add has_continuous_add topological_space | |
| -/ | |
| #print normed_top_group /- _inst_1: semi_normed_group ↝ add_group topological_add_group topological_space | |
| -/ | |
| #print nnnorm_one /- _inst_1: semi_normed_group ↝ has_nnnorm has_norm | |
| -/ | |
| #print finset.norm_prod_le' /- _inst_2: normed_comm_ring ↝ semi_normed_comm_ring | |
| -/ | |
| #print finset.norm_prod_le /- _inst_2: normed_comm_ring ↝ semi_normed_comm_ring | |
| -/ | |
| #print normed_field.nhds_within_is_unit_ne_bot /- _inst_1: nondiscrete_normed_field ↝ filter.ne_bot group_with_zero no_meet_fake_name topological_space | |
| -/ | |
| #print eventually_nhds_norm_smul_sub_lt /- _inst_4: semi_normed_space ↝ distrib_mul_action has_continuous_smul has_scalar | |
| -/ | |
| #print ne_neg_of_mem_sphere /- _inst_4: semi_normed_space ↝ module no_zero_smul_divisors | |
| -/ | |
| #print rescale_to_shell /- _inst_3: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| -- analysis/normed_space/bounded_linear_maps.lean | |
| #print is_linear_map.with_bound /- _inst_1: nondiscrete_normed_field ↝ module normed_field | |
| -/ | |
| #print is_bounded_linear_map.tendsto /- _inst_1: nondiscrete_normed_field ↝ module normed_field | |
| -/ | |
| #print is_bounded_linear_map.is_O_id /- _inst_1: nondiscrete_normed_field ↝ normed_field | |
| -/ | |
| #print is_bounded_bilinear_map_smul /- _inst_9: normed_algebra ↝ algebra has_scalar no_meet_fake_name normed_space | |
| _inst_12: normed_space ↝ distrib_mul_action has_scalar module semi_normed_space | |
| -/ | |
| #print linear_map.norm_apply_of_isometry /- _inst_1: nondiscrete_normed_field ↝ module normed_field | |
| _inst_3: normed_space ↝ module | |
| _inst_5: normed_space ↝ module | |
| -/ | |
| -- analysis/normed_space/complemented.lean | |
| #print continuous_linear_map.ker_closed_complemented_of_finite_dimensional_range /- _inst_5: normed_space ↝ module module no_meet_fake_name normed_space | |
| -/ | |
| -- analysis/normed_space/dual.lean | |
| #print normed_space.dual /- _inst_1: nondiscrete_normed_field ↝ module module normed_field | |
| _inst_3: semi_normed_space ↝ module | |
| -/ | |
| -- analysis/normed_space/finite_dimension.lean | |
| #print linear_map.continuous_on_pi /- _inst_2: normed_field ↝ module semiring topological_space | |
| _inst_6: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print affine_map.continuous_of_finite_dimensional /- _inst_5: normed_space ↝ has_continuous_smul module module semi_normed_space | |
| _inst_13: normed_add_torsor ↝ add_torsor add_torsor semi_normed_add_torsor | |
| _inst_15: normed_add_torsor ↝ add_torsor add_torsor semi_normed_add_torsor | |
| -/ | |
| #print linear_map.exists_antilipschitz_with /- _inst_5: normed_space ↝ module module no_meet_fake_name normed_space | |
| -/ | |
| #print is_open_set_of_nat_le_rank /- _inst_3: normed_space ↝ module module module semi_normed_space semi_normed_space | |
| -/ | |
| #print basis.op_norm_le /- _inst_5: normed_space ↝ has_scalar module semi_normed_space | |
| -/ | |
| #print continuous_linear_map.topological_space.second_countable_topology /- _inst_14: topological_space.second_countable_topology ↝ topological_space.separable_space | |
| -/ | |
| #print submodule.complete_of_finite_dimensional /- _inst_3: normed_space ↝ module module no_meet_fake_name normed_space | |
| -/ | |
| #print continuous_linear_map.exists_right_inverse_of_surjective /- _inst_3: normed_space ↝ has_continuous_smul module module module | |
| -/ | |
| -- analysis/normed_space/hahn_banach.lean | |
| #print norm' /- _inst_1: nondiscrete_normed_field ↝ semi_normed_ring | |
| _inst_3: semi_normed_group ↝ has_norm | |
| -/ | |
| -- analysis/normed_space/indicator_function.lean | |
| #print norm_indicator_eq_indicator_norm /- _inst_1: normed_group ↝ semi_normed_group | |
| -/ | |
| #print nnnorm_indicator_eq_indicator_nnnorm /- _inst_1: normed_group ↝ semi_normed_group | |
| -/ | |
| #print indicator_norm_le_norm_self /- _inst_1: normed_group ↝ semi_normed_group | |
| -/ | |
| -- analysis/normed_space/inner_product.lean | |
| #print orthonormal /- _inst_2: inner_product_space ↝ has_inner has_norm | |
| -/ | |
| #print submodule.coe_inner /- _inst_2: inner_product_space ↝ add_comm_monoid has_inner inner_product_space module no_meet_fake_name | |
| -/ | |
| #print has_inner.is_R_or_C_to_real /- _inst_2: inner_product_space ↝ has_inner | |
| -/ | |
| #print submodule.finrank_add_finrank_orthogonal /- _inst_4: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| #print maximal_orthonormal_iff_basis_of_finite_dimensional /- _inst_4: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| -- analysis/normed_space/mazur_ulam.lean | |
| #print isometric.midpoint_fixed /- _inst_4: normed_add_torsor ↝ add_torsor semi_normed_add_torsor | |
| -/ | |
| #print isometric.map_midpoint /- _inst_8: normed_add_torsor ↝ add_torsor semi_normed_add_torsor | |
| -/ | |
| -- analysis/normed_space/multilinear.lean | |
| #print multilinear_map.bound_of_shell /- _inst_5: nondiscrete_normed_field ↝ module normed_field semi_normed_space | |
| _inst_15: normed_space ↝ has_scalar module semi_normed_space | |
| -/ | |
| #print multilinear_map.norm_image_sub_le_of_bound' /- _inst_5: nondiscrete_normed_field ↝ module normed_field | |
| _inst_15: normed_space ↝ module | |
| -/ | |
| #print multilinear_map.restr_norm_le /- _inst_5: nondiscrete_normed_field ↝ module normed_field | |
| _inst_15: normed_space ↝ module | |
| _inst_17: normed_space ↝ module | |
| -/ | |
| #print continuous_multilinear_map.op_norm /- _inst_5: nondiscrete_normed_field ↝ module normed_field | |
| _inst_15: normed_space ↝ module | |
| -/ | |
| #print continuous_multilinear_map.bounds_bdd_below /- _inst_5: nondiscrete_normed_field ↝ module normed_field | |
| _inst_15: normed_space ↝ module | |
| -/ | |
| #print continuous_multilinear_map.op_norm_smul_le /- _inst_18: nondiscrete_normed_field ↝ algebra has_continuous_smul module normed_field semi_normed_space | |
| _inst_19: normed_algebra ↝ algebra has_scalar | |
| _inst_20: normed_space ↝ has_continuous_smul has_scalar module semi_normed_space | |
| -/ | |
| #print continuous_multilinear_map.norm_restrict_scalars /- _inst_19: normed_algebra ↝ has_scalar | |
| -/ | |
| #print continuous_multilinear_map.uncurry0 /- _inst_5: nondiscrete_normed_field ↝ module normed_field | |
| _inst_17: normed_space ↝ module | |
| -/ | |
| #print continuous_multilinear_map.curry0 /- _inst_15: normed_space ↝ module | |
| -/ | |
| -- analysis/normed_space/normed_group_hom.lean | |
| #print exists_pos_bound_of_bound /- _inst_2: semi_normed_group ↝ has_norm | |
| -/ | |
| #print normed_group_hom.op_norm_zero_iff /- _inst_5: normed_group ↝ semi_normed_group | |
| -/ | |
| #print normed_group_hom.is_closed_ker /- _inst_6: normed_group ↝ semi_normed_group t1_space | |
| -/ | |
| -- analysis/normed_space/normed_group_quotient.lean | |
| #print image_norm_nonempty /- _inst_1: semi_normed_group ↝ add_group add_subgroup.normal has_norm no_meet_fake_name | |
| -/ | |
| -- analysis/normed_space/operator_norm.lean | |
| #print linear_map.lipschitz_of_bound /- _inst_5: semi_normed_space ↝ module | |
| _inst_6: semi_normed_space ↝ module | |
| -/ | |
| #print linear_map.antilipschitz_of_bound /- _inst_5: semi_normed_space ↝ module | |
| _inst_6: semi_normed_space ↝ module | |
| -/ | |
| #print linear_map.bound_of_antilipschitz /- _inst_5: semi_normed_space ↝ module | |
| _inst_6: semi_normed_space ↝ module | |
| -/ | |
| #print linear_map.bound_of_shell_semi_normed /- _inst_4: nondiscrete_normed_field ↝ module normed_field | |
| -/ | |
| #print norm_image_of_norm_zero /- _inst_4: nondiscrete_normed_field ↝ module normed_field | |
| _inst_5: semi_normed_space ↝ module | |
| _inst_6: semi_normed_space ↝ module | |
| -/ | |
| #print continuous_linear_map.to_span_singleton_homothety /- _inst_4: nondiscrete_normed_field ↝ module normed_field | |
| -/ | |
| #print continuous_linear_map.op_norm /- _inst_4: nondiscrete_normed_field ↝ module normed_field | |
| _inst_5: semi_normed_space ↝ module | |
| _inst_6: semi_normed_space ↝ module | |
| -/ | |
| #print continuous_linear_map.bounds_bdd_below /- _inst_4: nondiscrete_normed_field ↝ module normed_field | |
| _inst_5: semi_normed_space ↝ module | |
| _inst_6: semi_normed_space ↝ module | |
| -/ | |
| #print continuous_linear_map.op_norm_smul_le /- _inst_10: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print continuous_linear_map.isometry_iff_norm /- _inst_4: nondiscrete_normed_field ↝ module normed_field | |
| _inst_5: semi_normed_space ↝ module | |
| _inst_6: semi_normed_space ↝ module | |
| -/ | |
| #print continuous_linear_map.norm_restrict_scalars /- _inst_9: normed_algebra ↝ has_scalar linear_map.compatible_smul | |
| _inst_11: is_scalar_tower ↝ linear_map.compatible_smul | |
| _inst_13: is_scalar_tower ↝ linear_map.compatible_smul | |
| -/ | |
| #print continuous_linear_equiv.homothety_inverse /- _inst_4: nondiscrete_normed_field ↝ module normed_field | |
| _inst_5: semi_normed_space ↝ module | |
| _inst_6: semi_normed_space ↝ module | |
| -/ | |
| #print continuous_linear_map.bilinear_comp /- _inst_5: semi_normed_space ↝ module | |
| -/ | |
| #print linear_map.bound_of_shell /- _inst_5: normed_space ↝ module semi_normed_space | |
| _inst_6: normed_space ↝ module semi_normed_space | |
| -/ | |
| #print continuous_linear_map.op_norm_zero_iff /- _inst_5: normed_space ↝ module module semi_normed_space | |
| _inst_6: normed_space ↝ module module semi_normed_space | |
| -/ | |
| #print continuous_linear_map.norm_id /- _inst_5: normed_space ↝ module semi_normed_space | |
| -/ | |
| #print continuous_linear_map.homothety_norm /- _inst_5: normed_space ↝ module module semi_normed_space | |
| _inst_6: normed_space ↝ module module semi_normed_space | |
| -/ | |
| #print continuous_linear_map.uniform_embedding_of_bound /- _inst_5: normed_space ↝ module module semi_normed_space | |
| _inst_6: normed_space ↝ module module semi_normed_space | |
| -/ | |
| #print continuous_linear_map.antilipschitz_of_uniform_embedding /- _inst_5: normed_space ↝ has_scalar module module mul_action semi_normed_space | |
| -/ | |
| #print continuous_linear_map.complete_space /- _inst_6: normed_space ↝ has_continuous_smul has_scalar module module semi_normed_space | |
| -/ | |
| #print continuous_linear_map.norm_smul_right_apply /- _inst_5: normed_space ↝ module module semi_normed_space | |
| _inst_6: normed_space ↝ has_continuous_smul has_scalar is_scalar_tower module module semi_normed_space | |
| -/ | |
| #print continuous_linear_equiv.antilipschitz /- _inst_5: normed_space ↝ module module semi_normed_space | |
| _inst_6: normed_space ↝ module module semi_normed_space | |
| -/ | |
| #print continuous_linear_equiv.one_le_norm_mul_norm_symm /- _inst_6: normed_space ↝ module module semi_normed_space | |
| -/ | |
| -- analysis/normed_space/pi_Lp.lean | |
| #print euclidean_space /- _inst_3: is_R_or_C ↝ | |
| _inst_4: fintype ↝ | |
| -/ | |
| -- analysis/normed_space/riesz_lemma.lean | |
| #print riesz_lemma /- _inst_3: normed_space ↝ module | |
| -/ | |
| -- analysis/seminorm.lean | |
| #print absorbs /- _inst_1: nondiscrete_normed_field ↝ has_norm semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_3: module ↝ has_scalar | |
| -/ | |
| #print absorbent /- _inst_1: nondiscrete_normed_field ↝ has_norm semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_3: module ↝ has_scalar | |
| -/ | |
| #print balanced /- _inst_1: nondiscrete_normed_field ↝ has_norm semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_3: module ↝ has_scalar | |
| -/ | |
| #print seminorm.has_coe_to_fun /- _inst_1: nondiscrete_normed_field ↝ normed_field | |
| -/ | |
| -- analysis/special_functions/polynomials.lean | |
| #print polynomial.eventually_no_roots /- _inst_1: normed_linear_ordered_field ↝ linear_ordered_comm_ring | |
| -/ | |
| -- analysis/specific_limits.lean | |
| #print tendsto_pow_at_top_nhds_0_of_norm_lt_1 /- _inst_1: normed_ring ↝ semi_normed_ring | |
| -/ | |
| #print normed_ring.summable_geometric_of_norm_lt_1 /- _inst_1: normed_ring ↝ semi_normed_ring | |
| -/ | |
| -- category_theory/abelian/basic.lean | |
| #print category_theory.abelian.has_finite_biproducts /- _inst_2: category_theory.abelian ↝ category_theory.limits.has_finite_products category_theory.preadditive | |
| -/ | |
| #print category_theory.abelian.has_binary_biproducts /- _inst_2: category_theory.abelian ↝ category_theory.limits.has_finite_biproducts category_theory.limits.has_zero_morphisms | |
| -/ | |
| #print category_theory.abelian.images.is_iso_factor_thru_image /- _inst_3: category_theory.mono ↝ category_theory.mono no_meet_fake_name | |
| -/ | |
| #print category_theory.abelian.coimages.is_iso_factor_thru_coimage /- _inst_3: category_theory.epi ↝ category_theory.epi no_meet_fake_name | |
| -/ | |
| #print category_theory.abelian.has_equalizers /- _inst_2: category_theory.abelian ↝ category_theory.limits.has_kernels category_theory.preadditive | |
| -/ | |
| #print category_theory.abelian.has_pullbacks /- _inst_2: category_theory.abelian ↝ category_theory.limits.has_equalizers category_theory.limits.has_finite_products | |
| -/ | |
| #print category_theory.abelian.has_coequalizers /- _inst_2: category_theory.abelian ↝ category_theory.limits.has_cokernels category_theory.preadditive | |
| -/ | |
| #print category_theory.abelian.has_pushouts /- _inst_2: category_theory.abelian ↝ category_theory.limits.has_coequalizers category_theory.limits.has_finite_coproducts | |
| -/ | |
| #print category_theory.abelian.epi_pullback_of_epi_g /- _inst_4: category_theory.epi ↝ category_theory.epi | |
| -/ | |
| #print category_theory.abelian.epi_snd_of_is_limit /- _inst_2: category_theory.abelian ↝ category_theory.epi no_meet_fake_name | |
| -/ | |
| #print category_theory.abelian.epi_fst_of_is_limit /- _inst_2: category_theory.abelian ↝ category_theory.epi no_meet_fake_name | |
| -/ | |
| #print category_theory.abelian.mono_pushout_of_mono_g /- _inst_4: category_theory.mono ↝ category_theory.mono | |
| -/ | |
| #print category_theory.abelian.mono_inr_of_is_colimit /- _inst_2: category_theory.abelian ↝ category_theory.mono no_meet_fake_name | |
| -/ | |
| #print category_theory.abelian.mono_inl_of_is_colimit /- _inst_2: category_theory.abelian ↝ category_theory.mono no_meet_fake_name | |
| -/ | |
| -- category_theory/abelian/diagram_lemmas/four.lean | |
| #print category_theory.abelian.is_iso_of_is_iso_of_is_iso_of_is_iso_of_is_iso /- _inst_9: category_theory.is_iso ↝ category_theory.epi | |
| _inst_10: category_theory.is_iso ↝ category_theory.epi category_theory.mono | |
| _inst_11: category_theory.is_iso ↝ category_theory.epi category_theory.mono | |
| _inst_12: category_theory.is_iso ↝ category_theory.mono | |
| -/ | |
| -- category_theory/abelian/non_preadditive.lean | |
| #print category_theory.non_preadditive_abelian.is_iso_factor_thru_image /- _inst_3: category_theory.mono ↝ category_theory.mono no_meet_fake_name | |
| -/ | |
| #print category_theory.non_preadditive_abelian.is_iso_factor_thru_coimage /- _inst_3: category_theory.epi ↝ category_theory.epi no_meet_fake_name | |
| -/ | |
| #print category_theory.non_preadditive_abelian.epi_is_cokernel_of_kernel /- _inst_3: category_theory.epi ↝ category_theory.is_iso no_meet_fake_name | |
| -/ | |
| #print category_theory.non_preadditive_abelian.mono_is_kernel_of_cokernel /- _inst_3: category_theory.mono ↝ category_theory.is_iso no_meet_fake_name | |
| -/ | |
| #print category_theory.non_preadditive_abelian.mono_Δ /- _inst_2: category_theory.non_preadditive_abelian ↝ category_theory.limits.has_finite_products | |
| -/ | |
| #print category_theory.non_preadditive_abelian.lift_map /- _inst_2: category_theory.non_preadditive_abelian ↝ category_theory.limits.has_finite_products category_theory.limits.has_zero_morphisms | |
| -/ | |
| -- category_theory/abelian/projective.lean | |
| #print category_theory.ProjectiveResolution.category_theory.has_projective_resolutions /- _inst_2: category_theory.abelian ↝ category_theory.has_projective_resolution category_theory.limits.has_equalizers category_theory.limits.has_finite_products category_theory.limits.has_images category_theory.limits.has_zero_morphisms category_theory.limits.has_zero_object no_meet_fake_name | |
| _inst_3: category_theory.enough_projectives ↝ category_theory.has_projective_resolution no_meet_fake_name | |
| -/ | |
| -- category_theory/abelian/pseudoelements.lean | |
| #print category_theory.abelian.pseudo_equal_trans /- _inst_2: category_theory.abelian ↝ category_theory.epi category_theory.epi category_theory.limits.has_pullbacks no_meet_fake_name | |
| -/ | |
| -- category_theory/adjunction/lifting.lean | |
| #print category_theory.adjoint_square_lift /- _inst_5: category_theory.is_right_adjoint ↝ category_theory.is_right_adjoint | |
| _inst_7: category_theory.is_right_adjoint ↝ category_theory.is_right_adjoint | |
| -/ | |
| #print category_theory.monadic_adjoint_square_lift /- _inst_5: category_theory.is_right_adjoint ↝ category_theory.is_right_adjoint | |
| _inst_7: category_theory.is_right_adjoint ↝ category_theory.is_right_adjoint | |
| -/ | |
| -- category_theory/adjunction/limits.lean | |
| #print category_theory.adjunction.has_colimit_comp_equivalence /- _inst_4: category_theory.is_equivalence ↝ category_theory.limits.preserves_colimits no_meet_fake_name | |
| -/ | |
| #print category_theory.adjunction.has_colimits_of_shape_of_equivalence /- _inst_5: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.adjunction.has_colimits_of_equivalence /- _inst_5: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| #print category_theory.adjunction.has_limit_comp_equivalence /- _inst_4: category_theory.is_equivalence ↝ category_theory.limits.preserves_limits no_meet_fake_name | |
| -/ | |
| #print category_theory.adjunction.has_limits_of_shape_of_equivalence /- _inst_5: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.adjunction.has_limits_of_equivalence /- _inst_5: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| -- category_theory/adjunction/reflective.lean | |
| #print category_theory.unit_obj_eq_map_unit /- _inst_4: category_theory.reflective ↝ category_theory.faithful category_theory.full category_theory.is_right_adjoint category_theory.mono | |
| -/ | |
| #print category_theory.is_iso_unit_obj /- _inst_4: category_theory.reflective ↝ category_theory.faithful category_theory.full category_theory.is_right_adjoint | |
| -/ | |
| #print category_theory.functor.ess_image.unit_is_iso /- _inst_4: category_theory.reflective ↝ category_theory.is_iso category_theory.is_right_adjoint no_meet_fake_name | |
| -/ | |
| #print category_theory.unit_comp_partial_bijective_aux /- _inst_4: category_theory.reflective ↝ category_theory.faithful category_theory.full category_theory.is_right_adjoint | |
| -/ | |
| -- category_theory/category/default.lean | |
| #print category_theory.eq_whisker /- _inst_1: category_theory.category ↝ category_theory.category_struct | |
| -/ | |
| #print category_theory.whisker_eq /- _inst_1: category_theory.category ↝ category_theory.category_struct | |
| -/ | |
| #print category_theory.comp_dite /- _inst_1: category_theory.category ↝ category_theory.category_struct | |
| -/ | |
| #print category_theory.dite_comp /- _inst_1: category_theory.category ↝ category_theory.category_struct | |
| -/ | |
| #print category_theory.hom_of_le /- _inst_1: preorder ↝ has_le quiver | |
| -/ | |
| #print category_theory.le_of_hom /- _inst_1: preorder ↝ has_le quiver | |
| -/ | |
| -- category_theory/category/ulift.lean | |
| #print category_theory.as_small /- _inst_2: category_theory.category ↝ | |
| -/ | |
| -- category_theory/closed/ideal.lean | |
| #print category_theory.exponential_ideal.mk_of_iso /- _inst_5: category_theory.reflective ↝ category_theory.is_right_adjoint | |
| -/ | |
| -- category_theory/concrete_category/bundled_hom.lean | |
| #print category_theory.bundled_hom.bundled_hom_of_parent_projection /- _inst_1: category_theory.bundled_hom.parent_projection ↝ | |
| -/ | |
| -- category_theory/core.lean | |
| #print category_theory.core.forget_functor_to_core /- _inst_2: category_theory.groupoid ↝ category_theory.category | |
| -/ | |
| -- category_theory/endomorphism.lean | |
| #print category_theory.End /- _inst_1: category_theory.category_struct ↝ quiver | |
| -/ | |
| -- category_theory/enriched/basic.lean | |
| #print category_theory.forget_enrichment /- _inst_9: category_theory.enriched_category ↝ | |
| -/ | |
| -- category_theory/filtered.lean | |
| #print category_theory.is_filtered_of_semilattice_sup_nonempty /- _inst_2: semilattice_sup ↝ category_theory.is_filtered_or_empty category_theory.small_category | |
| -/ | |
| #print category_theory.is_filtered_of_directed_order_nonempty /- _inst_2: directed_order ↝ category_theory.is_filtered_or_empty category_theory.small_category | |
| -/ | |
| #print category_theory.is_cofiltered_of_semilattice_inf_nonempty /- _inst_2: semilattice_inf ↝ category_theory.is_cofiltered_or_empty category_theory.small_category | |
| -/ | |
| -- category_theory/full_subcategory.lean | |
| #print category_theory.induced_category /- _inst_1: category_theory.category ↝ | |
| -/ | |
| -- category_theory/graded_object.lean | |
| #print category_theory.graded_object_with_shift /- _inst_1: add_comm_group ↝ | |
| -/ | |
| -- category_theory/is_connected.lean | |
| #print category_theory.is_connected_of_equivalent /- _inst_4: category_theory.is_connected ↝ category_theory.is_preconnected nonempty | |
| -/ | |
| #print category_theory.zag /- _inst_1: category_theory.category ↝ quiver | |
| -/ | |
| #print category_theory.equiv_relation /- _inst_3: category_theory.is_connected ↝ category_theory.is_preconnected nonempty | |
| -/ | |
| #print category_theory.nonempty_hom_of_connected_groupoid /- _inst_4: category_theory.groupoid ↝ category_theory.category category_theory.is_iso no_meet_fake_name | |
| -/ | |
| -- category_theory/limits/cofinal.lean | |
| #print category_theory.cofinal.colimit_iso /- _inst_3: category_theory.cofinal ↝ category_theory.is_iso category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.cofinal.cofinal_of_colimit_comp_coyoneda_iso_punit /- _inst_3: category_theory.cofinal ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| -- category_theory/limits/comma.lean | |
| #print category_theory.comma.has_limits_of_shape /- _inst_5: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| _inst_6: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.comma.has_limits /- _inst_5: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| _inst_6: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.comma.has_colimits_of_shape /- _inst_5: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| _inst_6: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.comma.has_colimits /- _inst_5: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| _inst_6: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| #print category_theory.arrow.has_limits_of_shape /- _inst_5: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.arrow.has_limits /- _inst_5: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.arrow.has_colimits_of_shape /- _inst_5: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.arrow.has_colimits /- _inst_5: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| #print category_theory.structured_arrow.has_limits_of_shape /- _inst_5: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.structured_arrow.has_limits /- _inst_5: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.costructured_arrow.has_colimits_of_shape /- _inst_5: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.costructured_arrow.has_colimits /- _inst_5: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| -- category_theory/limits/constructions/over/connected.lean | |
| #print category_theory.over.has_connected_limits /- _inst_4: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| -- category_theory/limits/creates.lean | |
| #print category_theory.has_limits_of_shape_of_has_limits_of_shape_creates_limits_of_shape /- _inst_4: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.has_limits_of_has_limits_creates_limits /- _inst_4: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.has_colimits_of_shape_of_has_colimits_of_shape_creates_colimits_of_shape /- _inst_4: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.has_colimits_of_has_colimits_creates_colimits /- _inst_4: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| #print category_theory.preserves_limits_of_creates_limits_and_has_limits /- _inst_5: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.preserves_colimits_of_creates_colimits_and_has_colimits /- _inst_5: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| -- category_theory/limits/functor_category.lean | |
| #print category_theory.limits.functor_category_has_limits_of_shape /- _inst_4: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.functor_category_has_colimits_of_shape /- _inst_4: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.functor_category_has_limits /- _inst_4: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.limits.functor_category_has_colimits /- _inst_4: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| #print category_theory.limits.evaluation_preserves_limits /- _inst_4: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.limits.evaluation_preserves_colimits /- _inst_4: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| -- category_theory/limits/has_limits.lean | |
| #print category_theory.limits.limit.map_pre' /- _inst_4: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.limit.map_post /- _inst_4: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| _inst_6: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.has_limits_of_shape_of_equivalence /- _inst_5: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.colimit.pre_map' /- _inst_4: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.has_colimits_of_shape_of_equivalence /- _inst_5: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| -- category_theory/limits/over.lean | |
| #print category_theory.over.category_theory.limits.has_colimits_of_shape /- _inst_3: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.over.category_theory.limits.has_colimits /- _inst_3: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| #print category_theory.under.category_theory.limits.has_limits_of_shape /- _inst_3: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.under.category_theory.limits.has_limits /- _inst_3: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| -- category_theory/limits/preserves/basic.lean | |
| #print category_theory.limits.comp_reflects_limits_of_shape /- _inst_4: category_theory.limits.reflects_limits_of_shape ↝ category_theory.limits.reflects_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.comp_reflects_limits /- _inst_4: category_theory.limits.reflects_limits ↝ category_theory.limits.reflects_limits_of_shape no_meet_fake_name | |
| _inst_5: category_theory.limits.reflects_limits ↝ category_theory.limits.reflects_limits_of_shape no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.comp_reflects_colimits_of_shape /- _inst_4: category_theory.limits.reflects_colimits_of_shape ↝ category_theory.limits.reflects_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.comp_reflects_colimits /- _inst_4: category_theory.limits.reflects_colimits ↝ category_theory.limits.reflects_colimits_of_shape no_meet_fake_name | |
| _inst_5: category_theory.limits.reflects_colimits ↝ category_theory.limits.reflects_colimits_of_shape no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.preserves_limits_of_reflects_of_preserves /- _inst_5: category_theory.limits.reflects_limits ↝ category_theory.limits.reflects_limits_of_shape no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.reflects_limits_of_shape_of_nat_iso /- _inst_4: category_theory.limits.reflects_limits_of_shape ↝ category_theory.limits.reflects_limit | |
| -/ | |
| #print category_theory.limits.reflects_limits_of_nat_iso /- _inst_4: category_theory.limits.reflects_limits ↝ category_theory.limits.reflects_limits_of_shape no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.reflects_limits_of_shape_of_reflects_isomorphisms /- _inst_5: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.reflects_limits_of_reflects_isomorphisms /- _inst_5: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.limits.preserves_colimits_of_reflects_of_preserves /- _inst_5: category_theory.limits.reflects_colimits ↝ category_theory.limits.reflects_colimits_of_shape no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.reflects_colimits_of_shape_of_nat_iso /- _inst_4: category_theory.limits.reflects_colimits_of_shape ↝ category_theory.limits.reflects_colimit | |
| -/ | |
| #print category_theory.limits.reflects_colimits_of_nat_iso /- _inst_4: category_theory.limits.reflects_colimits ↝ category_theory.limits.reflects_colimits_of_shape no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.reflects_colimits_of_shape_of_reflects_isomorphisms /- _inst_5: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.reflects_colimits_of_reflects_isomorphisms /- _inst_5: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| -- category_theory/limits/preserves/functor_category.lean | |
| #print category_theory.functor_category.prod_preserves_colimits /- _inst_4: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| -- category_theory/limits/shapes/biproducts.lean | |
| #print category_theory.limits.has_finite_products_of_has_finite_biproducts /- _inst_4: category_theory.limits.has_finite_biproducts ↝ category_theory.limits.has_biproduct no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.has_finite_coproducts_of_has_finite_biproducts /- _inst_4: category_theory.limits.has_finite_biproducts ↝ category_theory.limits.has_biproduct no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.has_binary_biproducts_of_finite_biproducts /- _inst_4: category_theory.limits.has_finite_biproducts ↝ category_theory.limits.has_biproducts_of_shape no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.has_binary_products_of_has_binary_biproducts /- _inst_4: category_theory.limits.has_binary_biproducts ↝ category_theory.limits.has_binary_biproduct | |
| -/ | |
| #print category_theory.limits.has_binary_coproducts_of_has_binary_biproducts /- _inst_4: category_theory.limits.has_binary_biproducts ↝ category_theory.limits.has_binary_biproduct | |
| -/ | |
| #print category_theory.limits.biprod.symmetry' /- _inst_4: category_theory.limits.has_binary_biproducts ↝ category_theory.limits.has_binary_biproduct | |
| -/ | |
| #print category_theory.limits.biproduct.matrix_map /- _inst_2: category_theory.preadditive ↝ category_theory.limits.has_zero_morphisms | |
| -/ | |
| #print category_theory.limits.biproduct.map_matrix /- _inst_2: category_theory.preadditive ↝ category_theory.limits.has_zero_morphisms | |
| -/ | |
| #print category_theory.limits.biprod.map_eq /- _inst_6: category_theory.limits.has_binary_biproducts ↝ category_theory.limits.has_binary_biproduct | |
| -/ | |
| -- category_theory/limits/shapes/finite_limits.lean | |
| #print category_theory.limits.has_finite_limits_of_has_limits /- _inst_2: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.limits.has_finite_colimits_of_has_colimits /- _inst_2: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| -- category_theory/limits/shapes/images.lean | |
| #print category_theory.limits.image.map_hom_mk'_ι /- _inst_5: category_theory.limits.has_image ↝ category_theory.limits.has_image no_meet_fake_name | |
| _inst_6: category_theory.limits.has_image ↝ category_theory.limits.has_image no_meet_fake_name | |
| -/ | |
| -- category_theory/limits/shapes/reflexive.lean | |
| #print category_theory.limits.has_coequalizer_of_common_section /- _inst_3: category_theory.limits.has_reflexive_coequalizers ↝ category_theory.limits.has_coequalizer | |
| -/ | |
| #print category_theory.limits.has_equalizer_of_common_retraction /- _inst_3: category_theory.limits.has_coreflexive_equalizers ↝ category_theory.limits.has_equalizer | |
| -/ | |
| -- category_theory/limits/shapes/strong_epi.lean | |
| #print category_theory.strong_epi_comp /- _inst_2: category_theory.strong_epi ↝ category_theory.arrow.has_lift category_theory.epi no_meet_fake_name | |
| _inst_3: category_theory.strong_epi ↝ category_theory.arrow.has_lift category_theory.epi no_meet_fake_name | |
| -/ | |
| #print category_theory.is_iso_of_mono_of_strong_epi /- _inst_3: category_theory.strong_epi ↝ category_theory.arrow.has_lift no_meet_fake_name | |
| -/ | |
| -- category_theory/linear/default.lean | |
| #print category_theory.linear.category_theory.End.module /- _inst_3: comm_ring ↝ semiring | |
| -/ | |
| -- category_theory/monad/adjunction.lean | |
| #print category_theory.μ_iso_of_reflective /- _inst_3: category_theory.reflective ↝ category_theory.faithful category_theory.full category_theory.is_right_adjoint | |
| -/ | |
| #print category_theory.reflective.comparison_ess_surj /- _inst_3: category_theory.reflective ↝ category_theory.is_iso category_theory.is_right_adjoint no_meet_fake_name | |
| -/ | |
| -- category_theory/monad/limits.lean | |
| #print category_theory.comp_comparison_forget_has_limit /- _inst_4: category_theory.monadic_right_adjoint ↝ category_theory.is_right_adjoint | |
| -/ | |
| #print category_theory.comp_comparison_has_limit /- _inst_4: category_theory.monadic_right_adjoint ↝ category_theory.is_right_adjoint category_theory.limits.has_limit no_meet_fake_name | |
| _inst_5: category_theory.limits.has_limit ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.monadic_creates_limits /- _inst_4: category_theory.monadic_right_adjoint ↝ category_theory.is_equivalence category_theory.is_right_adjoint | |
| -/ | |
| #print category_theory.monadic_creates_colimit_of_preserves_colimit /- _inst_4: category_theory.monadic_right_adjoint ↝ category_theory.is_equivalence category_theory.is_right_adjoint | |
| -/ | |
| #print category_theory.has_limit_of_reflective /- _inst_5: category_theory.reflective ↝ category_theory.monadic_right_adjoint | |
| -/ | |
| #print category_theory.has_limits_of_shape_of_reflective /- _inst_4: category_theory.limits.has_limits_of_shape ↝ category_theory.limits.has_limit no_meet_fake_name | |
| -/ | |
| #print category_theory.has_limits_of_reflective /- _inst_4: category_theory.limits.has_limits ↝ category_theory.limits.has_limits_of_shape | |
| -/ | |
| #print category_theory.has_colimits_of_shape_of_reflective /- _inst_4: category_theory.reflective ↝ category_theory.faithful category_theory.full category_theory.is_right_adjoint | |
| _inst_5: category_theory.limits.has_colimits_of_shape ↝ category_theory.limits.has_colimit no_meet_fake_name | |
| -/ | |
| #print category_theory.has_colimits_of_reflective /- _inst_5: category_theory.limits.has_colimits ↝ category_theory.limits.has_colimits_of_shape | |
| -/ | |
| -- category_theory/monoidal/transport.lean | |
| #print category_theory.monoidal.transported /- _inst_2: category_theory.monoidal_category ↝ | |
| -/ | |
| -- category_theory/preadditive/biproducts.lean | |
| #print category_theory.is_iso_left_of_is_iso_biprod_map /- _inst_3: category_theory.limits.has_binary_biproducts ↝ category_theory.limits.has_binary_biproduct | |
| -/ | |
| #print category_theory.biprod.column_nonzero_of_iso /- _inst_3: category_theory.limits.has_binary_biproducts ↝ category_theory.limits.has_binary_biproduct | |
| -/ | |
| -- category_theory/preadditive/functor_category.lean | |
| #print category_theory.nat_trans.app_zero /- _inst_3: category_theory.preadditive ↝ category_theory.limits.has_zero_morphisms | |
| -/ | |
| -- category_theory/preadditive/opposite.lean | |
| #print category_theory.unop_zero /- _inst_2: category_theory.preadditive ↝ category_theory.limits.has_zero_morphisms | |
| -/ | |
| #print category_theory.op_zero /- _inst_2: category_theory.preadditive ↝ category_theory.limits.has_zero_morphisms | |
| -/ | |
| -- category_theory/sites/grothendieck.lean | |
| #print category_theory.grothendieck_topology.right_ore_condition /- _inst_2: category_theory.category ↝ category_theory.category_struct | |
| -/ | |
| -- category_theory/sites/sieves.lean | |
| #print category_theory.presieve /- _inst_1: category_theory.category ↝ quiver | |
| -/ | |
| -- category_theory/subobject/limits.lean | |
| #print category_theory.limits.image_subobject_comp_le_epi_of_epi /- _inst_3: category_theory.limits.has_equalizers ↝ category_theory.epi no_meet_fake_name | |
| _inst_4: category_theory.epi ↝ category_theory.epi no_meet_fake_name | |
| -/ | |
| #print category_theory.limits.image_subobject_iso_comp /- _inst_3: category_theory.limits.has_equalizers ↝ category_theory.is_iso category_theory.limits.has_image no_meet_fake_name | |
| _inst_4: category_theory.is_iso ↝ category_theory.is_iso category_theory.limits.has_image no_meet_fake_name | |
| -/ | |
| -- category_theory/subterminal.lean | |
| #print category_theory.is_subterminal /- _inst_1: category_theory.category ↝ quiver | |
| -/ | |
| -- combinatorics/simple_graph/basic.lean | |
| #print simple_graph.decidable_mem_common_neighbors /- _inst_1: decidable_rel ↝ decidable_pred no_meet_fake_name | |
| -/ | |
| -- computability/partrec.lean | |
| #print partrec /- _inst_1: primcodable ↝ encodable | |
| _inst_2: primcodable ↝ encodable | |
| -/ | |
| -- computability/primrec.lean | |
| #print primrec /- _inst_1: primcodable ↝ encodable | |
| _inst_2: primcodable ↝ encodable | |
| -/ | |
| -- computability/reduce.lean | |
| #print to_nat /- _inst_1: primcodable ↝ encodable | |
| -/ | |
| -- computability/turing_machine.lean | |
| #print turing.TM0.machine /- _inst_2: inhabited ↝ | |
| -/ | |
| #print turing.TM1to0.Λ' /- _inst_2: inhabited ↝ | |
| _inst_3: inhabited ↝ | |
| -/ | |
| #print turing.TM2to1.Γ' /- _inst_1: decidable_eq ↝ | |
| -/ | |
| #print turing.TM2to1.st_run /- _inst_2: inhabited ↝ | |
| -/ | |
| -- control/basic.lean | |
| #print fish /- _inst_3: monad ↝ has_bind no_meet_fake_name | |
| -/ | |
| #print succeeds /- _inst_1: alternative ↝ functor has_orelse has_pure no_meet_fake_name | |
| -/ | |
| #print mtry /- _inst_1: alternative ↝ functor has_orelse has_pure no_meet_fake_name | |
| -/ | |
| -- control/bitraversable/instances.lean | |
| #print const.bitraverse /- _inst_2: applicative ↝ | |
| -/ | |
| -- control/fold.lean | |
| #print traversable.mfoldl.unop_of_free_monoid /- _inst_2: is_lawful_monad ↝ | |
| -/ | |
| -- control/functor.lean | |
| #print functor.comp.has_pure /- _inst_1: applicative ↝ has_pure no_meet_fake_name | |
| _inst_2: applicative ↝ has_pure no_meet_fake_name | |
| -/ | |
| -- control/monad/cont.lean | |
| #print cont_t.monad_lift /- _inst_1: monad ↝ has_bind no_meet_fake_name | |
| -/ | |
| #print writer_t.monad_cont /- _inst_1: monad ↝ | |
| -/ | |
| #print state_t.mk_label /- _inst_1: monad ↝ | |
| -/ | |
| -- control/monad/writer.lean | |
| #print writer_t.ext /- _inst_1: monad ↝ | |
| -/ | |
| #print writer_t.tell /- _inst_1: monad ↝ has_pure no_meet_fake_name | |
| -/ | |
| #print writer_t.pure /- _inst_1: monad ↝ has_pure no_meet_fake_name | |
| -/ | |
| #print writer_t.bind /- _inst_1: monad ↝ has_bind has_pure no_meet_fake_name | |
| -/ | |
| #print writer_t.lift /- _inst_1: monad ↝ functor no_meet_fake_name | |
| -/ | |
| #print writer_t.monad_map /- _inst_2: monad ↝ | |
| _inst_3: monad ↝ | |
| -/ | |
| #print writer_t.adapt /- _inst_1: monad ↝ functor no_meet_fake_name | |
| -/ | |
| #print writer_t.monad_except /- _inst_1: monad ↝ | |
| -/ | |
| #print reader_t.monad_writer /- _inst_1: monad ↝ has_monad_lift no_meet_fake_name | |
| -/ | |
| -- control/traversable/instances.lean | |
| #print option.comp_traverse /- _inst_3: is_lawful_applicative ↝ | |
| -/ | |
| #print list.comp_traverse /- _inst_3: is_lawful_applicative ↝ | |
| -/ | |
| #print sum.comp_traverse /- _inst_3: is_lawful_applicative ↝ | |
| -/ | |
| -- control/uliftable.lean | |
| #print uliftable.adapt_up /- _inst_2: monad ↝ has_bind no_meet_fake_name | |
| -/ | |
| #print uliftable.adapt_down /- _inst_1: monad ↝ has_bind no_meet_fake_name | |
| -/ | |
| -- data/buffer/parser/basic.lean | |
| #print parser.and_then_eq_bind /- _inst_1: monad ↝ has_bind no_meet_fake_name | |
| -/ | |
| #print parser.mono.seq /- _inst_2: parser.mono ↝ no_meet_fake_name parser.mono | |
| -/ | |
| #print parser.mono.foldr /- _inst_1: parser.mono ↝ no_meet_fake_name parser.mono | |
| -/ | |
| #print parser.mono.foldl /- _inst_1: parser.mono ↝ no_meet_fake_name parser.mono | |
| -/ | |
| #print parser.static.seq /- _inst_2: parser.static ↝ no_meet_fake_name parser.static | |
| -/ | |
| #print parser.static.foldr /- _inst_1: parser.static ↝ no_meet_fake_name parser.static | |
| -/ | |
| #print parser.static.foldl /- _inst_1: parser.static ↝ no_meet_fake_name parser.static | |
| -/ | |
| #print parser.unfailing.seq /- _inst_2: parser.unfailing ↝ no_meet_fake_name parser.unfailing | |
| -/ | |
| #print parser.err_static.seq /- _inst_3: parser.err_static ↝ no_meet_fake_name parser.err_static | |
| -/ | |
| #print parser.err_static.seq_of_unfailing /- _inst_2: parser.unfailing ↝ no_meet_fake_name parser.unfailing | |
| -/ | |
| #print parser.step.seq /- _inst_2: parser.static ↝ no_meet_fake_name parser.static | |
| -/ | |
| #print parser.step.seq' /- _inst_2: parser.step ↝ no_meet_fake_name parser.step | |
| -/ | |
| #print parser.prog.seq /- _inst_2: parser.mono ↝ no_meet_fake_name parser.mono | |
| -/ | |
| -- data/complex/exponential.lean | |
| #print is_cau_geo_series /- _inst_5: field ↝ domain | |
| -/ | |
| -- data/complex/is_R_or_C.lean | |
| #print norm_smul_inv_norm /- _inst_3: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| -- data/complex/module.lean | |
| #print module.complex_to_real /- _inst_1: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| -- data/dfinsupp.lean | |
| #print dfinsupp.prod_inv /- _inst_3: comm_group ↝ comm_monoid has_inv is_group_hom is_monoid_hom no_meet_fake_name | |
| -/ | |
| #print dfinsupp.sum_neg /- _inst_3: add_comm_group ↝ add_comm_monoid has_neg is_add_group_hom is_add_monoid_hom no_meet_fake_name | |
| -/ | |
| #print monoid_hom.coe_dfinsupp_prod /- _inst_4: monoid ↝ mul_one_class | |
| -/ | |
| #print add_monoid_hom.coe_dfinsupp_sum /- _inst_4: add_monoid ↝ add_zero_class | |
| -/ | |
| #print add_monoid_hom.dfinsupp_sum_apply /- _inst_4: add_monoid ↝ add_zero_class | |
| -/ | |
| #print monoid_hom.dfinsupp_prod_apply /- _inst_4: monoid ↝ mul_one_class | |
| -/ | |
| -- data/equiv/encodable/basic.lean | |
| #print directed.le_sequence /- _inst_3: preorder ↝ has_le | |
| -/ | |
| -- data/equiv/ring.lean | |
| #print ring_equiv.map_zero /- _inst_1: non_unital_non_assoc_semiring ↝ add_zero_class has_mul | |
| _inst_2: non_unital_non_assoc_semiring ↝ add_zero_class has_mul | |
| -/ | |
| #print ring_equiv.map_eq_zero_iff /- _inst_1: non_unital_non_assoc_semiring ↝ add_zero_class has_mul | |
| _inst_2: non_unital_non_assoc_semiring ↝ add_zero_class has_mul | |
| -/ | |
| #print ring_equiv.map_ne_zero_iff /- _inst_1: non_unital_non_assoc_semiring ↝ add_zero_class has_mul | |
| _inst_2: non_unital_non_assoc_semiring ↝ add_zero_class has_mul | |
| -/ | |
| #print ring_equiv.map_one /- _inst_1: non_assoc_semiring ↝ has_add mul_one_class | |
| _inst_2: non_assoc_semiring ↝ has_add mul_one_class | |
| -/ | |
| #print ring_equiv.map_eq_one_iff /- _inst_1: non_assoc_semiring ↝ has_add mul_one_class | |
| _inst_2: non_assoc_semiring ↝ has_add mul_one_class | |
| -/ | |
| #print ring_equiv.map_ne_one_iff /- _inst_1: non_assoc_semiring ↝ has_add mul_one_class | |
| _inst_2: non_assoc_semiring ↝ has_add mul_one_class | |
| -/ | |
| #print ring_equiv.map_neg /- _inst_1: ring ↝ add_group has_mul | |
| _inst_2: ring ↝ add_group has_mul | |
| -/ | |
| #print ring_equiv.map_sub /- _inst_1: ring ↝ add_group has_mul | |
| _inst_2: ring ↝ add_group has_mul | |
| -/ | |
| #print ring_equiv.to_equiv_commutes /- _inst_1: non_assoc_semiring ↝ has_add has_mul | |
| _inst_2: non_assoc_semiring ↝ has_add has_mul | |
| -/ | |
| -- data/equiv/transfer_instance.lean | |
| #print ring_equiv.local_ring /- _inst_1: comm_ring ↝ integral_domain | |
| -/ | |
| -- data/fin.lean | |
| #print fin.order_iso_subsingleton /- _inst_1: preorder ↝ has_le | |
| -/ | |
| -- data/fin_enum.lean | |
| #print fin_enum.mem_pi /- _inst_1: fin_enum ↝ decidable_eq | |
| -/ | |
| -- data/finset/lattice.lean | |
| #print finset.supr_option_to_finset /- _inst_1: complete_lattice ↝ has_Sup | |
| -/ | |
| -- data/finsupp/basic.lean | |
| #print ring_hom.map_finsupp_sum /- _inst_2: semiring ↝ non_assoc_semiring | |
| _inst_3: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print monoid_hom.coe_finsupp_prod /- _inst_2: monoid ↝ mul_one_class | |
| -/ | |
| #print add_monoid_hom.coe_finsupp_sum /- _inst_2: add_monoid ↝ add_zero_class | |
| -/ | |
| #print add_monoid_hom.finsupp_sum_apply /- _inst_2: add_monoid ↝ add_zero_class | |
| -/ | |
| #print monoid_hom.finsupp_prod_apply /- _inst_2: monoid ↝ mul_one_class | |
| -/ | |
| #print finsupp.prod_add_index /- _inst_1: add_comm_monoid ↝ add_zero_class | |
| -/ | |
| #print finsupp.sum_add_index /- _inst_1: add_comm_monoid ↝ add_zero_class | |
| -/ | |
| #print finsupp.prod_sum_index /- _inst_1: add_comm_monoid ↝ has_zero | |
| -/ | |
| #print finsupp.sum_sum_index /- _inst_1: add_comm_monoid ↝ has_zero | |
| -/ | |
| #print finsupp.eq_zero_of_comap_domain_eq_zero /- _inst_1: add_comm_monoid ↝ has_zero | |
| -/ | |
| #print finsupp.coe_smul /- _inst_2: distrib_mul_action ↝ has_scalar has_scalar | |
| -/ | |
| #print finsupp.smul_apply /- _inst_2: distrib_mul_action ↝ has_scalar has_scalar | |
| -/ | |
| #print finsupp.is_scalar_tower /- _inst_4: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_5: distrib_mul_action ↝ has_scalar has_scalar | |
| -/ | |
| #print finsupp.smul_comm_class /- _inst_4: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_5: distrib_mul_action ↝ has_scalar has_scalar | |
| -/ | |
| #print finsupp.distrib_mul_action_hom_ext /- _inst_1: semiring ↝ distrib_mul_action monoid no_meet_fake_name | |
| _inst_2: add_comm_monoid ↝ add_monoid distrib_mul_action no_meet_fake_name | |
| _inst_3: add_comm_monoid ↝ add_monoid | |
| _inst_4: distrib_mul_action ↝ distrib_mul_action no_meet_fake_name | |
| -/ | |
| -- data/finsupp/lattice.lean | |
| #print finsupp.bot_eq_zero /- _inst_3: canonically_linear_ordered_add_monoid ↝ canonically_ordered_add_monoid | |
| -/ | |
| -- data/fintype/basic.lean | |
| #print fintype.card_unique /- _inst_1: unique ↝ inhabited subsingleton | |
| -/ | |
| #print fintype.univ_of_is_empty /- _inst_1: is_empty ↝ fintype | |
| -/ | |
| #print fintype.card_of_is_empty /- _inst_1: is_empty ↝ fintype | |
| -/ | |
| #print unique.fintype /- _inst_1: unique ↝ inhabited subsingleton | |
| -/ | |
| #print univ_unique /- _inst_1: unique ↝ fintype inhabited | |
| -/ | |
| #print fintype.preorder.well_founded /- _inst_2: preorder ↝ has_lt is_irrefl is_trans | |
| -/ | |
| #print fintype.linear_order.is_well_order /- _inst_2: linear_order ↝ is_trichotomous preorder | |
| -/ | |
| #print infinite.nonempty /- _inst_1: infinite ↝ nonempty | |
| -/ | |
| -- data/fp/basic.lean | |
| #print fp.div_nat_lt_two_pow /- C: fp.float_cfg ↝ | |
| -/ | |
| -- data/holor.lean | |
| #print holor.zero_mul /- _inst_1: ring ↝ mul_zero_class | |
| -/ | |
| #print holor.mul_zero /- _inst_1: ring ↝ mul_zero_class | |
| -/ | |
| #print holor.mul_scalar_mul /- _inst_1: monoid ↝ has_mul | |
| -/ | |
| #print holor.unit_vec /- _inst_1: monoid ↝ has_one | |
| _inst_2: add_monoid ↝ has_zero | |
| -/ | |
| #print holor.slice_unit_vec_mul /- _inst_1: ring ↝ semiring | |
| -/ | |
| #print holor.cprank_max_nil /- _inst_1: monoid ↝ has_mul | |
| -/ | |
| #print holor.cprank_max_1 /- _inst_1: monoid ↝ has_mul | |
| -/ | |
| #print holor.cprank_max_sum /- _inst_1: ring ↝ semiring | |
| -/ | |
| -- data/int/cast.lean | |
| #print monoid_hom.ext_int /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print ring_hom.ext_int /- _inst_3: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- data/list/basic.lean | |
| #print list.prod_nil /- _inst_1: monoid ↝ has_mul has_one | |
| -/ | |
| #print list.sum_nil /- _inst_1: add_monoid ↝ has_add has_zero | |
| -/ | |
| #print list.prod_singleton /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print list.sum_singleton /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print list.prod_cons /- _inst_1: monoid ↝ is_associative mul_one_class | |
| -/ | |
| #print list.sum_cons /- _inst_1: add_monoid ↝ add_zero_class is_associative | |
| -/ | |
| #print list.sum_append /- _inst_1: add_monoid ↝ add_zero_class is_associative | |
| -/ | |
| #print list.prod_append /- _inst_1: monoid ↝ is_associative mul_one_class | |
| -/ | |
| #print list.prod_hom /- _inst_1: monoid ↝ mul_one_class | |
| _inst_2: monoid ↝ mul_one_class | |
| -/ | |
| #print list.sum_hom /- _inst_1: add_monoid ↝ add_zero_class | |
| _inst_2: add_monoid ↝ add_zero_class | |
| -/ | |
| #print list.one_le_prod_of_one_le /- _inst_1: ordered_comm_monoid ↝ covariant_class monoid preorder | |
| -/ | |
| #print list.sum_nonneg /- _inst_1: ordered_add_comm_monoid ↝ add_monoid covariant_class preorder | |
| -/ | |
| #print list.length_pos_of_sum_pos /- _inst_1: ordered_cancel_add_comm_monoid ↝ add_monoid preorder | |
| -/ | |
| #print list.dvd_sum /- _inst_1: comm_semiring ↝ semiring | |
| -/ | |
| #print list.exists_lt_of_sum_lt /- _inst_1: linear_ordered_cancel_add_comm_monoid ↝ add_monoid contravariant_class covariant_class linear_order | |
| -/ | |
| #print list.alternating_prod_nil /- _inst_1: comm_group ↝ has_inv has_mul has_one | |
| -/ | |
| #print list.alternating_sum_nil /- _inst_1: add_comm_group ↝ has_add has_neg has_zero | |
| -/ | |
| #print list.alternating_sum_singleton /- _inst_1: add_comm_group ↝ has_add has_neg has_zero | |
| -/ | |
| #print list.alternating_prod_singleton /- _inst_1: comm_group ↝ has_inv has_mul has_one | |
| -/ | |
| #print list.alternating_prod_cons_cons /- _inst_1: comm_group ↝ has_inv has_mul has_one | |
| -/ | |
| #print list.alternating_sum_cons_cons' /- _inst_1: add_comm_group ↝ has_add has_neg has_zero | |
| -/ | |
| #print list.alternating_sum_cons_cons /- _inst_2: add_comm_group ↝ sub_neg_monoid | |
| -/ | |
| #print list.lex.is_strict_total_order /- _inst_1: is_strict_total_order' ↝ is_asymm is_order_connected is_trichotomous | |
| -/ | |
| #print list.insert_nil /- _inst_1: decidable_eq ↝ has_insert | |
| -/ | |
| #print list.sum_map_mul_left /- _inst_1: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print list.sum_map_mul_right /- _inst_1: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| -- data/list/defs.lean | |
| #print list.mfoldl_with_index /- _inst_1: monad ↝ has_bind has_pure no_meet_fake_name | |
| -/ | |
| #print list.mfoldr_with_index /- _inst_1: monad ↝ has_bind has_pure no_meet_fake_name | |
| -/ | |
| -- data/list/forall2.lean | |
| #print list.rel_sum /- _inst_1: add_monoid ↝ has_add has_zero | |
| _inst_2: add_monoid ↝ has_add has_zero | |
| -/ | |
| #print list.rel_prod /- _inst_1: monoid ↝ has_mul has_one | |
| _inst_2: monoid ↝ has_mul has_one | |
| -/ | |
| -- data/list/func.lean | |
| #print list.func.get_add /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print list.func.nil_add /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print list.func.add_nil /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print list.func.nil_sub /- _inst_1: add_group ↝ sub_neg_monoid | |
| -/ | |
| -- data/list/nodup_equiv_fin.lean | |
| #print list.sorted.nth_le_strict_mono /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| -- data/list/perm.lean | |
| #print list.perm.sum_eq' /- _inst_1: add_monoid ↝ add_semigroup has_zero | |
| -/ | |
| #print list.perm.prod_eq' /- _inst_1: monoid ↝ has_one semigroup | |
| -/ | |
| #print list.perm.sum_eq /- _inst_1: add_comm_monoid ↝ has_add has_zero is_associative is_commutative | |
| -/ | |
| #print list.perm.prod_eq /- _inst_1: comm_monoid ↝ has_mul has_one is_associative is_commutative | |
| -/ | |
| -- data/list/zip.lean | |
| #print list.sum_zip_with_distrib_left /- _inst_1: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| -- data/matrix/basic.lean | |
| #print matrix /- _inst_1: fintype ↝ | |
| _inst_2: fintype ↝ | |
| -/ | |
| #print matrix.map_add /- _inst_7: add_monoid ↝ add_zero_class | |
| _inst_8: add_monoid ↝ add_zero_class | |
| -/ | |
| #print matrix.diagonal_add /- _inst_8: add_monoid ↝ add_zero_class | |
| -/ | |
| #print matrix.bit1_apply /- _inst_8: add_monoid ↝ add_zero_class | |
| -/ | |
| #print matrix.dot_product_comm /- _inst_7: comm_semiring ↝ add_comm_monoid comm_semigroup | |
| -/ | |
| #print matrix.ring_hom_map_one /- _inst_8: semiring ↝ non_assoc_semiring | |
| _inst_9: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print matrix.ring_equiv_map_one /- _inst_8: semiring ↝ non_assoc_semiring | |
| _inst_9: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print matrix.add_monoid_hom_map_zero /- _inst_7: add_monoid ↝ add_zero_class | |
| _inst_8: add_monoid ↝ add_zero_class | |
| -/ | |
| #print matrix.add_equiv_map_zero /- _inst_7: add_monoid ↝ add_zero_class | |
| _inst_8: add_monoid ↝ add_zero_class | |
| -/ | |
| #print matrix.ring_hom_map_zero /- _inst_7: semiring ↝ non_assoc_semiring | |
| _inst_8: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print matrix.ring_equiv_map_zero /- _inst_7: semiring ↝ non_unital_non_assoc_semiring | |
| _inst_8: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.smul_eq_diagonal_mul /- _inst_7: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.smul_mul /- _inst_7: semiring ↝ add_comm_monoid has_mul | |
| -/ | |
| #print matrix.mul_smul /- _inst_7: semiring ↝ add_comm_monoid has_mul | |
| -/ | |
| #print matrix.mul_mul_right /- _inst_7: comm_semiring ↝ distrib_mul_action no_meet_fake_name semiring smul_comm_class | |
| -/ | |
| #print matrix.scalar.commute /- _inst_7: comm_semiring ↝ distrib_mul_action no_meet_fake_name semiring smul_comm_class | |
| -/ | |
| #print matrix.vec_mul_vec_eq /- _inst_7: non_unital_non_assoc_semiring ↝ add_comm_monoid has_mul | |
| -/ | |
| #print matrix.std_basis_matrix /- _inst_7: semiring ↝ has_zero | |
| -/ | |
| #print matrix.mul_vec_smul_assoc /- _inst_7: comm_semiring ↝ distrib_mul_action no_meet_fake_name semiring smul_comm_class | |
| -/ | |
| #print matrix.transpose_smul /- _inst_7: semiring ↝ has_scalar | |
| -/ | |
| #print matrix.minor_smul /- _inst_9: module ↝ has_scalar | |
| -/ | |
| #print matrix.minor_mul /- _inst_7: semiring ↝ add_comm_monoid has_mul | |
| -/ | |
| #print matrix.row_vec_mul /- _inst_7: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.col_vec_mul /- _inst_7: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.col_mul_vec /- _inst_7: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.row_mul_vec /- _inst_7: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print ring_hom.map_matrix_mul /- _inst_7: semiring ↝ non_assoc_semiring | |
| _inst_8: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- data/matrix/block.lean | |
| #print matrix.from_blocks_smul /- _inst_7: semiring ↝ has_mul | |
| -/ | |
| #print matrix.from_blocks_add /- _inst_7: semiring ↝ has_add | |
| -/ | |
| #print matrix.from_blocks_multiply /- _inst_7: semiring ↝ add_comm_monoid has_mul | |
| -/ | |
| #print matrix.from_blocks_diagonal /- _inst_7: semiring ↝ has_zero | |
| -/ | |
| #print matrix.from_blocks_one /- _inst_7: semiring ↝ mul_zero_one_class | |
| -/ | |
| #print matrix.block_diagonal_add /- _inst_8: add_monoid ↝ add_zero_class | |
| -/ | |
| #print matrix.block_diagonal_mul /- _inst_9: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.block_diagonal_smul /- _inst_10: module ↝ distrib_mul_action has_scalar | |
| -/ | |
| #print matrix.block_diagonal'_add /- _inst_8: add_monoid ↝ add_zero_class | |
| -/ | |
| #print matrix.block_diagonal'_mul /- _inst_9: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.block_diagonal'_smul /- _inst_10: module ↝ distrib_mul_action has_scalar | |
| -/ | |
| -- data/matrix/char_p.lean | |
| #print matrix.char_p /- _inst_2: ring ↝ module semiring | |
| -/ | |
| -- data/matrix/dmatrix.lean | |
| #print dmatrix /- _inst_1: fintype ↝ | |
| _inst_2: fintype ↝ | |
| -/ | |
| -- data/matrix/notation.lean | |
| #print matrix.empty_mul /- _inst_4: semiring ↝ add_comm_monoid has_mul | |
| -/ | |
| #print matrix.empty_mul_empty /- _inst_4: semiring ↝ add_comm_monoid has_mul | |
| -/ | |
| #print matrix.mul_empty /- _inst_4: semiring ↝ add_comm_monoid has_mul | |
| -/ | |
| #print matrix.mul_val_succ /- _inst_4: semiring ↝ add_comm_monoid has_mul | |
| -/ | |
| #print matrix.empty_vec_mul /- _inst_4: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.vec_mul_empty /- _inst_4: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.cons_vec_mul /- _inst_4: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.vec_mul_cons /- _inst_4: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.empty_mul_vec /- _inst_4: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.mul_vec_empty /- _inst_4: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.cons_mul_vec /- _inst_4: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print matrix.empty_vec_mul_vec /- _inst_4: semiring ↝ has_mul | |
| -/ | |
| #print matrix.vec_mul_vec_empty /- _inst_4: semiring ↝ has_mul | |
| -/ | |
| #print matrix.cons_vec_mul_vec /- _inst_4: semiring ↝ has_mul | |
| -/ | |
| #print matrix.vec_mul_vec_cons /- _inst_4: semiring ↝ has_mul | |
| -/ | |
| #print matrix.smul_empty /- _inst_4: semiring ↝ has_scalar | |
| -/ | |
| #print matrix.smul_mat_empty /- _inst_4: semiring ↝ has_scalar | |
| -/ | |
| #print matrix.smul_cons /- _inst_4: semiring ↝ has_mul | |
| -/ | |
| #print matrix.smul_mat_cons /- _inst_4: semiring ↝ has_mul | |
| -/ | |
| -- data/matrix/pequiv.lean | |
| #print pequiv.mul_matrix_apply /- _inst_6: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print pequiv.matrix_mul_apply /- _inst_5: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print pequiv.to_matrix_injective /- _inst_6: monoid_with_zero ↝ mul_zero_one_class | |
| -/ | |
| -- data/multiset/basic.lean | |
| #print multiset.sum_map_mul_left /- _inst_1: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print multiset.sum_map_mul_right /- _inst_1: semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print multiset.prod_map_inv /- _inst_1: comm_group ↝ comm_monoid has_inv is_group_hom is_monoid_hom no_meet_fake_name | |
| -/ | |
| #print multiset.sum_map_neg /- _inst_1: add_comm_group ↝ add_comm_monoid has_neg is_add_group_hom is_add_monoid_hom no_meet_fake_name | |
| -/ | |
| #print multiset.le_prod_of_submultiplicative_on_pred /- _inst_2: ordered_comm_monoid ↝ comm_monoid covariant_class preorder | |
| -/ | |
| #print multiset.le_sum_of_subadditive_on_pred /- _inst_2: ordered_add_comm_monoid ↝ add_comm_monoid covariant_class preorder | |
| -/ | |
| #print multiset.le_sum_nonempty_of_subadditive_on_pred /- _inst_2: ordered_add_comm_monoid ↝ add_comm_monoid covariant_class preorder | |
| -/ | |
| #print multiset.le_prod_nonempty_of_submultiplicative_on_pred /- _inst_2: ordered_comm_monoid ↝ comm_monoid covariant_class preorder | |
| -/ | |
| #print multiset.dvd_sum /- _inst_1: comm_semiring ↝ semiring | |
| -/ | |
| #print multiset.sum_le_sum_of_rel_le /- _inst_1: ordered_add_comm_monoid ↝ add_comm_monoid covariant_class covariant_class preorder | |
| -/ | |
| -- data/mv_polynomial/basic.lean | |
| #print mv_polynomial /- _inst_1: comm_semiring ↝ semiring | |
| -/ | |
| #print mv_polynomial.alg_hom_ext /- _inst_3: comm_semiring ↝ semiring | |
| -/ | |
| -- data/mv_polynomial/comm_ring.lean | |
| #print mv_polynomial.hom_C /- _inst_2: comm_ring ↝ ring | |
| -/ | |
| -- data/mv_polynomial/variables.lean | |
| #print mv_polynomial.vars_C_mul /- _inst_2: integral_domain ↝ comm_semiring no_zero_divisors | |
| -/ | |
| -- data/nat/cast.lean | |
| #print nat.cast_one /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print nat.commute_cast /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print add_monoid_hom.ext_nat /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print monoid_with_zero_hom.ext_nat /- _inst_1: monoid_with_zero ↝ mul_zero_one_class | |
| -/ | |
| -- data/nat/prime.lean | |
| #print nat.monoid.prime_pow /- _inst_1: monoid ↝ has_pow | |
| -/ | |
| -- data/num/lemmas.lean | |
| #print pos_num.cast_to_int /- _inst_1: add_group ↝ add_monoid has_neg | |
| -/ | |
| #print num.cast_to_int /- _inst_1: add_group ↝ add_monoid has_neg | |
| -/ | |
| #print pos_num.cast_mul /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print num.cast_add /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print num.cast_inj /- _inst_1: linear_ordered_semiring ↝ char_zero non_assoc_semiring | |
| -/ | |
| #print num.cast_of_znum /- _inst_1: add_group ↝ add_monoid | |
| -/ | |
| #print znum.cast_inj /- _inst_1: linear_ordered_ring ↝ char_zero ring | |
| -/ | |
| -- data/option/defs.lean | |
| #print option.melim /- _inst_1: monad ↝ has_bind no_meet_fake_name | |
| -/ | |
| -- data/ordmap/ordnode.lean | |
| #print ordnode.of_list /- _inst_2: decidable_rel ↝ has_insert | |
| -/ | |
| -- data/polynomial/algebra_map.lean | |
| #print polynomial.alg_hom_eval₂_algebra_map /- _inst_4: comm_ring ↝ comm_semiring | |
| _inst_5: ring ↝ semiring | |
| _inst_6: ring ↝ semiring | |
| -/ | |
| #print polynomial.eval₂_algebra_map_X /- _inst_4: comm_ring ↝ algebra comm_semiring | |
| _inst_5: ring ↝ semiring | |
| -/ | |
| #print polynomial.aeval_endomorphism /- _inst_1: comm_ring ↝ algebra algebra comm_semiring no_meet_fake_name | |
| _inst_2: add_comm_group ↝ add_comm_monoid algebra has_scalar no_meet_fake_name | |
| -/ | |
| -- data/polynomial/basic.lean | |
| #print polynomial.add_hom_ext /- _inst_2: add_monoid ↝ add_zero_class | |
| -/ | |
| -- data/polynomial/cancel_leads.lean | |
| #print polynomial.cancel_leads /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| -- data/polynomial/degree/definitions.lean | |
| #print polynomial.degree_X_add_C /- _inst_2: ring ↝ semiring | |
| -/ | |
| -- data/polynomial/denoms_clearable.lean | |
| #print denoms_clearable /- _inst_2: comm_semiring ↝ semiring | |
| -/ | |
| -- data/polynomial/derivative.lean | |
| #print polynomial.of_mem_support_derivative /- _inst_1: comm_semiring ↝ semiring | |
| -/ | |
| #print polynomial.derivative_cast_nat /- _inst_1: comm_semiring ↝ semiring | |
| -/ | |
| #print polynomial.mem_support_derivative /- _inst_1: integral_domain ↝ no_zero_divisors semiring | |
| -/ | |
| #print polynomial.nat_degree_eq_zero_of_derivative_eq_zero /- _inst_1: integral_domain ↝ no_zero_divisors semiring | |
| -/ | |
| -- data/polynomial/eval.lean | |
| #print polynomial.eval₂ /- _inst_2: semiring ↝ has_pow non_assoc_semiring | |
| -/ | |
| #print polynomial.eval₂_eq_sum_range /- _inst_2: comm_semiring ↝ semiring | |
| -/ | |
| #print polynomial.eval₂_eq_sum_range' /- _inst_2: comm_semiring ↝ semiring | |
| -/ | |
| #print polynomial.eval₂_comp /- _inst_1: comm_semiring ↝ semiring | |
| -/ | |
| #print polynomial.support_map_subset /- _inst_1: comm_semiring ↝ semiring | |
| _inst_2: comm_semiring ↝ semiring | |
| -/ | |
| #print polynomial.eval₂.is_ring_hom /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| -- data/polynomial/field_division.lean | |
| #print polynomial.degree_pos_of_ne_zero_of_nonunit /- _inst_1: field ↝ division_ring | |
| -/ | |
| #print polynomial.monic_mul_leading_coeff_inv /- _inst_1: field ↝ division_ring no_zero_divisors | |
| -/ | |
| #print polynomial.degree_mul_leading_coeff_inv /- _inst_1: field ↝ division_ring no_zero_divisors | |
| -/ | |
| #print polynomial.div /- _inst_1: field ↝ has_inv ring | |
| -/ | |
| #print polynomial.mod /- _inst_1: field ↝ has_inv ring | |
| -/ | |
| #print polynomial.degree_map /- _inst_1: field ↝ division_ring | |
| _inst_2: field ↝ domain | |
| -/ | |
| #print polynomial.map_eq_zero /- _inst_1: field ↝ division_ring | |
| -/ | |
| #print polynomial.mem_roots_map /- _inst_2: field ↝ integral_domain | |
| -/ | |
| #print polynomial.prod_multiset_root_eq_finset_root /- _inst_1: field ↝ integral_domain | |
| -/ | |
| #print polynomial.roots_C_mul /- _inst_1: field ↝ integral_domain | |
| -/ | |
| -- data/polynomial/integral_normalization.lean | |
| #print polynomial.support_integral_normalization /- _inst_1: integral_domain ↝ domain no_zero_divisors | |
| -/ | |
| #print polynomial.integral_normalization_eval₂_eq_zero /- _inst_2: comm_ring ↝ comm_semiring | |
| -/ | |
| -- data/polynomial/lifts.lean | |
| #print polynomial.map_alg /- _inst_6: algebra ↝ algebra | |
| -/ | |
| -- data/polynomial/monic.lean | |
| #print polynomial.leading_coeff_of_injective /- _inst_1: ring ↝ semiring | |
| -/ | |
| -- data/polynomial/reverse.lean | |
| #print polynomial.reverse_mul_of_domain /- _inst_2: domain ↝ no_zero_divisors semiring | |
| -/ | |
| #print polynomial.trailing_coeff_mul /- _inst_2: integral_domain ↝ domain | |
| -/ | |
| -- data/polynomial/ring_division.lean | |
| #print polynomial.nat_degree_pos_of_aeval_root /- _inst_1: comm_ring ↝ algebra comm_semiring | |
| _inst_2: comm_ring ↝ semiring | |
| -/ | |
| #print polynomial.no_zero_divisors /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| #print polynomial.root_mul /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print polynomial.degree_le_mul_left /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| #print polynomial.root_multiplicity_zero /- _inst_1: integral_domain ↝ comm_ring | |
| -/ | |
| #print polynomial.root_multiplicity_eq_zero /- _inst_1: integral_domain ↝ comm_ring | |
| -/ | |
| #print polynomial.root_multiplicity_pos /- _inst_1: integral_domain ↝ comm_ring | |
| -/ | |
| #print polynomial.root_set /- _inst_1: integral_domain ↝ comm_semiring | |
| -/ | |
| #print polynomial.monic.irreducible_of_irreducible_map /- _inst_1: integral_domain ↝ comm_ring no_zero_divisors | |
| -/ | |
| #print is_integral_domain.polynomial /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| -- data/rat/cast.lean | |
| #print rat.cast_coe /- _inst_1: division_ring ↝ has_add has_div has_neg mul_zero_one_class | |
| -/ | |
| -- data/real/cau_seq.lean | |
| #print is_absolute_value.abv_inv /- _inst_4: field ↝ division_ring | |
| -/ | |
| #print is_absolute_value.abv_div /- _inst_4: field ↝ division_ring | |
| -/ | |
| #print is_cau_seq /- _inst_1: linear_ordered_field ↝ has_lt has_zero | |
| _inst_2: ring ↝ has_sub | |
| -/ | |
| #print cau_seq.one_not_equiv_zero /- _inst_2: integral_domain ↝ domain | |
| -/ | |
| -- data/real/cau_seq_completion.lean | |
| #print cau_seq.completion.Cauchy /- _inst_2: comm_ring ↝ ring | |
| -/ | |
| #print cau_seq.completion.cau_seq_zero_ne_one /- _inst_2: field ↝ domain | |
| -/ | |
| -- data/set/function.lean | |
| #print strict_mono_incr_on.comp /- _inst_1: preorder ↝ has_lt | |
| _inst_2: preorder ↝ has_lt | |
| _inst_3: preorder ↝ has_lt | |
| -/ | |
| #print strict_mono.comp_strict_mono_incr_on /- _inst_1: preorder ↝ has_lt | |
| _inst_2: preorder ↝ has_lt | |
| _inst_3: preorder ↝ has_lt | |
| -/ | |
| #print strict_mono.cod_restrict /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| -- data/set/intervals/basic.lean | |
| #print set.Ioo /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| #print set.Ico /- _inst_1: preorder ↝ has_le has_lt | |
| -/ | |
| #print set.Iio /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| #print set.Icc /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print set.Iic /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print set.Ioc /- _inst_1: preorder ↝ has_le has_lt | |
| -/ | |
| #print set.Ici /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print set.Ioi /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| #print set.Icc_bot_top /- _inst_1: bounded_lattice ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print set.Iic_inter_Ioc_of_le /- _inst_1: linear_order ↝ preorder | |
| -/ | |
| #print set.inv_mem_Icc_iff /- _inst_1: ordered_comm_group ↝ covariant_class covariant_class group preorder | |
| -/ | |
| #print set.neg_mem_Icc_iff /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.inv_mem_Ico_iff /- _inst_1: ordered_comm_group ↝ covariant_class covariant_class covariant_class covariant_class group preorder | |
| -/ | |
| #print set.neg_mem_Ico_iff /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class covariant_class covariant_class preorder | |
| -/ | |
| #print set.neg_mem_Ioc_iff /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class covariant_class covariant_class preorder | |
| -/ | |
| #print set.inv_mem_Ioc_iff /- _inst_1: ordered_comm_group ↝ covariant_class covariant_class covariant_class covariant_class group preorder | |
| -/ | |
| #print set.neg_mem_Ioo_iff /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.inv_mem_Ioo_iff /- _inst_1: ordered_comm_group ↝ covariant_class covariant_class group preorder | |
| -/ | |
| #print set.add_mem_Icc_iff_left /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class preorder | |
| -/ | |
| #print set.add_mem_Ico_iff_left /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.add_mem_Ioc_iff_left /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.add_mem_Ioo_iff_left /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class preorder | |
| -/ | |
| #print set.add_mem_Icc_iff_right /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| #print set.add_mem_Ico_iff_right /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.add_mem_Ioc_iff_right /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.add_mem_Ioo_iff_right /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| #print set.sub_mem_Icc_iff_left /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class preorder | |
| -/ | |
| #print set.sub_mem_Ico_iff_left /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.sub_mem_Ioc_iff_left /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.sub_mem_Ioo_iff_left /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class preorder | |
| -/ | |
| #print set.sub_mem_Icc_iff_right /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| #print set.sub_mem_Ico_iff_right /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.sub_mem_Ioc_iff_right /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.sub_mem_Ioo_iff_right /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| #print set.mem_Icc_iff_abs_le /- _inst_2: linear_ordered_add_comm_group ↝ add_comm_group covariant_class linear_order | |
| -/ | |
| #print set.nonempty_Ico_sdiff /- _inst_1: linear_ordered_add_comm_group ↝ add_zero_class contravariant_class contravariant_class contravariant_class covariant_class covariant_class covariant_class linear_order | |
| -/ | |
| -- data/set/intervals/image_preimage.lean | |
| #print set.preimage_const_add_Ici /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| #print set.preimage_const_add_Ioi /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| #print set.preimage_const_add_Iic /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| #print set.preimage_const_add_Iio /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| #print set.preimage_add_const_Ici /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class preorder | |
| -/ | |
| #print set.preimage_add_const_Ioi /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class preorder | |
| -/ | |
| #print set.preimage_add_const_Iic /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class preorder | |
| -/ | |
| #print set.preimage_add_const_Iio /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class preorder | |
| -/ | |
| #print set.preimage_neg_Ici /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.preimage_neg_Iic /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.preimage_neg_Ioi /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.preimage_neg_Iio /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print set.preimage_const_sub_Ici /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| #print set.preimage_const_sub_Iic /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| #print set.preimage_const_sub_Ioi /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| #print set.preimage_const_sub_Iio /- _inst_1: ordered_add_comm_group ↝ add_comm_group covariant_class preorder | |
| -/ | |
| -- data/set/intervals/surj_on.lean | |
| #print surj_on_Ioo_of_monotone_surjective /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| #print surj_on_Ioi_of_monotone_surjective /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| -- data/set/intervals/unordered_interval.lean | |
| #print set.abs_sub_le_of_subinterval /- _inst_1: linear_ordered_add_comm_group ↝ add_comm_group covariant_class covariant_class linear_order | |
| -/ | |
| -- data/set_like.lean | |
| #print set_like.has_mem /- i: set_like ↝ has_coe_t | |
| -/ | |
| #print set_like.has_coe_to_sort /- i: set_like ↝ has_mem | |
| -/ | |
| #print set_like.coe_sort_coe /- i: set_like ↝ has_coe_t has_coe_to_sort | |
| -/ | |
| #print set_like.exists /- i: set_like ↝ has_coe_t has_coe_to_sort has_mem | |
| -/ | |
| #print set_like.forall /- i: set_like ↝ has_coe_t has_coe_to_sort has_mem | |
| -/ | |
| #print set_like.mem_coe /- i: set_like ↝ has_coe_t has_mem | |
| -/ | |
| #print set_like.coe_eq_coe /- i: set_like ↝ has_coe_to_sort has_mem | |
| -/ | |
| #print set_like.coe_mk /- i: set_like ↝ has_mem | |
| -/ | |
| #print set_like.coe_mem /- i: set_like ↝ has_coe_to_sort has_mem | |
| -/ | |
| #print set_like.eta /- i: set_like ↝ has_coe_to_sort has_mem | |
| -/ | |
| #print set_like.le_def /- i: set_like ↝ has_le has_mem | |
| -/ | |
| #print set_like.coe_subset_coe /- i: set_like ↝ has_coe_t has_le | |
| -/ | |
| #print set_like.coe_ssubset_coe /- i: set_like ↝ has_coe_t has_lt | |
| -/ | |
| #print set_like.not_le_iff_exists /- i: set_like ↝ has_coe_t has_le has_mem | |
| -/ | |
| #print set_like.exists_of_lt /- i: set_like ↝ has_coe_t has_lt has_mem | |
| -/ | |
| -- data/vector2.lean | |
| #print vector.traverse_def /- _inst_3: is_lawful_applicative ↝ | |
| -/ | |
| -- data/zmod/basic.lean | |
| #print zmod.nat_cast_comp_val /- _inst_1: ring ↝ has_add has_neg mul_zero_one_class | |
| -/ | |
| #print zmod.int_cast_comp_cast /- _inst_1: ring ↝ has_add has_neg mul_zero_one_class | |
| -/ | |
| #print zmod.cast_one /- _inst_1: ring ↝ has_neg non_assoc_semiring subsingleton | |
| -/ | |
| #print zmod.ring_hom_eq_of_ker_eq /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| -- deprecated/group.lean | |
| #print is_add_hom.add /- _inst_4: add_semigroup ↝ has_add | |
| -/ | |
| #print is_mul_hom.mul /- _inst_4: semigroup ↝ has_mul | |
| -/ | |
| #print add_equiv.is_add_hom /- _inst_1: add_zero_class ↝ has_add | |
| _inst_2: add_zero_class ↝ has_add | |
| -/ | |
| #print mul_equiv.is_mul_hom /- _inst_1: mul_one_class ↝ has_mul | |
| _inst_2: mul_one_class ↝ has_mul | |
| -/ | |
| #print is_add_monoid_hom.map_add /- _inst_3: is_add_monoid_hom ↝ is_add_hom | |
| -/ | |
| #print is_monoid_hom.map_mul /- _inst_3: is_monoid_hom ↝ is_mul_hom | |
| -/ | |
| #print is_monoid_hom.of_mul /- _inst_2: group ↝ left_cancel_monoid | |
| -/ | |
| #print is_add_monoid_hom.of_add /- _inst_2: add_group ↝ add_left_cancel_monoid | |
| -/ | |
| #print is_group_hom.to_is_monoid_hom /- _inst_3: is_group_hom ↝ is_mul_hom | |
| -/ | |
| #print is_add_group_hom.to_is_add_monoid_hom /- _inst_3: is_add_group_hom ↝ is_add_hom | |
| -/ | |
| #print is_group_hom.map_one /- _inst_3: is_group_hom ↝ is_monoid_hom no_meet_fake_name | |
| -/ | |
| #print is_add_group_hom.map_zero /- _inst_3: is_add_group_hom ↝ is_add_monoid_hom no_meet_fake_name | |
| -/ | |
| #print is_group_hom.comp /- _inst_3: is_group_hom ↝ is_mul_hom | |
| _inst_5: is_group_hom ↝ is_mul_hom | |
| -/ | |
| #print is_add_group_hom.comp /- _inst_3: is_add_group_hom ↝ is_add_hom | |
| _inst_5: is_add_group_hom ↝ is_add_hom | |
| -/ | |
| #print is_add_group_hom.add /- _inst_5: add_comm_group ↝ add_group is_add_hom no_meet_fake_name | |
| _inst_6: is_add_group_hom ↝ is_add_hom no_meet_fake_name | |
| _inst_7: is_add_group_hom ↝ is_add_hom no_meet_fake_name | |
| -/ | |
| #print is_group_hom.mul /- _inst_5: comm_group ↝ group is_mul_hom no_meet_fake_name | |
| _inst_6: is_group_hom ↝ is_mul_hom no_meet_fake_name | |
| _inst_7: is_group_hom ↝ is_mul_hom no_meet_fake_name | |
| -/ | |
| #print is_group_hom.inv /- _inst_5: comm_group ↝ group is_mul_hom no_meet_fake_name | |
| _inst_6: is_group_hom ↝ is_mul_hom no_meet_fake_name | |
| -/ | |
| #print is_add_group_hom.neg /- _inst_5: add_comm_group ↝ add_group is_add_hom no_meet_fake_name | |
| _inst_6: is_add_group_hom ↝ is_add_hom no_meet_fake_name | |
| -/ | |
| #print is_add_group_hom.sub /- _inst_2: add_comm_group ↝ add_group is_add_group_hom is_add_group_hom no_meet_fake_name | |
| _inst_4: is_add_group_hom ↝ is_add_group_hom no_meet_fake_name | |
| -/ | |
| #print additive.is_add_group_hom /- _inst_3: is_group_hom ↝ is_mul_hom | |
| -/ | |
| #print multiplicative.is_group_hom /- _inst_3: is_add_group_hom ↝ is_add_hom | |
| -/ | |
| -- deprecated/ring.lean | |
| #print is_ring_hom.is_add_group_hom /- _inst_3: is_ring_hom ↝ is_add_hom | |
| -/ | |
| -- deprecated/subfield.lean | |
| #print range.is_subfield /- _inst_1: field ↝ is_subfield is_subfield no_meet_fake_name non_assoc_semiring | |
| -/ | |
| #print field.closure /- _inst_1: field ↝ has_div ring | |
| -/ | |
| -- deprecated/subgroup.lean | |
| #print gpowers /- _inst_1: group ↝ has_pow | |
| -/ | |
| #print gmultiples /- _inst_2: add_group ↝ sub_neg_monoid | |
| -/ | |
| #print is_subgroup.trivial /- _inst_2: group ↝ has_one | |
| -/ | |
| #print is_add_subgroup.trivial /- _inst_2: add_group ↝ has_zero | |
| -/ | |
| #print is_subgroup.eq_trivial_iff /- _inst_2: is_subgroup ↝ is_submonoid | |
| -/ | |
| #print is_add_subgroup.eq_trivial_iff /- _inst_2: is_add_subgroup ↝ is_add_submonoid | |
| -/ | |
| #print is_subgroup.center /- _inst_2: group ↝ has_mul | |
| -/ | |
| #print is_add_subgroup.add_center /- _inst_2: add_group ↝ has_add | |
| -/ | |
| #print is_subgroup.normalizer /- _inst_1: group ↝ has_inv has_mul | |
| -/ | |
| #print is_add_subgroup.add_normalizer /- _inst_1: add_group ↝ has_add has_neg | |
| -/ | |
| #print is_group_hom.range_subgroup /- _inst_3: is_group_hom ↝ is_subgroup no_meet_fake_name | |
| -/ | |
| #print is_add_group_hom.range_add_subgroup /- _inst_3: is_add_group_hom ↝ is_add_subgroup no_meet_fake_name | |
| -/ | |
| #print is_group_hom.normal_subgroup_ker /- _inst_3: is_group_hom ↝ no_meet_fake_name normal_subgroup | |
| -/ | |
| #print is_add_group_hom.normal_add_subgroup_ker /- _inst_3: is_add_group_hom ↝ no_meet_fake_name normal_add_subgroup | |
| -/ | |
| #print subtype_mk.is_add_group_hom /- _inst_4: is_add_group_hom ↝ is_add_monoid_hom no_meet_fake_name | |
| -/ | |
| #print subtype_mk.is_group_hom /- _inst_4: is_group_hom ↝ is_monoid_hom no_meet_fake_name | |
| -/ | |
| -- deprecated/submonoid.lean | |
| #print powers /- _inst_1: monoid ↝ has_pow | |
| -/ | |
| #print range.is_add_submonoid /- _inst_1: add_monoid ↝ add_zero_class is_add_submonoid is_add_submonoid no_meet_fake_name | |
| _inst_4: is_add_monoid_hom ↝ is_add_submonoid no_meet_fake_name | |
| -/ | |
| #print range.is_submonoid /- _inst_1: monoid ↝ is_submonoid is_submonoid mul_one_class no_meet_fake_name | |
| _inst_4: is_monoid_hom ↝ is_submonoid no_meet_fake_name | |
| -/ | |
| #print subtype_mk.is_add_monoid_hom /- _inst_3: add_monoid ↝ add_zero_class | |
| -/ | |
| #print subtype_mk.is_monoid_hom /- _inst_3: monoid ↝ mul_one_class | |
| -/ | |
| -- deprecated/subring.lean | |
| #print ring_hom.is_subring_preimage /- _inst_4: is_subring ↝ is_add_subgroup is_submonoid | |
| -/ | |
| #print ring_hom.is_subring_image /- _inst_4: is_subring ↝ is_add_subgroup is_submonoid | |
| -/ | |
| #print ring_hom.is_subring_set_range /- _inst_2: ring ↝ is_add_group_hom is_add_subgroup is_monoid_hom is_submonoid no_meet_fake_name non_assoc_semiring | |
| -/ | |
| #print is_subring.inter /- _inst_3: is_subring ↝ is_add_subgroup is_submonoid no_meet_fake_name | |
| _inst_4: is_subring ↝ is_add_subgroup is_submonoid no_meet_fake_name | |
| -/ | |
| #print ring.closure_subset /- _inst_3: is_subring ↝ is_add_subgroup is_submonoid | |
| -/ | |
| #print ring.closure_subset_iff /- _inst_3: is_subring ↝ is_add_subgroup is_submonoid | |
| -/ | |
| -- dynamics/flow.lean | |
| #print is_fw_invariant /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print flow.is_invariant_iff_image_eq /- _inst_1: add_comm_group ↝ add_group has_continuous_add | |
| _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| -- dynamics/omega_limit.lean | |
| #print flow.omega_limit_image_eq /- _inst_2: add_comm_group ↝ add_group has_continuous_add | |
| _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print flow.omega_limit_omega_limit /- _inst_2: add_comm_group ↝ add_group has_continuous_add | |
| _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| -- field_theory/adjoin.lean | |
| #print intermediate_field.lifts /- _inst_3: field ↝ semiring | |
| -/ | |
| -- field_theory/algebraic_closure.lean | |
| #print algebraic_closure.monic_irreducible /- _inst_1: field ↝ ring | |
| -/ | |
| -- field_theory/finite/basic.lean | |
| #print finite_field.card_units /- _inst_1: field ↝ division_ring | |
| -/ | |
| #print finite_field.prod_univ_units_id_eq_neg_one /- _inst_1: field ↝ integral_domain | |
| -/ | |
| #print finite_field.card /- _inst_1: field ↝ domain no_zero_divisors | |
| -/ | |
| #print char_p.sq_add_sq /- _inst_4: integral_domain ↝ domain no_zero_divisors | |
| -/ | |
| -- field_theory/finite/polynomial.lean | |
| #print mv_polynomial.indicator /- _inst_1: field ↝ integral_domain | |
| -/ | |
| #print mv_polynomial.evalₗ /- _inst_2: fintype ↝ | |
| _inst_3: fintype ↝ | |
| -/ | |
| #print mv_polynomial.R /- _inst_1: fintype ↝ | |
| _inst_2: field ↝ comm_ring module | |
| -/ | |
| -- field_theory/fixed.lean | |
| #print fixed_by.is_subfield /- _inst_1: group ↝ distrib_mul_action monoid | |
| -/ | |
| #print fixed_points.mul_action.fixed_points.is_subfield /- _inst_1: group ↝ is_subfield monoid no_meet_fake_name | |
| _inst_3: mul_semiring_action ↝ is_subfield mul_action no_meet_fake_name | |
| -/ | |
| #print fixed_points.mul_action.fixed_points.is_invariant_subring /- _inst_1: group ↝ is_subfield monoid no_meet_fake_name | |
| _inst_2: field ↝ is_subfield is_subring no_meet_fake_name ring | |
| -/ | |
| #print fixed_points.smul /- _inst_1: group ↝ distrib_mul_action is_invariant_subring is_subfield monoid mul_semiring_action no_meet_fake_name | |
| _inst_2: field ↝ is_invariant_subring is_subfield is_subring mul_semiring_action no_meet_fake_name ring | |
| _inst_3: mul_semiring_action ↝ is_invariant_subring is_subfield mul_action mul_semiring_action no_meet_fake_name | |
| -/ | |
| #print linear_independent_to_linear_map /- _inst_5: integral_domain ↝ module module no_meet_fake_name semiring | |
| _inst_7: integral_domain ↝ comm_ring module module no_meet_fake_name no_zero_divisors | |
| -/ | |
| #print cardinal_mk_alg_hom /- _inst_5: field ↝ finite_dimensional integral_domain module module no_meet_fake_name | |
| _inst_7: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| _inst_10: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| -- field_theory/galois.lean | |
| #print is_galois.integral /- _inst_4: is_galois ↝ normal | |
| -/ | |
| #print is_galois.splits /- _inst_4: is_galois ↝ normal | |
| -/ | |
| #print is_galois.tower_top_of_is_galois /- _inst_10: is_galois ↝ is_separable no_meet_fake_name normal | |
| -/ | |
| #print is_galois.of_alg_equiv /- h: is_galois ↝ is_separable no_meet_fake_name normal | |
| -/ | |
| -- field_theory/intermediate_field.lean | |
| #print intermediate_field.finite_dimensional_left /- _inst_6: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| #print intermediate_field.eq_of_le_of_finrank_le /- _inst_6: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| -- field_theory/minpoly.lean | |
| #print minpoly.nat_degree_pos /- _inst_1: integral_domain ↝ algebra comm_ring | |
| -/ | |
| #print minpoly.aeval_ne_zero_of_dvd_not_unit_minpoly /- _inst_2: domain ↝ ring | |
| -/ | |
| #print minpoly.dvd_map_of_is_scalar_tower /- _inst_6: comm_ring ↝ ring | |
| -/ | |
| #print minpoly.gcd_domain_eq_field_fractions /- _inst_7: integral_domain ↝ domain | |
| -/ | |
| #print minpoly.root /- _inst_1: field ↝ algebra integral_domain | |
| -/ | |
| -- field_theory/perfect_closure.lean | |
| #print perfect_closure.eq_iff /- _inst_1: integral_domain ↝ comm_ring no_zero_divisors | |
| -/ | |
| -- field_theory/primitive_element.lean | |
| #print field.primitive_element_inf_aux_exists_c /- _inst_1: field ↝ division_ring | |
| _inst_3: field ↝ has_div integral_domain | |
| -/ | |
| -- field_theory/separable.lean | |
| #print polynomial.contract /- _inst_1: field ↝ ring | |
| -/ | |
| #print polynomial.of_irreducible_expand /- _inst_1: field ↝ algebra integral_domain | |
| -/ | |
| #print polynomial.expand_char /- _inst_1: field ↝ algebra comm_ring | |
| -/ | |
| #print polynomial.is_unit_or_eq_zero_of_separable_expand /- _inst_1: field ↝ algebra integral_domain | |
| -/ | |
| #print polynomial.not_unit_X_sub_C /- _inst_1: field ↝ integral_domain | |
| -/ | |
| #print polynomial.multiplicity_le_one_of_separable /- _inst_1: field ↝ comm_ring | |
| -/ | |
| -- field_theory/splitting_field.lean | |
| #print polynomial.splits /- _inst_1: field ↝ semiring | |
| _inst_2: field ↝ ring | |
| -/ | |
| #print polynomial.roots_map /- _inst_2: field ↝ integral_domain | |
| -/ | |
| #print lift_of_splits /- _inst_3: field ↝ algebra integral_domain is_scalar_tower module module no_meet_fake_name | |
| -/ | |
| #print polynomial.factor /- _inst_1: field ↝ ring | |
| -/ | |
| -- field_theory/subfield.lean | |
| #print ring_hom.restrict_field /- _inst_2: field ↝ non_assoc_semiring | |
| -/ | |
| #print ring_hom.eq_of_eq_on_subfield_top /- _inst_2: field ↝ non_assoc_semiring | |
| -/ | |
| -- field_theory/tower.lean | |
| #print dim_mul_dim' /- _inst_2: field ↝ division_ring module | |
| -/ | |
| #print finite_dimensional.right /- _inst_4: algebra ↝ has_scalar | |
| -/ | |
| #print finite_dimensional.linear_map' /- _inst_11: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| _inst_14: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| -- geometry/euclidean/basic.lean | |
| #print euclidean_geometry.cospherical /- _inst_2: metric_space ↝ has_dist | |
| -/ | |
| -- geometry/manifold/algebra/monoid.lean | |
| #print smooth_left_mul_one /- _inst_14: monoid ↝ mul_one_class | |
| -/ | |
| #print smooth_right_mul_one /- _inst_14: monoid ↝ mul_one_class | |
| -/ | |
| -- geometry/manifold/algebra/smooth_functions.lean | |
| #print smooth_map.has_zero /- _inst_15: add_monoid ↝ has_zero | |
| -/ | |
| #print smooth_map.has_one /- _inst_15: monoid ↝ has_one | |
| -/ | |
| -- geometry/manifold/algebra/structures.lean | |
| #print topological_semiring_of_smooth /- _inst_8: smooth_semiring ↝ has_smooth_add has_smooth_mul no_meet_fake_name | |
| -/ | |
| #print topological_ring_of_smooth /- _inst_8: smooth_ring ↝ has_smooth_mul lie_add_group no_meet_fake_name | |
| -/ | |
| -- geometry/manifold/basic_smooth_bundle.lean | |
| #print tangent_space /- _inst_7: smooth_manifold_with_corners ↝ | |
| -/ | |
| -- geometry/manifold/diffeomorph.lean | |
| #print diffeomorph.smooth_manifold_with_corners_trans_diffeomorph /- _inst_17: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| -- geometry/manifold/instances/units_of_normed_algebra.lean | |
| #print units.chart_at_apply /- _inst_1: normed_ring ↝ charted_space monoid uniform_space | |
| _inst_2: complete_space ↝ charted_space | |
| -/ | |
| #print units.chart_at_source /- _inst_1: normed_ring ↝ charted_space monoid uniform_space | |
| _inst_2: complete_space ↝ charted_space | |
| -/ | |
| #print units.smooth_manifold_with_corners /- _inst_4: normed_algebra ↝ no_meet_fake_name normed_space | |
| -/ | |
| -- geometry/manifold/mfderiv.lean | |
| #print mdifferentiable_at_atlas /- _inst_7: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| #print mdifferentiable_at_atlas_symm /- _inst_7: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| -- geometry/manifold/smooth_manifold_with_corners.lean | |
| #print smooth_manifold_with_corners.mem_maximal_atlas_of_mem_atlas /- _inst_7: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| #print smooth_manifold_with_corners.chart_mem_maximal_atlas /- _inst_7: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| #print smooth_manifold_with_corners.prod /- _inst_16: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| _inst_19: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| #print topological_space.opens.smooth_manifold_with_corners /- _inst_7: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| -- geometry/manifold/times_cont_mdiff.lean | |
| #print times_cont_mdiff_within_at_iff' /- Is: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| I's: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| #print times_cont_mdiff_on_iff /- Is: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| I's: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| #print times_cont_mdiff_within_at_iff_times_cont_mdiff_on_nhds /- Is: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| I's: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| #print times_cont_mdiff_on_of_mem_maximal_atlas /- Is: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| #print times_cont_mdiff_on_symm_of_mem_maximal_atlas /- Is: smooth_manifold_with_corners ↝ has_groupoid no_meet_fake_name | |
| -/ | |
| -- group_theory/abelianization.lean | |
| #print abelianization.hom_ext /- _inst_2: monoid ↝ mul_one_class | |
| -/ | |
| -- group_theory/congruence.lean | |
| #print con.quotient.inhabited /- _inst_1: mul_one_class ↝ has_coe_t has_mul has_one no_meet_fake_name | |
| -/ | |
| #print add_con.quotient.inhabited /- _inst_1: add_zero_class ↝ has_add has_coe_t has_zero no_meet_fake_name | |
| -/ | |
| -- group_theory/coset.lean | |
| #print one_left_coset /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print zero_left_add_coset /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print right_coset_one /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print right_add_coset_zero /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print mem_own_left_add_coset /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print mem_own_left_coset /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print mem_own_right_add_coset /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| #print mem_own_right_coset /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print subgroup.card_eq_card_quotient_mul_card_subgroup /- _inst_4: decidable_pred ↝ decidable_rel no_meet_fake_name | |
| -/ | |
| -- group_theory/eckmann_hilton.lean | |
| #print eckmann_hilton.mul_one_class.is_unital /- G: mul_one_class ↝ has_mul has_one is_left_id is_right_id | |
| -/ | |
| #print eckmann_hilton.add_zero_class.is_unital /- G: add_zero_class ↝ has_add has_zero is_left_id is_right_id | |
| -/ | |
| -- group_theory/finiteness.lean | |
| #print submonoid.fg /- _inst_1: monoid ↝ mul_one_class | |
| -/ | |
| #print add_submonoid.fg /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| -- group_theory/free_group.lean | |
| #print free_group.lift.aux /- _inst_1: group ↝ has_inv has_mul has_one | |
| -/ | |
| -- group_theory/group_action/basic.lean | |
| #print mul_action.orbit /- _inst_2: mul_action ↝ has_scalar | |
| -/ | |
| #print mul_action.fixed_points /- _inst_2: mul_action ↝ has_scalar | |
| -/ | |
| #print mul_action.fixed_by /- _inst_2: mul_action ↝ has_scalar | |
| -/ | |
| -- group_theory/group_action/defs.lean | |
| #print ite_vadd /- _inst_2: add_action ↝ has_vadd | |
| -/ | |
| #print ite_smul /- _inst_2: mul_action ↝ has_scalar | |
| -/ | |
| #print vadd_ite /- _inst_2: add_action ↝ has_vadd | |
| -/ | |
| #print smul_ite /- _inst_2: mul_action ↝ has_scalar | |
| -/ | |
| #print mul_smul_comm /- _inst_2: mul_action ↝ has_scalar | |
| -/ | |
| #print add_vadd_comm /- _inst_2: add_action ↝ has_vadd | |
| -/ | |
| #print smul_mul_assoc /- _inst_2: mul_action ↝ has_scalar | |
| -/ | |
| -- group_theory/group_action/sub_mul_action.lean | |
| #print sub_mul_action.smul_of_tower_mem /- _inst_5: mul_action ↝ has_scalar | |
| -/ | |
| #print sub_mul_action.is_scalar_tower /- _inst_3: mul_action ↝ has_scalar has_scalar no_meet_fake_name | |
| _inst_5: mul_action ↝ has_scalar has_scalar no_meet_fake_name | |
| -/ | |
| #print sub_mul_action.coe_smul_of_tower /- _inst_3: mul_action ↝ has_scalar has_scalar no_meet_fake_name | |
| _inst_5: mul_action ↝ has_scalar has_scalar no_meet_fake_name | |
| _inst_6: is_scalar_tower ↝ has_scalar no_meet_fake_name | |
| -/ | |
| #print sub_mul_action.mul_action /- _inst_3: mul_action ↝ has_scalar mul_action no_meet_fake_name | |
| -/ | |
| #print sub_mul_action.zero_mem /- _inst_3: module ↝ has_scalar no_meet_fake_name smul_with_zero | |
| -/ | |
| #print sub_mul_action.smul_mem_iff /- _inst_1: division_ring ↝ group_with_zero | |
| _inst_2: semiring ↝ monoid | |
| -/ | |
| -- group_theory/group_action/units.lean | |
| #print units.coe_smul /- _inst_1: group ↝ monoid mul_action | |
| _inst_3: mul_action ↝ has_scalar mul_action | |
| _inst_4: smul_comm_class ↝ mul_action | |
| _inst_5: is_scalar_tower ↝ mul_action | |
| -/ | |
| #print units.smul_inv /- _inst_1: group ↝ has_inv monoid mul_action | |
| _inst_3: mul_action ↝ has_scalar mul_action | |
| _inst_4: smul_comm_class ↝ mul_action | |
| _inst_5: is_scalar_tower ↝ mul_action | |
| -/ | |
| #print units.smul_comm_class' /- _inst_1: group ↝ monoid mul_action | |
| _inst_2: group ↝ monoid mul_action | |
| _inst_4: mul_action ↝ has_scalar mul_action | |
| _inst_5: smul_comm_class ↝ mul_action | |
| _inst_6: mul_action ↝ has_scalar mul_action | |
| _inst_7: smul_comm_class ↝ mul_action | |
| _inst_8: is_scalar_tower ↝ mul_action | |
| _inst_9: is_scalar_tower ↝ mul_action | |
| -/ | |
| #print units.is_scalar_tower' /- _inst_2: group ↝ monoid mul_action | |
| _inst_3: group ↝ monoid mul_action | |
| _inst_5: mul_action ↝ has_scalar mul_action | |
| _inst_6: smul_comm_class ↝ mul_action | |
| _inst_7: mul_action ↝ has_scalar mul_action | |
| _inst_8: smul_comm_class ↝ mul_action | |
| _inst_9: is_scalar_tower ↝ mul_action | |
| _inst_10: is_scalar_tower ↝ mul_action | |
| -/ | |
| #print units.is_scalar_tower'_left /- _inst_1: group ↝ monoid mul_action | |
| _inst_3: mul_action ↝ has_scalar mul_action | |
| _inst_6: smul_comm_class ↝ mul_action | |
| _inst_7: is_scalar_tower ↝ mul_action | |
| -/ | |
| -- group_theory/monoid_localization.lean | |
| #print localization.r /- _inst_1: comm_monoid ↝ mul_one_class | |
| -/ | |
| #print add_localization.r /- _inst_1: add_comm_monoid ↝ add_zero_class | |
| -/ | |
| #print submonoid.localization_map.mul_inv_left /- _inst_1: comm_monoid ↝ monoid | |
| -/ | |
| #print add_submonoid.localization_map.add_neg_left /- _inst_1: add_comm_monoid ↝ add_monoid | |
| -/ | |
| #print submonoid.localization_map.is_unit_comp /- _inst_3: comm_monoid ↝ monoid | |
| -/ | |
| #print add_submonoid.localization_map.is_unit_comp /- _inst_3: add_comm_monoid ↝ add_monoid | |
| -/ | |
| -- group_theory/nielsen_schreier.lean | |
| #print is_free_groupoid.generators /- _inst_1: category_theory.groupoid ↝ | |
| -/ | |
| -- group_theory/order_of_element.lean | |
| #print is_of_fin_add_order /- _inst_2: add_monoid ↝ has_add has_zero | |
| -/ | |
| #print is_of_fin_order /- _inst_1: monoid ↝ has_mul has_one | |
| -/ | |
| #print add_order_of /- _inst_2: add_monoid ↝ has_add has_zero | |
| -/ | |
| #print order_of /- _inst_1: monoid ↝ has_mul has_one | |
| -/ | |
| #print order_eq_card_powers /- _inst_5: decidable_eq ↝ decidable_pred | |
| -/ | |
| #print add_order_of_eq_card_multiples /- _inst_5: decidable_eq ↝ decidable_pred | |
| -/ | |
| #print decidable_gmultiples /- _inst_5: decidable_eq ↝ decidable_pred | |
| -/ | |
| #print decidable_gpowers /- _inst_5: decidable_eq ↝ decidable_pred | |
| -/ | |
| #print order_eq_card_gpowers /- _inst_5: decidable_eq ↝ decidable_pred | |
| -/ | |
| #print add_order_eq_card_gmultiples /- _inst_5: decidable_eq ↝ decidable_pred | |
| -/ | |
| -- group_theory/perm/cycles.lean | |
| #print equiv.perm.cycle_of /- _inst_1: decidable_eq ↝ decidable_rel no_meet_fake_name | |
| _inst_2: fintype ↝ decidable_rel no_meet_fake_name | |
| -/ | |
| -- group_theory/solvable.lean | |
| #print general_commutator_def' /- _inst_3: subgroup.normal ↝ no_meet_fake_name subgroup.normal | |
| _inst_4: subgroup.normal ↝ no_meet_fake_name subgroup.normal | |
| -/ | |
| -- group_theory/specific_groups/cyclic.lean | |
| #print is_simple_group.prime_card /- _inst_1: comm_group ↝ is_cyclic no_meet_fake_name | |
| -/ | |
| -- group_theory/subgroup.lean | |
| #print group.conjugates_of_set /- _inst_1: group ↝ monoid | |
| -/ | |
| #print monoid_hom.restrict /- _inst_3: group ↝ mul_one_class | |
| -/ | |
| #print add_monoid_hom.restrict /- _inst_3: add_group ↝ add_zero_class | |
| -/ | |
| #print monoid_hom.eq_of_eq_on_top /- _inst_3: group ↝ mul_one_class | |
| -/ | |
| #print add_monoid_hom.eq_of_eq_on_top /- _inst_3: add_group ↝ add_zero_class | |
| -/ | |
| #print is_simple_add_group.subgroup.is_simple_lattice /- _inst_4: add_comm_group ↝ add_subgroup.normal domain no_meet_fake_name | |
| -/ | |
| #print is_simple_group.subgroup.is_simple_lattice /- _inst_4: comm_group ↝ no_meet_fake_name subgroup.normal | |
| -/ | |
| #print add_subgroup.vadd_comm_class_right /- _inst_6: vadd_comm_class ↝ no_meet_fake_name vadd_comm_class | |
| -/ | |
| #print subgroup.smul_comm_class_right /- _inst_6: smul_comm_class ↝ no_meet_fake_name smul_comm_class | |
| -/ | |
| -- group_theory/sylow.lean | |
| #print mul_action.mem_fixed_points_iff_card_orbit_eq_one /- _inst_1: group ↝ monoid | |
| -/ | |
| #print sylow.mk_vector_prod_eq_one /- _inst_1: group ↝ has_inv has_mul has_one | |
| -/ | |
| #print sylow.vectors_prod_eq_one /- _inst_2: group ↝ has_mul has_one | |
| -/ | |
| -- linear_algebra/adic_completion.lean | |
| #print is_adic_complete.of_subsingleton /- _inst_6: subsingleton ↝ is_Hausdorff is_precomplete | |
| -/ | |
| -- linear_algebra/affine_space/affine_map.lean | |
| #print affine_map.coe_smul /- _inst_1: comm_ring ↝ module ring | |
| -/ | |
| #print affine_map.homothety /- _inst_1: comm_ring ↝ module ring | |
| -/ | |
| -- linear_algebra/affine_space/affine_subspace.lean | |
| #print vector_span /- _inst_1: ring ↝ semiring | |
| -/ | |
| -- linear_algebra/affine_space/combination.lean | |
| #print finset.weighted_vsub_of_point /- S: add_torsor ↝ has_vsub | |
| -/ | |
| #print finset.centroid_weights /- _inst_1: division_ring ↝ has_add has_inv mul_zero_one_class | |
| -/ | |
| -- linear_algebra/affine_space/finite_dimensional.lean | |
| #print affine_span_eq_top_of_affine_independent_of_card_eq_finrank_add_one /- _inst_5: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| #print collinear /- _inst_1: field ↝ module no_meet_fake_name ring | |
| -/ | |
| -- linear_algebra/affine_space/independent.lean | |
| #print exists_subset_affine_independent_affine_span_eq_top /- _inst_1: field ↝ division_ring | |
| -/ | |
| #print affine_independent_of_ne /- _inst_1: field ↝ domain no_zero_smul_divisors | |
| -/ | |
| -- linear_algebra/affine_space/midpoint.lean | |
| #print line_map_inv_two /- _inst_1: division_ring ↝ has_inv invertible ring | |
| _inst_2: char_zero ↝ invertible | |
| -/ | |
| #print homothety_inv_two /- _inst_1: field ↝ comm_ring has_inv invertible | |
| _inst_2: char_zero ↝ invertible | |
| -/ | |
| #print pi_midpoint_apply /- _inst_1: field ↝ module no_meet_fake_name ring | |
| -/ | |
| -- linear_algebra/affine_space/ordered.lean | |
| #print slope /- _inst_1: field ↝ has_inv has_sub semiring | |
| _inst_3: module ↝ has_scalar | |
| _inst_4: add_torsor ↝ has_vsub | |
| -/ | |
| -- linear_algebra/alternating.lean | |
| #print alternating_map.smul_apply /- _inst_12: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_13: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print alternating_map.map_linear_dependent /- _inst_11: ring ↝ distrib_mul_action semiring | |
| -/ | |
| -- linear_algebra/basic.lean | |
| #print pi_eq_sum_univ /- _inst_2: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print linear_map.sub_comp /- _inst_3: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print linear_map.smul_apply /- _inst_9: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_10: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print linear_map.smul_comm_class /- _inst_9: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_10: smul_comm_class ↝ has_scalar | |
| _inst_12: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_13: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print linear_map.is_scalar_tower /- _inst_9: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_10: smul_comm_class ↝ has_scalar | |
| _inst_13: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_14: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print linear_map.smul_comp /- _inst_9: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_10: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print linear_map.comp_smul /- _inst_1: comm_semiring ↝ distrib_mul_action has_scalar no_meet_fake_name semiring smul_comm_class | |
| -/ | |
| #print submodule.span_singleton_smul_eq /- _inst_9: add_comm_group ↝ add_comm_monoid has_scalar mul_action | |
| -/ | |
| #print submodule.disjoint_span_singleton /- _inst_9: add_comm_group ↝ add_comm_monoid distrib_mul_action has_scalar is_scalar_tower no_meet_fake_name smul_with_zero | |
| -/ | |
| #print submodule.quot_hom_ext /- _inst_3: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print submodule.comap_smul /- _inst_1: field ↝ distrib_mul_action division_ring has_scalar no_meet_fake_name smul_comm_class | |
| _inst_2: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_4: add_comm_group ↝ add_comm_monoid distrib_mul_action has_scalar has_scalar is_scalar_tower no_meet_fake_name smul_comm_class | |
| -/ | |
| #print linear_map.sub_mem_ker_iff /- _inst_1: ring ↝ semiring | |
| -/ | |
| #print linear_map.ker_le_iff /- _inst_3: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print linear_map.span_singleton_sup_ker_eq_top /- _inst_1: field ↝ division_ring | |
| -/ | |
| #print linear_equiv.ker_to_span_singleton /- _inst_1: field ↝ distrib_mul_action division_ring mul_action | |
| _inst_2: add_comm_group ↝ add_comm_monoid distrib_mul_action has_scalar mul_action | |
| -/ | |
| #print submodule.mem_map_equiv /- _inst_1: comm_ring ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| _inst_3: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print submodule.comap_le_comap_smul /- _inst_1: comm_ring ↝ has_scalar semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_3: add_comm_group ↝ add_comm_monoid has_scalar has_scalar | |
| -/ | |
| #print submodule.inf_comap_le_comap_add /- _inst_1: comm_ring ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| _inst_3: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| -- linear_algebra/basis.lean | |
| #print basis.no_zero_smul_divisors /- _inst_6: no_zero_divisors ↝ no_zero_smul_divisors | |
| -/ | |
| #print basis.group_smul_span_eq_top /- _inst_1: ring ↝ mul_action semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid mul_action mul_action | |
| _inst_9: distrib_mul_action ↝ has_scalar | |
| _inst_10: distrib_mul_action ↝ mul_action | |
| -/ | |
| #print linear_map.exists_left_inverse_of_injective /- _inst_1: field ↝ division_ring module no_meet_fake_name smul_comm_class | |
| -/ | |
| #print linear_map.exists_right_inverse_of_surjective /- _inst_1: field ↝ division_ring module no_meet_fake_name smul_comm_class | |
| _inst_2: add_comm_group ↝ add_comm_monoid module no_meet_fake_name smul_comm_class | |
| -/ | |
| #print linear_map.exists_extend /- _inst_3: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| -- linear_algebra/bilinear_form.lean | |
| #print bilin_form.smul_apply /- _inst_16: algebra ↝ has_scalar module | |
| -/ | |
| #print bilin_form.ne_zero_of_not_is_ortho_self /- _inst_13: field ↝ semiring | |
| _inst_14: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print bilin_form.is_ortho_smul_left /- _inst_18: domain ↝ no_zero_divisors semiring | |
| _inst_19: add_comm_group ↝ add_comm_monoid has_scalar | |
| -/ | |
| #print bilin_form.is_ortho_smul_right /- _inst_18: domain ↝ no_zero_divisors semiring | |
| _inst_19: add_comm_group ↝ add_comm_monoid has_scalar | |
| -/ | |
| #print bilin_form.linear_independent_of_is_Ortho /- _inst_13: field ↝ no_zero_divisors semiring | |
| _inst_14: add_comm_group ↝ add_comm_monoid has_scalar | |
| -/ | |
| #print bilin_form.ext_basis /- _inst_10: comm_ring ↝ comm_semiring module module no_meet_fake_name | |
| _inst_11: add_comm_group ↝ add_comm_monoid module module no_meet_fake_name | |
| -/ | |
| #print bilin_form.sum_repr_mul_repr_mul /- _inst_10: comm_ring ↝ module no_meet_fake_name semiring | |
| _inst_11: add_comm_group ↝ add_comm_monoid has_scalar | |
| -/ | |
| #print bilin_form.to_matrix /- _inst_11: add_comm_group ↝ add_comm_monoid module | |
| -/ | |
| #print basis.equiv_fun_symm_std_basis /- _inst_11: add_comm_group ↝ add_comm_monoid has_scalar mul_action no_meet_fake_name smul_with_zero | |
| -/ | |
| #print alt_bilin_form.neg /- _inst_5: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print bilin_form.is_adjoint_pair.smul /- _inst_7: comm_semiring ↝ distrib_mul_action has_scalar no_meet_fake_name semiring smul_comm_class | |
| -/ | |
| #print bilin_form.is_skew_adjoint /- _inst_4: ring ↝ semiring | |
| -/ | |
| #print matrix.is_adjoint_pair /- _inst_10: comm_ring ↝ add_comm_monoid has_mul | |
| -/ | |
| #print bilin_form.span_singleton_inf_orthogonal_eq_bot /- _inst_13: field ↝ no_meet_fake_name no_zero_divisors semiring smul_with_zero | |
| _inst_14: add_comm_group ↝ add_comm_monoid has_scalar no_meet_fake_name smul_with_zero | |
| -/ | |
| #print bilin_form.orthogonal_span_singleton_eq_to_lin_ker /- _inst_13: field ↝ comm_semiring module module mul_action no_meet_fake_name no_zero_divisors | |
| _inst_14: add_comm_group ↝ add_comm_monoid has_scalar module module mul_action no_meet_fake_name | |
| -/ | |
| #print bilin_form.nondegenerate_restrict_of_disjoint_orthogonal /- _inst_4: ring ↝ module no_meet_fake_name semiring | |
| _inst_5: add_comm_group ↝ add_comm_monoid module no_meet_fake_name | |
| -/ | |
| -- linear_algebra/char_poly/basic.lean | |
| #print char_matrix /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| -- linear_algebra/char_poly/coeff.lean | |
| #print mat_poly_equiv_eq_X_pow_sub_C /- _inst_6: field ↝ algebra algebra comm_ring | |
| -/ | |
| -- linear_algebra/dimension.lean | |
| #print dim_of_field /- _inst_8: field ↝ division_ring | |
| -/ | |
| #print dim_range_of_surjective /- _inst_1: field ↝ division_ring module no_meet_fake_name | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print dim_pi /- _inst_1: field ↝ division_ring module no_meet_fake_name | |
| -/ | |
| #print exists_mem_ne_zero_of_ne_bot /- _inst_1: field ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print rank /- _inst_1: field ↝ module no_meet_fake_name semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| _inst_6: add_comm_group ↝ add_comm_monoid module no_meet_fake_name | |
| -/ | |
| #print dim_zero_iff_forall_zero /- _inst_1: field ↝ division_ring module no_meet_fake_name | |
| -/ | |
| #print le_dim_iff_exists_linear_independent /- _inst_1: field ↝ division_ring | |
| -/ | |
| #print dim_le_one_iff /- _inst_1: field ↝ distrib_mul_action division_ring module no_meet_fake_name | |
| -/ | |
| -- linear_algebra/direct_sum/finsupp.lean | |
| #print finsupp_lequiv_direct_sum /- _inst_1: ring ↝ module module no_meet_fake_name semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid module no_meet_fake_name | |
| -/ | |
| -- linear_algebra/dual.lean | |
| #print module.dual /- _inst_1: comm_semiring ↝ semiring | |
| -/ | |
| #print basis.eval_ker /- _inst_1: comm_ring ↝ comm_semiring module no_meet_fake_name | |
| _inst_2: add_comm_group ↝ add_comm_monoid module no_meet_fake_name | |
| -/ | |
| #print dual_pair.lc /- _inst_1: comm_ring ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_3: module ↝ has_scalar | |
| -/ | |
| #print submodule.dual_restrict /- _inst_1: comm_ring ↝ comm_semiring module module no_meet_fake_name | |
| _inst_2: add_comm_group ↝ add_comm_monoid module module no_meet_fake_name | |
| -/ | |
| #print subspace.quot_dual_equiv_annihilator /- _inst_6: finite_dimensional ↝ finite_dimensional | |
| -/ | |
| #print linear_map.dual_map /- _inst_1: comm_ring ↝ comm_semiring module no_meet_fake_name | |
| _inst_2: add_comm_group ↝ add_comm_monoid module no_meet_fake_name | |
| _inst_4: add_comm_group ↝ add_comm_monoid module no_meet_fake_name | |
| -/ | |
| -- linear_algebra/eigenspace.lean | |
| #print module.End.eigenspace /- _inst_1: comm_ring ↝ algebra comm_semiring no_meet_fake_name | |
| -/ | |
| #print module.End.aeval_apply_of_has_eigenvector /- _inst_4: field ↝ algebra algebra comm_ring mul_action no_meet_fake_name | |
| -/ | |
| #print module.End.is_integral /- _inst_7: finite_dimensional ↝ finite_dimensional | |
| -/ | |
| #print module.End.eigenvectors_linear_independent /- _inst_4: field ↝ algebra comm_ring distrib_mul_action mul_action no_meet_fake_name no_zero_divisors no_zero_smul_divisors smul_with_zero | |
| -/ | |
| #print module.End.generalized_eigenrange /- _inst_1: comm_ring ↝ algebra comm_semiring no_meet_fake_name | |
| -/ | |
| #print module.End.map_generalized_eigenrange_le /- _inst_4: field ↝ algebra comm_ring no_meet_fake_name | |
| -/ | |
| -- linear_algebra/finite_dimensional.lean | |
| #print finite_dimensional /- _inst_6: field ↝ semiring | |
| _inst_7: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print finite_dimensional.finrank /- _inst_6: field ↝ semiring | |
| _inst_7: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print finite_dimensional.dim_eq_card_basis /- _inst_1: field ↝ division_ring | |
| -/ | |
| #print finite_dimensional.basis.subset_extend /- _inst_1: field ↝ division_ring | |
| -/ | |
| #print finite_dimensional.finrank_map_subtype_eq /- _inst_6: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| #print linear_map.finite_dimensional_range /- h: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| #print alg_hom.bijective /- _inst_7: field ↝ division_ring module | |
| -/ | |
| #print submodule.finrank_mono /- _inst_6: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| #print submodule.finrank_lt_finrank_of_lt /- _inst_6: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| #print submodule.finrank_add_eq_of_is_compl /- _inst_6: finite_dimensional ↝ finite_dimensional no_meet_fake_name | |
| -/ | |
| #print subalgebra.dim_eq_one_of_eq_bot /- _inst_7: field ↝ algebra domain module module module no_meet_fake_name no_zero_smul_divisors | |
| -/ | |
| #print subalgebra_top_dim_eq_submodule_top_dim /- _inst_6: field ↝ algebra comm_ring module module no_meet_fake_name | |
| _inst_7: field ↝ algebra module module no_meet_fake_name ring | |
| -/ | |
| #print subalgebra_top_finrank_eq_submodule_top_finrank /- _inst_7: field ↝ algebra module module no_meet_fake_name ring | |
| -/ | |
| #print subalgebra.eq_bot_of_finrank_one /- _inst_7: field ↝ algebra domain no_meet_fake_name no_zero_smul_divisors | |
| -/ | |
| -- linear_algebra/finsupp.lean | |
| #print finsupp.lhom_ext /- _inst_4: module ↝ module no_meet_fake_name | |
| -/ | |
| -- linear_algebra/finsupp_vector_space.lean | |
| #print finsupp.basis_single_one /- _inst_1: ring ↝ module no_meet_fake_name semiring | |
| -/ | |
| #print finsupp.basis.tensor_product /- _inst_2: add_comm_group ↝ add_comm_monoid module | |
| _inst_4: add_comm_group ↝ add_comm_monoid module | |
| -/ | |
| #print finsupp.dim_eq /- _inst_1: field ↝ division_ring module no_meet_fake_name | |
| -/ | |
| #print equiv_of_dim_eq_lift_dim /- _inst_1: field ↝ division_ring | |
| -/ | |
| -- linear_algebra/free_module.lean | |
| #print module.free.tensor /- _inst_2: add_comm_group ↝ add_comm_monoid module | |
| _inst_4: add_comm_group ↝ add_comm_monoid module | |
| -/ | |
| -- linear_algebra/free_module_pid.lean | |
| #print eq_bot_of_rank_eq_zero /- _inst_1: comm_ring ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid has_scalar | |
| -/ | |
| #print eq_bot_of_generator_maximal_map_eq_zero /- _inst_1: comm_ring ↝ module no_meet_fake_name ring | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print generator_map_dvd_of_mem /- _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print not_mem_of_ortho /- _inst_1: integral_domain ↝ domain mul_action | |
| -/ | |
| #print basis.card_le_card_of_linear_independent /- _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| -- linear_algebra/invariant_basis_number.lean | |
| #print noetherian_ring_strong_rank_condition /- _inst_3: is_noetherian_ring ↝ is_noetherian | |
| -/ | |
| -- linear_algebra/lagrange.lean | |
| #print lagrange.basis /- _inst_2: field ↝ comm_ring has_inv | |
| -/ | |
| #print lagrange.eq_zero_of_eval_eq_zero /- _inst_3: field ↝ integral_domain | |
| -/ | |
| -- linear_algebra/linear_independent.lean | |
| #print linear_independent_iff_injective_total /- _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print linear_independent.group_smul /- _inst_1: ring ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_9: distrib_mul_action ↝ has_scalar | |
| -/ | |
| #print linear_independent.units_smul /- _inst_1: ring ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid has_scalar is_scalar_tower | |
| -/ | |
| #print exists_maximal_independent' /- _inst_1: ring ↝ module no_meet_fake_name semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print linear_independent.image_subtype /- _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print linear_independent_monoid_hom /- _inst_8: monoid ↝ mul_one_class | |
| -/ | |
| #print linear_independent_unique_iff /- _inst_1: ring ↝ module no_meet_fake_name semiring | |
| _inst_3: add_comm_group ↝ add_comm_monoid has_scalar | |
| -/ | |
| -- linear_algebra/matrix/basis.lean | |
| #print basis.to_matrix /- _inst_5: comm_ring ↝ module no_meet_fake_name semiring | |
| _inst_6: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| -- linear_algebra/matrix/block.lean | |
| #print matrix.block_triangular_matrix' /- _inst_5: comm_ring ↝ has_zero | |
| -/ | |
| #print matrix.block_triangular_matrix /- _inst_5: comm_ring ↝ has_zero | |
| -/ | |
| -- linear_algebra/matrix/determinant.lean | |
| #print matrix.alg_hom.map_det /- _inst_5: comm_ring ↝ comm_semiring | |
| -/ | |
| -- linear_algebra/matrix/dual.lean | |
| #print linear_map.to_matrix_transpose /- _inst_1: field ↝ comm_ring module module module module no_meet_fake_name | |
| -/ | |
| -- linear_algebra/matrix/to_lin.lean | |
| #print algebra.to_matrix_lmul' /- _inst_2: comm_ring ↝ algebra module module no_meet_fake_name ring | |
| -/ | |
| #print algebra.to_matrix_lsmul /- _inst_2: comm_ring ↝ algebra module module no_meet_fake_name ring | |
| _inst_4: algebra ↝ algebra has_scalar is_scalar_tower module module no_meet_fake_name | |
| -/ | |
| -- linear_algebra/matrix/trace.lean | |
| #print matrix.trace_mul_comm /- _inst_6: comm_ring ↝ comm_semiring module | |
| -/ | |
| -- linear_algebra/multilinear.lean | |
| #print multilinear_map.smul_apply /- _inst_12: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_14: smul_comm_class ↝ has_scalar | |
| -/ | |
| -- linear_algebra/pi_tensor_product.lean | |
| #print pi_tensor_product.smul_tprod_coeff' /- _inst_6: algebra ↝ has_scalar has_scalar no_meet_fake_name | |
| -/ | |
| #print pi_tensor_product.module /- _inst_6: algebra ↝ module no_meet_fake_name | |
| -/ | |
| -- linear_algebra/prod.lean | |
| #print linear_map.ker_prod_ker_le_ker_coprod /- _inst_12: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| -- linear_algebra/projection.lean | |
| #print linear_map.ker_id_sub_eq_of_proj /- _inst_1: ring ↝ module no_meet_fake_name semiring | |
| -/ | |
| #print linear_map.range_eq_of_proj /- _inst_1: ring ↝ module no_meet_fake_name semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid module no_meet_fake_name | |
| -/ | |
| #print linear_map.of_is_compl /- _inst_4: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print linear_map.of_is_compl_smul /- _inst_8: comm_ring ↝ distrib_mul_action has_scalar module no_meet_fake_name ring smul_comm_class | |
| -/ | |
| -- linear_algebra/quadratic_form.lean | |
| #print quadratic_form.polar /- _inst_1: add_comm_group ↝ has_add | |
| _inst_2: ring ↝ has_sub | |
| -/ | |
| #print quadratic_form.coe_fn_smul /- _inst_7: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_8: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print quadratic_form.smul_apply /- _inst_7: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_8: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print quadratic_form.pos_def /- _inst_6: ordered_ring ↝ has_lt ring | |
| -/ | |
| #print quadratic_form.pos_def.smul /- _inst_8: linear_ordered_comm_ring ↝ has_scalar ordered_ring | |
| -/ | |
| -- linear_algebra/sesquilinear_form.lean | |
| #print sesq_form.ortho_smul_left /- _inst_1: domain ↝ no_zero_divisors ring | |
| -/ | |
| #print sesq_form.ortho_smul_right /- _inst_1: domain ↝ no_zero_divisors ring | |
| -/ | |
| -- linear_algebra/tensor_product.lean | |
| #print linear_map.ext₂ /- _inst_11: module ↝ has_scalar module | |
| _inst_17: smul_comm_class ↝ module | |
| -/ | |
| #print linear_map.lsmul_injective /- _inst_1: comm_ring ↝ comm_semiring module | |
| -/ | |
| #print tensor_product.zero_smul /- _inst_15: module ↝ distrib_mul_action has_scalar has_scalar no_meet_fake_name smul_with_zero | |
| -/ | |
| #print tensor_product.smul_tmul' /- _inst_14: distrib_mul_action ↝ has_scalar has_scalar | |
| _inst_16: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print tensor_product.tmul_smul /- _inst_16: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print tensor_product.is_scalar_tower /- _inst_14: distrib_mul_action ↝ has_scalar has_scalar is_scalar_tower | |
| _inst_16: smul_comm_class ↝ has_scalar is_scalar_tower | |
| _inst_19: is_scalar_tower ↝ is_scalar_tower | |
| -/ | |
| #print tensor_product.neg.aux /- _inst_2: add_comm_group ↝ add_comm_monoid has_neg | |
| _inst_3: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print linear_map.ltensor_sub /- _inst_3: add_comm_group ↝ add_comm_monoid module module | |
| -/ | |
| #print linear_map.rtensor_sub /- _inst_3: add_comm_group ↝ add_comm_monoid module module | |
| -/ | |
| #print linear_map.ltensor_neg /- _inst_3: add_comm_group ↝ add_comm_monoid module module | |
| -/ | |
| #print linear_map.rtensor_neg /- _inst_3: add_comm_group ↝ add_comm_monoid module module | |
| -/ | |
| -- linear_algebra/unitary_group.lean | |
| #print matrix.unitary_group /- _inst_3: comm_ring ↝ ring | |
| -/ | |
| -- linear_algebra/vandermonde.lean | |
| #print matrix.vandermonde /- _inst_1: comm_ring ↝ has_pow | |
| -/ | |
| -- logic/basic.lean | |
| #print coe_coe /- _inst_1: has_coe ↝ has_lift_t | |
| _inst_2: has_coe_t ↝ has_lift_t | |
| -/ | |
| #print coe_fn_coe_trans /- _inst_1: has_coe ↝ has_coe_to_fun has_lift_t | |
| _inst_2: has_coe_t_aux ↝ has_coe_to_fun | |
| -/ | |
| #print coe_fn_coe_base /- _inst_1: has_coe ↝ has_coe_to_fun has_lift_t | |
| -/ | |
| #print coe_sort_coe_trans /- _inst_1: has_coe ↝ has_coe_to_sort has_lift_t | |
| _inst_2: has_coe_t_aux ↝ has_coe_to_sort | |
| -/ | |
| #print coe_sort_coe_base /- _inst_1: has_coe ↝ has_coe_to_sort has_lift_t | |
| -/ | |
| -- logic/relator.lean | |
| #print relator.rel_forall_of_total /- _inst_1: relator.bi_total ↝ relator.left_total relator.right_total | |
| -/ | |
| #print relator.rel_exists_of_total /- _inst_1: relator.bi_total ↝ relator.left_total relator.right_total | |
| -/ | |
| -- measure_theory/ae_eq_fun.lean | |
| #print measure_theory.ae_eq_fun.smul_mk /- _inst_8: opens_measurable_space ↝ has_measurable_smul has_scalar | |
| _inst_10: borel_space ↝ has_measurable_smul has_scalar | |
| _inst_12: module ↝ has_measurable_smul has_scalar has_scalar | |
| _inst_13: has_continuous_smul ↝ has_measurable_smul has_scalar | |
| -/ | |
| -- measure_theory/ae_measurable_sequence.lean | |
| #print ae_seq.supr /- _inst_3: complete_lattice ↝ has_Sup | |
| -/ | |
| -- measure_theory/arithmetic.lean | |
| #print has_measurable_smul_of_mul /- _inst_2: monoid ↝ has_mul | |
| -/ | |
| #print has_measurable_smul₂_of_mul /- _inst_2: monoid ↝ has_mul | |
| -/ | |
| #print units.has_measurable_smul /- _inst_5: mul_action ↝ has_scalar | |
| -/ | |
| -- measure_theory/bochner_integration.lean | |
| #print measure_theory.simple_func.integral_smul /- _inst_7: normed_space ↝ distrib_mul_action has_scalar | |
| -/ | |
| -- measure_theory/borel_space.lean | |
| #print measurable_set.nhds_within_is_measurably_generated /- _inst_3: opens_measurable_space ↝ filter.is_measurably_generated no_meet_fake_name | |
| -/ | |
| #print measurable_set_le' /- _inst_14: partial_order ↝ preorder | |
| -/ | |
| #print measurable_of_continuous_on_compl_singleton /- _inst_14: t1_space ↝ measurable_singleton_class | |
| -/ | |
| #print has_continuous_inv'.has_measurable_inv /- _inst_14: group_with_zero ↝ has_inv has_zero | |
| -/ | |
| #print closed_embedding.measurable_inv_fun /- _inst_9: borel_space ↝ opens_measurable_space | |
| -/ | |
| #print measurable_set_ball /- _inst_1: metric_space ↝ pseudo_metric_space | |
| -/ | |
| #print measurable_set_closed_ball /- _inst_1: metric_space ↝ pseudo_metric_space | |
| -/ | |
| #print measurable_inf_dist /- _inst_1: metric_space ↝ pseudo_metric_space | |
| -/ | |
| #print measurable_inf_nndist /- _inst_1: metric_space ↝ pseudo_metric_space | |
| -/ | |
| #print measurable_dist /- _inst_1: metric_space ↝ pseudo_metric_space | |
| -/ | |
| #print measurable.dist /- _inst_1: metric_space ↝ pseudo_metric_space | |
| -/ | |
| #print measurable_nndist /- _inst_1: metric_space ↝ pseudo_metric_space | |
| -/ | |
| #print measurable.nndist /- _inst_1: metric_space ↝ pseudo_metric_space | |
| -/ | |
| #print measurable_set_eball /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print measurable_edist_right /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print measurable_edist_left /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print measurable_inf_edist /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print measurable_edist /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print measurable.edist /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print ae_measurable.edist /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print measurable_norm /- _inst_2: normed_group ↝ semi_normed_group | |
| -/ | |
| #print measurable_nnnorm /- _inst_2: normed_group ↝ semi_normed_group | |
| -/ | |
| #print continuous_linear_map.measurable /- _inst_4: normed_space ↝ module | |
| _inst_8: normed_space ↝ module | |
| -/ | |
| #print continuous_linear_map.measurable_space /- _inst_4: normed_space ↝ module semi_normed_space | |
| _inst_6: normed_space ↝ module semi_normed_space | |
| -/ | |
| #print continuous_linear_map.measurable_apply' /- _inst_2: nondiscrete_normed_field ↝ module normed_field | |
| -/ | |
| -- measure_theory/content.lean | |
| #print measure_theory.content.is_add_left_invariant_inner_content /- _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print measure_theory.content.is_mul_left_invariant_inner_content /- _inst_3: topological_group ↝ has_continuous_mul | |
| -/ | |
| #print measure_theory.content.is_add_left_invariant_outer_measure /- _inst_4: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print measure_theory.content.is_mul_left_invariant_outer_measure /- _inst_4: topological_group ↝ has_continuous_mul | |
| -/ | |
| -- measure_theory/ess_sup.lean | |
| #print ess_sup_const /- _inst_2: complete_lattice ↝ conditionally_complete_lattice | |
| -/ | |
| #print ennreal.ess_sup_liminf_le /- _inst_3: linear_order ↝ preorder | |
| -/ | |
| -- measure_theory/group.lean | |
| #print measure_theory.measure.map_mul_left_eq_self /- _inst_4: has_continuous_mul ↝ has_measurable_mul | |
| _inst_5: borel_space ↝ has_measurable_mul | |
| -/ | |
| #print measure_theory.measure.map_add_left_eq_self /- _inst_4: has_continuous_add ↝ has_measurable_add | |
| _inst_5: borel_space ↝ has_measurable_add | |
| -/ | |
| #print measure_theory.measure.map_mul_right_eq_self /- _inst_4: has_continuous_mul ↝ has_measurable_mul | |
| _inst_5: borel_space ↝ has_measurable_mul | |
| -/ | |
| #print measure_theory.measure.map_add_right_eq_self /- _inst_4: has_continuous_add ↝ has_measurable_add | |
| _inst_5: borel_space ↝ has_measurable_add | |
| -/ | |
| #print measure_theory.measure.inv_apply /- _inst_4: topological_group ↝ has_measurable_inv | |
| _inst_5: borel_space ↝ has_measurable_inv | |
| -/ | |
| #print measure_theory.measure.neg_apply /- _inst_4: topological_add_group ↝ has_measurable_neg | |
| _inst_5: borel_space ↝ has_measurable_neg | |
| -/ | |
| #print measure_theory.measure.is_add_left_invariant.null_iff_empty /- _inst_3: borel_space ↝ opens_measurable_space | |
| _inst_5: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print measure_theory.is_mul_left_invariant.null_iff_empty /- _inst_3: borel_space ↝ opens_measurable_space | |
| _inst_5: topological_group ↝ has_continuous_mul | |
| -/ | |
| -- measure_theory/haar_measure.lean | |
| #print measure_theory.measure.haar.index /- _inst_1: group ↝ has_mul | |
| -/ | |
| -- measure_theory/hausdorff_measure.lean | |
| #print measure_theory.outer_measure.mk_metric'.pre /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print measure_theory.outer_measure.trim_mk_metric /- _inst_4: borel_space ↝ opens_measurable_space | |
| -/ | |
| -- measure_theory/integrable_on.lean | |
| #print continuous_on.ae_measurable /- _inst_3: normed_group ↝ has_zero opens_measurable_space topological_space | |
| -/ | |
| -- measure_theory/integral_eq_improper.lean | |
| #print measure_theory.integrable_of_interval_integral_norm_tendsto /- _inst_9: borel_space ↝ opens_measurable_space | |
| -/ | |
| #print measure_theory.integrable_on_Iic_of_interval_integral_norm_tendsto /- _inst_9: borel_space ↝ opens_measurable_space | |
| -/ | |
| #print measure_theory.integrable_on_Ioi_of_interval_integral_norm_tendsto /- _inst_9: borel_space ↝ opens_measurable_space | |
| -/ | |
| -- measure_theory/integration.lean | |
| #print measure_theory.simple_func.fin_meas_supp.add /- _inst_4: add_monoid ↝ add_zero_class | |
| -/ | |
| #print measure_theory.simple_func.fin_meas_supp.mul /- _inst_4: monoid_with_zero ↝ mul_zero_class | |
| -/ | |
| -- measure_theory/interval_integral.lean | |
| #print interval_integrable /- _inst_1: linear_order ↝ preorder | |
| -/ | |
| #print interval_integral /- _inst_1: linear_order ↝ preorder | |
| -/ | |
| #print interval_integral.FTC_filter.nhds /- _inst_12: opens_measurable_space ↝ filter.is_measurably_generated no_meet_fake_name | |
| _inst_13: order_topology ↝ filter.tendsto_Ixx_class no_meet_fake_name | |
| -/ | |
| #print interval_integral.FTC_filter.nhds_univ /- _inst_12: opens_measurable_space ↝ interval_integral.FTC_filter no_meet_fake_name | |
| _inst_13: order_topology ↝ interval_integral.FTC_filter no_meet_fake_name | |
| -/ | |
| #print interval_integral.FTC_filter.nhds_left /- _inst_12: opens_measurable_space ↝ filter.is_measurably_generated no_meet_fake_name | |
| _inst_13: order_topology ↝ filter.is_measurably_generated filter.tendsto_Ixx_class no_meet_fake_name | |
| -/ | |
| #print interval_integral.FTC_filter.nhds_right /- _inst_12: opens_measurable_space ↝ filter.is_measurably_generated no_meet_fake_name | |
| _inst_13: order_topology ↝ filter.is_measurably_generated filter.tendsto_Ixx_class no_meet_fake_name | |
| -/ | |
| #print interval_integral.measure_integral_sub_integral_sub_linear_is_o_of_tendsto_ae /- _inst_10: order_topology ↝ order_closed_topology | |
| _inst_11: borel_space ↝ opens_measurable_space | |
| -/ | |
| -- measure_theory/l1_space.lean | |
| #print measure_theory.lintegral_nnnorm_eq_lintegral_edist /- _inst_2: normed_group ↝ semi_normed_group | |
| -/ | |
| #print measure_theory.lintegral_norm_eq_lintegral_edist /- _inst_2: normed_group ↝ semi_normed_group | |
| -/ | |
| #print measure_theory.lintegral_edist_triangle /- _inst_2: normed_group ↝ emetric_space | |
| -/ | |
| #print measure_theory.lintegral_nnnorm_zero /- _inst_2: normed_group ↝ semi_normed_group | |
| -/ | |
| #print measure_theory.lintegral_nnnorm_neg /- _inst_2: normed_group ↝ semi_normed_group | |
| -/ | |
| #print measure_theory.has_finite_integral /- _inst_2: normed_group ↝ has_nnnorm | |
| -/ | |
| #print measure_theory.all_ae_of_real_F_le_bound /- _inst_2: normed_group ↝ has_norm | |
| -/ | |
| #print measure_theory.all_ae_tendsto_of_real_norm /- _inst_2: normed_group ↝ semi_normed_group | |
| -/ | |
| #print measure_theory.tendsto_lintegral_norm_of_dominated_convergence /- _inst_5: borel_space ↝ has_measurable_sub₂ opens_measurable_space | |
| _inst_6: topological_space.second_countable_topology ↝ has_measurable_sub₂ | |
| -/ | |
| #print measure_theory.has_finite_integral.smul /- _inst_5: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print measure_theory.integrable.add /- _inst_7: borel_space ↝ has_measurable_add₂ opens_measurable_space | |
| _inst_8: topological_space.second_countable_topology ↝ has_measurable_add₂ | |
| -/ | |
| #print measure_theory.integrable.neg /- _inst_7: borel_space ↝ has_measurable_neg | |
| -/ | |
| #print measure_theory.integrable.smul /- _inst_10: opens_measurable_space ↝ has_measurable_smul | |
| _inst_11: borel_space ↝ has_measurable_smul | |
| -/ | |
| #print measure_theory.integrable_smul_iff /- _inst_10: opens_measurable_space ↝ has_measurable_smul | |
| _inst_11: borel_space ↝ has_measurable_smul | |
| -/ | |
| #print continuous_linear_map.integrable_comp /- _inst_10: is_R_or_C ↝ module nondiscrete_normed_field semi_normed_space | |
| -/ | |
| -- measure_theory/l2_space.lean | |
| #print measure_theory.L2.inner_def /- _inst_4: inner_product_space ↝ has_inner has_inner normed_group | |
| -/ | |
| #print measure_theory.bounded_continuous_function.inner_to_Lp /- _inst_2: measure_theory.measure_space ↝ has_inner measurable_space module | |
| -/ | |
| #print measure_theory.continuous_map.inner_to_Lp /- _inst_2: measure_theory.measure_space ↝ has_inner measurable_space module | |
| -/ | |
| -- measure_theory/lp_space.lean | |
| #print measure_theory.snorm' /- _inst_4: normed_group ↝ has_nnnorm | |
| -/ | |
| #print measure_theory.snorm_ess_sup /- _inst_4: normed_group ↝ has_nnnorm | |
| -/ | |
| #print measure_theory.mem_ℒp.neg /- _inst_6: borel_space ↝ has_measurable_neg | |
| -/ | |
| #print measure_theory.snorm'_le_snorm'_mul_rpow_measure_univ /- _inst_6: borel_space ↝ opens_measurable_space | |
| -/ | |
| #print measure_theory.snorm'_add_le /- _inst_6: borel_space ↝ opens_measurable_space | |
| -/ | |
| #print measure_theory.snorm'_sum_le /- _inst_7: topological_space.second_countable_topology ↝ has_measurable_add₂ | |
| -/ | |
| #print measure_theory.snorm_sum_le /- _inst_7: topological_space.second_countable_topology ↝ has_measurable_add₂ | |
| -/ | |
| #print measure_theory.snorm'_add_lt_top_of_le_one /- _inst_6: borel_space ↝ opens_measurable_space | |
| -/ | |
| #print measure_theory.mem_ℒp.add /- _inst_7: topological_space.second_countable_topology ↝ has_measurable_add₂ | |
| -/ | |
| #print measure_theory.snorm'_const_smul /- _inst_8: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print measure_theory.snorm_ess_sup_const_smul /- _inst_8: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print measure_theory.mem_ℒp.const_smul /- _inst_10: opens_measurable_space ↝ has_measurable_smul | |
| _inst_11: borel_space ↝ has_measurable_smul | |
| -/ | |
| #print measure_theory.snorm'_smul_le_mul_snorm' /- _inst_7: normed_space ↝ has_scalar semi_normed_space | |
| -/ | |
| #print measure_theory.Lp.snorm'_lim_eq_lintegral_liminf /- _inst_8: nonempty ↝ filter.ne_bot | |
| _inst_9: linear_order ↝ filter.ne_bot preorder | |
| -/ | |
| #print measure_theory.Lp.snorm'_lim_le_liminf_snorm' /- _inst_10: borel_space ↝ opens_measurable_space | |
| -/ | |
| #print measure_theory.Lp.snorm_exponent_top_lim_eq_ess_sup_liminf /- _inst_8: nonempty ↝ filter.ne_bot | |
| _inst_9: linear_order ↝ filter.ne_bot preorder | |
| -/ | |
| #print measure_theory.Lp.cauchy_tendsto_of_tendsto /- _inst_7: topological_space.second_countable_topology ↝ has_measurable_sub₂ | |
| -/ | |
| #print measure_theory.Lp.mem_ℒp_of_cauchy_tendsto /- _inst_7: topological_space.second_countable_topology ↝ has_measurable_sub₂ | |
| -/ | |
| -- measure_theory/measurable_space.lean | |
| #print measurable_set.coe_insert /- _inst_2: measurable_singleton_class ↝ has_insert | |
| -/ | |
| -- measure_theory/measure_space.lean | |
| #print metric.bounded.finite_measure /- _inst_1: metric_space ↝ pseudo_metric_space t2_space | |
| -/ | |
| -- measure_theory/prod.lean | |
| #print measure_theory.measure.prod_restrict /- _inst_9: measure_theory.sigma_finite ↝ measure_theory.sigma_finite no_meet_fake_name | |
| -/ | |
| #print measure_theory.measure.add_prod /- _inst_9: measure_theory.sigma_finite ↝ measure_theory.sigma_finite no_meet_fake_name | |
| _inst_10: measure_theory.sigma_finite ↝ measure_theory.sigma_finite no_meet_fake_name | |
| -/ | |
| -- measure_theory/prod_group.lean | |
| #print measure_theory.map_prod_mul_eq /- _inst_3: topological_space.second_countable_topology ↝ has_measurable_mul₂ | |
| _inst_4: borel_space ↝ has_measurable_mul₂ | |
| _inst_6: topological_group ↝ has_measurable_mul₂ | |
| -/ | |
| #print measure_theory.measurable_measure_mul_right /- _inst_3: topological_space.second_countable_topology ↝ has_measurable_mul₂ | |
| _inst_4: borel_space ↝ has_measurable_mul₂ | |
| _inst_6: topological_group ↝ has_measurable_mul₂ | |
| -/ | |
| -- measure_theory/regular.lean | |
| #print measure_theory.measure.weakly_regular.inner_regular_of_pseudo_emetric_space /- _inst_5: borel_space ↝ opens_measurable_space | |
| -/ | |
| #print measure_theory.measure.regular.of_sigma_compact_space_of_locally_finite_measure /- _inst_3: emetric_space ↝ measure_theory.measure.weakly_regular no_meet_fake_name opens_measurable_space pseudo_emetric_space t2_space | |
| -/ | |
| -- measure_theory/set_integral.lean | |
| #print measure_theory.Lp_to_Lp_restrict_smul /- _inst_6: is_R_or_C ↝ module normed_field | |
| -/ | |
| #print continuous_at.integral_sub_linear_is_o_ae /- _inst_5: opens_measurable_space ↝ filter.is_measurably_generated no_meet_fake_name | |
| -/ | |
| #print continuous_linear_map.integral_comp_Lp /- _inst_4: is_R_or_C ↝ module nondiscrete_normed_field | |
| -/ | |
| -- measure_theory/simple_func_dense.lean | |
| #print measure_theory.simple_func.exists_forall_norm_le /- _inst_4: normed_group ↝ has_norm | |
| -/ | |
| -- measure_theory/vitali_caratheodory.lean | |
| #print measure_theory.simple_func.exists_le_lower_semicontinuous_lintegral_ge /- _inst_3: borel_space ↝ opens_measurable_space | |
| -/ | |
| -- number_theory/arithmetic_function.lean | |
| #print nat.arithmetic_function.has_mul /- _inst_1: semiring ↝ add_comm_monoid has_scalar | |
| -/ | |
| #print nat.arithmetic_function.one_smul' /- _inst_3: module ↝ has_scalar mul_action no_meet_fake_name smul_with_zero | |
| -/ | |
| #print nat.arithmetic_function.coe_zeta_smul_apply /- _inst_1: comm_ring ↝ mul_action semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid has_scalar mul_action | |
| _inst_3: module ↝ has_scalar mul_action | |
| -/ | |
| #print nat.arithmetic_function.pmul_zeta /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print nat.arithmetic_function.zeta_pmul /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print nat.arithmetic_function.is_multiplicative /- _inst_1: monoid_with_zero ↝ has_mul mul_zero_one_class | |
| -/ | |
| #print nat.arithmetic_function.coe_moebius_mul_coe_zeta /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| #print nat.arithmetic_function.sum_eq_iff_sum_mul_moebius_eq /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| -- number_theory/bernoulli.lean | |
| #print bernoulli'_power_series /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| #print bernoulli_power_series /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| -- number_theory/liouville/basic.lean | |
| #print liouville.exists_one_le_pow_mul_dist /- _inst_1: metric_space ↝ pseudo_metric_space | |
| -/ | |
| -- number_theory/padics/ring_homs.lean | |
| #print padic_int.nth_hom /- _inst_1: comm_ring ↝ non_assoc_semiring | |
| -/ | |
| #print padic_int.to_zmod_pow_eq_iff_ext /- _inst_1: comm_ring ↝ non_assoc_semiring | |
| -/ | |
| -- number_theory/zsqrtd/basic.lean | |
| #print zsqrtd.hom_ext /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| -- number_theory/zsqrtd/gaussian_int.lean | |
| #print gaussian_int.nat_cast_nat_abs_norm /- _inst_1: ring ↝ has_add has_neg mul_zero_one_class | |
| -/ | |
| -- order/atoms.lean | |
| #print is_atom /- _inst_1: order_bot ↝ has_bot has_lt | |
| -/ | |
| #print is_coatom /- _inst_1: order_top ↝ has_lt has_top | |
| -/ | |
| #print is_atom.inf_eq_bot_of_ne /- _inst_1: semilattice_inf_bot ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print is_coatom.sup_eq_top_of_ne /- _inst_1: semilattice_sup_top ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print is_simple_lattice_iff_is_simple_lattice_order_dual /- _inst_1: bounded_lattice ↝ is_simple_lattice | |
| -/ | |
| #print is_atom_top /- _inst_1: bounded_lattice ↝ is_simple_lattice | |
| -/ | |
| #print is_simple_lattice.boolean_algebra /- _inst_1: bounded_lattice ↝ bounded_distrib_lattice | |
| -/ | |
| -- order/basic.lean | |
| #print monotone /- _inst_1: preorder ↝ has_le | |
| _inst_2: preorder ↝ has_le | |
| -/ | |
| #print strict_mono_incr_on.dual /- _inst_1: preorder ↝ has_lt | |
| _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print strict_mono_incr_on.dual_right /- _inst_1: preorder ↝ has_lt | |
| _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print strict_mono_decr_on.dual /- _inst_1: preorder ↝ has_lt | |
| _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print strict_mono_decr_on.dual_right /- _inst_1: preorder ↝ has_lt | |
| _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print strict_mono.ite' /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| -- order/bounded_lattice.lean | |
| #print top_sup_eq /- _inst_1: semilattice_sup_top ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print sup_top_eq /- _inst_1: semilattice_sup_top ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print bot_sup_eq /- _inst_1: semilattice_sup_bot ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print sup_bot_eq /- _inst_1: semilattice_sup_bot ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print sup_eq_bot_iff /- _inst_1: semilattice_sup_bot ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print top_inf_eq /- _inst_1: semilattice_inf_top ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print inf_top_eq /- _inst_1: semilattice_inf_top ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print inf_eq_top_iff /- _inst_1: semilattice_inf_top ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print bot_inf_eq /- _inst_1: semilattice_inf_bot ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print inf_bot_eq /- _inst_1: semilattice_inf_bot ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print eq_bot_of_bot_eq_top /- _inst_1: bounded_lattice ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print eq_top_of_bot_eq_top /- _inst_1: bounded_lattice ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print subsingleton_of_top_le_bot /- _inst_1: bounded_lattice ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print with_bot.coe_le /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print with_bot.coe_lt_coe /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print with_top.coe_le_coe /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print with_top.coe_lt_coe /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print with_top.coe_lt_top /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print disjoint /- _inst_1: semilattice_inf_bot ↝ has_bot has_inf has_le | |
| -/ | |
| -- order/bounds.lean | |
| #print upper_bounds /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print lower_bounds /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print is_glb.exists_between_self_add /- _inst_1: linear_ordered_add_comm_group ↝ add_zero_class covariant_class linear_order | |
| -/ | |
| #print is_glb.exists_between_self_add' /- _inst_1: linear_ordered_add_comm_group ↝ add_zero_class covariant_class linear_order | |
| -/ | |
| #print is_lub.exists_between_sub_self /- _inst_1: linear_ordered_add_comm_group ↝ add_group covariant_class covariant_class linear_order | |
| -/ | |
| #print is_lub.exists_between_sub_self' /- _inst_1: linear_ordered_add_comm_group ↝ add_group covariant_class covariant_class linear_order | |
| -/ | |
| -- order/closure.lean | |
| #print closure_operator.ext /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print closure_operator.monotone /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print closure_operator.le_closure /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print closure_operator.idempotent /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print closure_operator.closed /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print lower_adjoint.mem_closed_iff_closure_le /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| #print lower_adjoint.closure_is_closed /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| #print lower_adjoint.closed_eq_range_close /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| #print lower_adjoint.closure_le_closed_iff_le /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| #print lower_adjoint.subset_closure /- _inst_1: set_like ↝ has_coe_t preorder | |
| -/ | |
| #print lower_adjoint.le_iff_subset /- _inst_1: set_like ↝ has_coe_t preorder | |
| -/ | |
| #print lower_adjoint.closure_union_closure_subset /- _inst_1: set_like ↝ has_coe_t preorder | |
| -/ | |
| #print lower_adjoint.closure_union_closure_left /- _inst_1: set_like ↝ has_coe_t preorder | |
| -/ | |
| -- order/compactly_generated.lean | |
| #print complete_lattice.is_sup_closed_compact /- _inst_1: complete_lattice ↝ has_Sup has_sup | |
| -/ | |
| #print is_atomistic_of_is_complemented /- _inst_3: is_compactly_generated ↝ is_atomic | |
| -/ | |
| -- order/complete_lattice.lean | |
| #print Sup_eq_of_forall_le_of_forall_lt_exists_gt /- _inst_1: complete_lattice ↝ complete_semilattice_Sup | |
| -/ | |
| #print le_supr /- _inst_1: complete_lattice ↝ complete_semilattice_Sup | |
| -/ | |
| #print le_supr' /- _inst_1: complete_lattice ↝ complete_semilattice_Sup | |
| -/ | |
| #print is_lub_supr /- _inst_1: complete_lattice ↝ complete_semilattice_Sup | |
| -/ | |
| #print is_lub.supr_eq /- _inst_1: complete_lattice ↝ complete_semilattice_Sup | |
| -/ | |
| #print is_glb_infi /- _inst_1: complete_lattice ↝ complete_semilattice_Inf | |
| -/ | |
| #print is_glb.infi_eq /- _inst_1: complete_lattice ↝ complete_semilattice_Inf | |
| -/ | |
| #print supr_le /- _inst_1: complete_lattice ↝ complete_semilattice_Sup | |
| -/ | |
| #print infi_le /- _inst_1: complete_lattice ↝ complete_semilattice_Inf | |
| -/ | |
| #print infi_le' /- _inst_1: complete_lattice ↝ complete_semilattice_Inf | |
| -/ | |
| #print le_infi /- _inst_1: complete_lattice ↝ complete_semilattice_Inf | |
| -/ | |
| #print infi_const /- _inst_1: complete_lattice ↝ complete_semilattice_Inf | |
| -/ | |
| -- order/conditionally_complete_lattice.lean | |
| #print cSup_eq_of_is_forall_le_of_forall_le_imp_ge /- _inst_1: conditionally_complete_linear_order ↝ conditionally_complete_lattice | |
| -/ | |
| #print Sup_within_of_ord_connected /- _inst_1: conditionally_complete_linear_order ↝ conditionally_complete_lattice | |
| -/ | |
| #print Inf_within_of_ord_connected /- _inst_1: conditionally_complete_linear_order ↝ conditionally_complete_lattice | |
| -/ | |
| -- order/filter/at_top_bot.lean | |
| #print filter.tendsto_at_top_add_nonneg_left' /- _inst_1: ordered_add_comm_monoid ↝ add_zero_class covariant_class preorder | |
| -/ | |
| #print filter.tendsto_at_top_add_nonneg_right' /- _inst_1: ordered_add_comm_monoid ↝ add_zero_class covariant_class preorder | |
| -/ | |
| #print filter.tendsto_at_top_of_add_const_left /- _inst_1: ordered_cancel_add_comm_monoid ↝ contravariant_class has_add preorder | |
| -/ | |
| #print filter.tendsto_at_top_of_add_const_right /- _inst_1: ordered_cancel_add_comm_monoid ↝ contravariant_class has_add preorder | |
| -/ | |
| #print filter.tendsto_neg_at_top_at_bot /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print filter.tendsto_abs_at_top_at_top /- _inst_1: linear_ordered_add_comm_group ↝ has_neg linear_order | |
| -/ | |
| #print filter.prod_at_top_at_top_eq /- _inst_1: semilattice_sup ↝ preorder | |
| _inst_2: semilattice_sup ↝ preorder | |
| -/ | |
| #print filter.tendsto_at_top_of_monotone_of_subseq /- _inst_3: filter.ne_bot ↝ filter.ne_bot | |
| -/ | |
| #print filter.tendsto_at_bot_of_monotone_of_subseq /- _inst_3: filter.ne_bot ↝ filter.ne_bot | |
| -/ | |
| #print exists_lt_mul_self /- _inst_1: linear_ordered_semiring ↝ filter.ne_bot no_top_order ordered_semiring | |
| -/ | |
| -- order/filter/basic.lean | |
| #print filter.eventually_eq.div /- _inst_1: group_with_zero ↝ div_inv_monoid | |
| -/ | |
| #print filter.eventually_eq.div' /- _inst_1: group ↝ div_inv_monoid | |
| -/ | |
| #print filter.eventually_eq.sub /- _inst_1: add_group ↝ sub_neg_monoid | |
| -/ | |
| -- order/filter/extr.lean | |
| #print is_min_filter /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print is_max_filter /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print is_min_filter.add /- _inst_1: ordered_add_comm_monoid ↝ covariant_class covariant_class has_add preorder | |
| -/ | |
| #print is_max_filter.add /- _inst_1: ordered_add_comm_monoid ↝ covariant_class covariant_class has_add preorder | |
| -/ | |
| -- order/filter/filter_product.lean | |
| #print filter.germ.const_div /- _inst_1: division_ring ↝ has_div | |
| -/ | |
| #print filter.germ.abs_def /- _inst_1: linear_ordered_add_comm_group ↝ has_neg linear_order | |
| -/ | |
| #print filter.germ.const_abs /- _inst_1: linear_ordered_add_comm_group ↝ has_neg linear_order | |
| -/ | |
| -- order/filter/indicator_function.lean | |
| #print indicator_union_eventually_eq /- _inst_1: add_monoid ↝ add_zero_class | |
| -/ | |
| -- order/filter/interval.lean | |
| #print filter.tendsto_Icc_pure_pure /- _inst_2: partial_order ↝ no_meet_fake_name preorder set.ord_connected | |
| -/ | |
| #print filter.tendsto_Ico_pure_bot /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| #print filter.tendsto_Ioc_pure_bot /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| #print filter.tendsto_Ioo_pure_bot /- _inst_2: partial_order ↝ filter.tendsto_Ixx_class no_meet_fake_name preorder | |
| -/ | |
| -- order/filter/pointwise.lean | |
| #print filter.map_zero /- _inst_1: add_monoid ↝ add_zero_class | |
| _inst_2: add_monoid ↝ add_zero_class | |
| -/ | |
| #print filter.map_one /- _inst_1: monoid ↝ mul_one_class | |
| _inst_2: monoid ↝ mul_one_class | |
| -/ | |
| -- order/filter/ultrafilter.lean | |
| #print filter.hyperfilter /- _inst_1: infinite ↝ filter.ne_bot | |
| -/ | |
| -- order/fixed_points.lean | |
| #print lfp /- _inst_1: complete_lattice ↝ has_Inf has_le | |
| -/ | |
| #print gfp /- _inst_1: complete_lattice ↝ has_Sup has_le | |
| -/ | |
| #print fixed_points.sup_le_f_of_fixed_points /- _inst_1: complete_lattice ↝ semilattice_sup | |
| -/ | |
| #print fixed_points.f_le_inf_of_fixed_points /- _inst_1: complete_lattice ↝ semilattice_inf | |
| -/ | |
| #print fixed_points.Sup_le_f_of_fixed_points /- _inst_1: complete_lattice ↝ complete_semilattice_Sup | |
| -/ | |
| #print fixed_points.f_le_Inf_of_fixed_points /- _inst_1: complete_lattice ↝ complete_semilattice_Inf | |
| -/ | |
| -- order/galois_connection.lean | |
| #print galois_connection /- _inst_1: preorder ↝ has_le | |
| _inst_2: preorder ↝ has_le | |
| -/ | |
| #print galois_connection.l_supr /- _inst_1: complete_lattice ↝ complete_semilattice_Sup | |
| -/ | |
| #print galois_connection.u_infi /- _inst_2: complete_lattice ↝ complete_semilattice_Inf | |
| -/ | |
| #print galois_coinsertion.strict_mono_l /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| -- order/ideal.lean | |
| #print order.ideal.semilattice_sup_bot.ideal_inter_nonempty /- _inst_1: semilattice_sup_bot ↝ order_bot | |
| -/ | |
| -- order/lexicographic.lean | |
| #print lex_has_le /- _inst_1: preorder ↝ has_lt | |
| _inst_2: preorder ↝ has_le | |
| -/ | |
| #print lex_has_lt /- _inst_1: preorder ↝ has_lt | |
| _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print dlex_has_le /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| #print dlex_has_lt /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| -- order/liminf_limsup.lean | |
| #print filter.not_is_bounded_under_of_tendsto_at_top /- _inst_1: nonempty ↝ filter.ne_bot | |
| _inst_2: semilattice_sup ↝ filter.ne_bot preorder | |
| -/ | |
| #print filter.not_is_bounded_under_of_tendsto_at_bot /- _inst_1: nonempty ↝ filter.ne_bot | |
| _inst_2: semilattice_sup ↝ filter.ne_bot preorder | |
| -/ | |
| #print filter.Limsup /- _inst_1: conditionally_complete_lattice ↝ has_Inf has_le | |
| -/ | |
| #print filter.Liminf /- _inst_1: conditionally_complete_lattice ↝ has_Sup has_le | |
| -/ | |
| #print filter.liminf_le_limsup /- _inst_2: filter.ne_bot ↝ filter.ne_bot | |
| -/ | |
| -- order/modular_lattice.lean | |
| #print is_modular_lattice.is_modular_lattice_Iic /- _inst_1: bounded_lattice ↝ lattice | |
| -/ | |
| #print is_modular_lattice.is_modular_lattice_Ici /- _inst_1: bounded_lattice ↝ lattice | |
| -/ | |
| -- order/omega_complete_partial_order.lean | |
| #print omega_complete_partial_order.continuous_hom.ωSup_bind /- _inst_1: omega_complete_partial_order ↝ preorder | |
| -/ | |
| -- order/ord_continuous.lean | |
| #print left_ord_continuous.map_Sup' /- _inst_1: complete_lattice ↝ complete_semilattice_Sup | |
| _inst_2: complete_lattice ↝ complete_semilattice_Sup | |
| -/ | |
| -- order/order_iso_nat.lean | |
| #print monotonic_sequence_limit_index /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| -- order/rel_classes.lean | |
| #print is_preorder.swap /- _inst_1: is_preorder ↝ is_refl is_trans | |
| -/ | |
| #print is_strict_order.swap /- _inst_1: is_strict_order ↝ is_irrefl is_trans | |
| -/ | |
| #print is_partial_order.swap /- _inst_1: is_partial_order ↝ is_antisymm is_preorder | |
| -/ | |
| #print is_total_preorder.swap /- _inst_1: is_total_preorder ↝ is_preorder is_total | |
| -/ | |
| #print is_linear_order.swap /- _inst_1: is_linear_order ↝ is_partial_order is_total | |
| -/ | |
| #print ge.is_refl /- _inst_1: preorder ↝ has_le is_refl | |
| -/ | |
| #print ge.is_trans /- _inst_1: preorder ↝ has_le is_trans | |
| -/ | |
| #print has_le.le.is_preorder /- _inst_1: preorder ↝ has_le is_refl is_trans | |
| -/ | |
| #print ge.is_preorder /- _inst_1: preorder ↝ has_le is_refl is_trans | |
| -/ | |
| #print gt.is_irrefl /- _inst_1: preorder ↝ has_lt is_irrefl | |
| -/ | |
| #print gt.is_trans /- _inst_1: preorder ↝ has_lt is_trans | |
| -/ | |
| #print gt.is_asymm /- _inst_1: preorder ↝ has_lt is_asymm | |
| -/ | |
| #print has_lt.lt.is_antisymm /- _inst_1: preorder ↝ has_lt is_asymm | |
| -/ | |
| #print gt.is_antisymm /- _inst_1: preorder ↝ has_lt is_asymm | |
| -/ | |
| #print has_lt.lt.is_strict_order /- _inst_1: preorder ↝ has_lt is_irrefl is_trans | |
| -/ | |
| #print gt.is_strict_order /- _inst_1: preorder ↝ has_lt is_irrefl is_trans | |
| -/ | |
| #print preorder.is_total_preorder /- _inst_1: preorder ↝ has_le is_trans | |
| -/ | |
| #print ge.is_antisymm /- _inst_1: partial_order ↝ has_le is_antisymm | |
| -/ | |
| #print has_le.le.is_partial_order /- _inst_1: partial_order ↝ has_le is_antisymm is_refl is_trans | |
| -/ | |
| #print ge.is_partial_order /- _inst_1: partial_order ↝ has_le is_antisymm is_refl is_trans | |
| -/ | |
| #print ge.is_total /- _inst_1: linear_order ↝ has_le is_total | |
| -/ | |
| #print linear_order.is_total_preorder /- _inst_1: linear_order ↝ has_le is_total_preorder | |
| -/ | |
| #print ge.is_total_preorder /- _inst_1: linear_order ↝ has_le is_total is_trans | |
| -/ | |
| #print has_le.le.is_linear_order /- _inst_1: linear_order ↝ has_le is_antisymm is_refl is_total is_trans | |
| -/ | |
| #print ge.is_linear_order /- _inst_1: linear_order ↝ has_le is_antisymm is_refl is_total is_trans | |
| -/ | |
| #print gt.is_trichotomous /- _inst_1: linear_order ↝ has_lt is_trichotomous | |
| -/ | |
| #print is_strict_total_order'.swap /- _inst_1: is_strict_total_order' ↝ is_strict_order is_trichotomous | |
| -/ | |
| #print has_lt.lt.is_strict_total_order' /- _inst_1: linear_order ↝ has_lt is_irrefl is_trans is_trichotomous | |
| -/ | |
| #print is_order_connected_of_is_strict_total_order' /- _inst_1: is_strict_total_order' ↝ is_trans is_trichotomous | |
| -/ | |
| #print is_strict_total_order_of_is_strict_total_order' /- _inst_1: is_strict_total_order' ↝ is_asymm is_order_connected is_trichotomous | |
| -/ | |
| #print has_lt.lt.is_strict_total_order /- _inst_1: linear_order ↝ has_lt is_strict_total_order' | |
| -/ | |
| #print has_lt.lt.is_order_connected /- _inst_1: linear_order ↝ has_lt is_strict_total_order' | |
| -/ | |
| #print has_lt.lt.is_incomp_trans /- _inst_1: linear_order ↝ has_lt is_strict_weak_order | |
| -/ | |
| #print has_lt.lt.is_strict_weak_order /- _inst_1: linear_order ↝ has_lt is_strict_weak_order | |
| -/ | |
| #print is_extensional_of_is_strict_total_order' /- _inst_1: is_strict_total_order' ↝ is_irrefl is_trichotomous | |
| -/ | |
| #print is_well_order.is_strict_total_order /- _inst_1: is_well_order ↝ is_strict_total_order | |
| -/ | |
| #print is_well_order.is_extensional /- _inst_1: is_well_order ↝ is_extensional | |
| -/ | |
| #print is_well_order.is_trichotomous /- _inst_1: is_well_order ↝ is_trichotomous | |
| -/ | |
| #print is_well_order.is_trans /- _inst_1: is_well_order ↝ is_trans | |
| -/ | |
| #print is_well_order.is_irrefl /- _inst_1: is_well_order ↝ is_irrefl | |
| -/ | |
| #print is_well_order.is_asymm /- _inst_1: is_well_order ↝ is_asymm | |
| -/ | |
| #print is_well_order.linear_order /- _inst_1: is_well_order ↝ is_strict_total_order' | |
| -/ | |
| -- order/rel_iso.lean | |
| #print rel_embedding.is_preorder /- _inst_1: is_preorder ↝ is_refl is_trans | |
| -/ | |
| #print rel_embedding.is_partial_order /- _inst_1: is_partial_order ↝ is_antisymm is_preorder | |
| -/ | |
| #print rel_embedding.is_linear_order /- _inst_1: is_linear_order ↝ is_partial_order is_total | |
| -/ | |
| #print rel_embedding.is_strict_order /- _inst_1: is_strict_order ↝ is_irrefl is_trans | |
| -/ | |
| #print rel_embedding.is_strict_total_order' /- _inst_1: is_strict_total_order' ↝ is_strict_order is_trichotomous | |
| -/ | |
| #print order_embedding.le_iff_le /- _inst_1: preorder ↝ has_le | |
| _inst_2: preorder ↝ has_le | |
| -/ | |
| #print order_embedding.eq_iff_eq /- _inst_1: preorder ↝ has_le | |
| _inst_2: preorder ↝ has_le | |
| -/ | |
| #print order_embedding.of_map_rel_iff /- _inst_3: partial_order ↝ has_le is_antisymm | |
| _inst_4: preorder ↝ has_le is_refl | |
| -/ | |
| #print order_iso.le_iff_le /- _inst_1: preorder ↝ has_le | |
| _inst_2: preorder ↝ has_le | |
| -/ | |
| #print order_iso.map_bot' /- _inst_1: partial_order ↝ has_le | |
| -/ | |
| -- order/semiconj_Sup.lean | |
| #print is_order_right_adjoint /- _inst_2: preorder ↝ has_le | |
| -/ | |
| #print is_order_right_adjoint_Sup /- _inst_1: complete_lattice ↝ complete_semilattice_Sup | |
| -/ | |
| -- order/symm_diff.lean | |
| #print symm_diff_comm /- _inst_1: generalized_boolean_algebra ↝ has_sdiff semilattice_sup | |
| -/ | |
| -- order/well_founded_set.lean | |
| #print set.is_strict_order.subset /- _inst_1: is_strict_order ↝ is_irrefl is_trans | |
| -/ | |
| #print set.well_founded_on_iff_no_descending_seq /- _inst_1: is_strict_order ↝ is_strict_order | |
| -/ | |
| #print set.is_wf_iff_no_descending_seq /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print set.is_pwo /- _inst_1: preorder ↝ has_le | |
| -/ | |
| #print set.partially_well_ordered_on.well_founded_on /- _inst_1: is_partial_order ↝ is_antisymm is_trans | |
| -/ | |
| #print set.is_pwo.exists_monotone_subseq /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print set.is_pwo_iff_exists_monotone_subseq /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print set.is_pwo.image_of_monotone /- _inst_1: partial_order ↝ preorder | |
| _inst_2: partial_order ↝ preorder | |
| -/ | |
| #print finset.is_pwo /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print set.is_wf.min /- _inst_1: partial_order ↝ has_lt | |
| -/ | |
| #print set.is_pwo.add /- _inst_1: ordered_cancel_add_comm_monoid ↝ covariant_class covariant_class has_add partial_order | |
| -/ | |
| #print set.is_pwo.mul /- _inst_1: ordered_cancel_comm_monoid ↝ covariant_class covariant_class has_mul partial_order | |
| -/ | |
| #print set.is_pwo.submonoid_closure /- _inst_1: ordered_cancel_comm_monoid ↝ comm_monoid covariant_class covariant_class preorder | |
| -/ | |
| #print set.is_pwo.add_submonoid_closure /- _inst_1: ordered_cancel_add_comm_monoid ↝ add_comm_monoid covariant_class covariant_class preorder | |
| -/ | |
| #print set.add_antidiagonal /- _inst_1: add_monoid ↝ has_add | |
| -/ | |
| #print set.mul_antidiagonal /- _inst_1: monoid ↝ has_mul | |
| -/ | |
| #print set.add_antidiagonal.fst_eq_fst_iff_snd_eq_snd /- _inst_1: add_cancel_comm_monoid ↝ add_cancel_monoid | |
| -/ | |
| #print set.mul_antidiagonal.fst_eq_fst_iff_snd_eq_snd /- _inst_1: cancel_comm_monoid ↝ cancel_monoid | |
| -/ | |
| #print set.add_antidiagonal.eq_of_fst_le_fst_of_snd_le_snd /- _inst_1: ordered_cancel_add_comm_monoid ↝ add_cancel_comm_monoid covariant_class covariant_class partial_order | |
| -/ | |
| #print set.mul_antidiagonal.eq_of_fst_le_fst_of_snd_le_snd /- _inst_1: ordered_cancel_comm_monoid ↝ cancel_comm_monoid covariant_class covariant_class partial_order | |
| -/ | |
| -- order/zorn.lean | |
| #print zorn.chain.total /- _inst_1: preorder ↝ has_le is_refl | |
| -/ | |
| -- representation_theory/maschke.lean | |
| #print linear_map.conjugate /- _inst_1: comm_ring ↝ comm_semiring has_scalar | |
| _inst_2: group ↝ has_inv monoid | |
| _inst_3: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_7: add_comm_group ↝ add_comm_monoid has_scalar | |
| -/ | |
| -- ring_theory/adjoin/basic.lean | |
| #print algebra.adjoin_singleton_eq_range /- _inst_2: comm_semiring ↝ semiring | |
| -/ | |
| #print algebra.adjoin_singleton_one /- _inst_2: comm_semiring ↝ semiring | |
| -/ | |
| #print algebra.adjoin_int /- _inst_1: comm_ring ↝ is_subring ring | |
| -/ | |
| #print algebra.mem_adjoin_iff /- _inst_1: comm_ring ↝ comm_semiring is_subring no_meet_fake_name | |
| -/ | |
| #print algebra.fg_trans /- _inst_1: comm_ring ↝ comm_semiring is_scalar_tower is_subring module module mul_action no_meet_fake_name | |
| _inst_2: comm_ring ↝ comm_semiring is_scalar_tower is_submonoid is_subring module mul_action no_meet_fake_name | |
| -/ | |
| -- ring_theory/adjoin_root.lean | |
| #print adjoin_root.aeval_alg_hom_eq_zero /- _inst_2: comm_ring ↝ comm_semiring | |
| -/ | |
| -- ring_theory/algebra_tower.lean | |
| #print algebra.adjoin_algebra_map' /- _inst_1: comm_ring ↝ algebra comm_semiring is_scalar_tower is_scalar_tower no_meet_fake_name | |
| _inst_2: comm_ring ↝ algebra comm_semiring is_scalar_tower is_scalar_tower no_meet_fake_name | |
| _inst_3: comm_ring ↝ algebra is_scalar_tower no_meet_fake_name semiring | |
| _inst_5: algebra ↝ algebra is_scalar_tower no_meet_fake_name | |
| -/ | |
| #print algebra.adjoin_algebra_map /- _inst_1: comm_ring ↝ comm_semiring | |
| _inst_2: comm_ring ↝ comm_semiring | |
| _inst_3: comm_ring ↝ semiring | |
| -/ | |
| #print linear_independent_smul /- _inst_1: comm_ring ↝ comm_semiring module no_meet_fake_name smul_with_zero | |
| _inst_2: ring ↝ module semiring | |
| _inst_3: add_comm_group ↝ add_comm_monoid has_scalar no_meet_fake_name smul_with_zero | |
| _inst_4: algebra ↝ has_scalar module | |
| -/ | |
| #print basis.smul /- _inst_3: add_comm_group ↝ add_comm_monoid has_scalar | |
| -/ | |
| #print exists_subalgebra_of_fg /- _inst_1: comm_ring ↝ algebra comm_semiring is_scalar_tower module no_meet_fake_name | |
| _inst_2: comm_ring ↝ algebra comm_semiring is_scalar_tower module no_meet_fake_name | |
| _inst_3: comm_ring ↝ is_scalar_tower module no_meet_fake_name semiring | |
| _inst_7: is_scalar_tower ↝ is_scalar_tower no_meet_fake_name | |
| -/ | |
| #print alg_hom.restrict_domain /- _inst_2: comm_semiring ↝ semiring | |
| _inst_3: comm_semiring ↝ semiring | |
| -/ | |
| -- ring_theory/algebraic.lean | |
| #print is_algebraic /- _inst_1: comm_ring ↝ algebra comm_semiring | |
| _inst_2: ring ↝ semiring | |
| -/ | |
| #print algebra.is_algebraic_of_finite /- _inst_2: field ↝ module ring | |
| -/ | |
| #print inv_eq_of_aeval_div_X_ne_zero /- _inst_3: field ↝ algebra comm_semiring | |
| -/ | |
| -- ring_theory/coprime.lean | |
| #print is_coprime /- _inst_1: comm_semiring ↝ has_add has_mul has_one | |
| -/ | |
| -- ring_theory/dedekind_domain.lean | |
| #print ring.dimension_le_one /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| #print mul_generator_self_inv /- _inst_4: integral_domain ↝ comm_ring module | |
| -/ | |
| -- ring_theory/derivation.lean | |
| #print derivation.map_neg /- _inst_1: comm_ring ↝ comm_semiring module | |
| -/ | |
| #print derivation.map_sub /- _inst_1: comm_ring ↝ comm_semiring module | |
| -/ | |
| -- ring_theory/discrete_valuation_ring.lean | |
| #print discrete_valuation_ring.has_unit_mul_pow_irreducible_factorization /- _inst_1: integral_domain ↝ monoid_with_zero | |
| -/ | |
| #print discrete_valuation_ring.has_unit_mul_pow_irreducible_factorization.of_ufd_of_unique_irreducible /- _inst_2: unique_factorization_monoid ↝ wf_dvd_monoid | |
| -/ | |
| #print discrete_valuation_ring.unit_mul_pow_congr_pow /- _inst_2: discrete_valuation_ring ↝ unique_factorization_monoid | |
| -/ | |
| -- ring_theory/eisenstein_criterion.lean | |
| #print polynomial.eisenstein_criterion_aux.map_eq_C_mul_X_pow_of_forall_coeff_mem /- _inst_1: integral_domain ↝ comm_ring | |
| -/ | |
| #print polynomial.eisenstein_criterion_aux.le_nat_degree_of_map_eq_mul_X_pow /- _inst_1: integral_domain ↝ comm_ring | |
| -/ | |
| #print polynomial.eisenstein_criterion_aux.eval_zero_mem_ideal_of_eq_mul_X_pow /- _inst_1: integral_domain ↝ comm_ring | |
| -/ | |
| #print polynomial.eisenstein_criterion_aux.is_unit_of_nat_degree_eq_zero_of_forall_dvd_is_unit /- _inst_1: integral_domain ↝ comm_ring | |
| -/ | |
| -- ring_theory/finiteness.lean | |
| #print algebra.finite_presentation /- _inst_2: comm_ring ↝ ring | |
| -/ | |
| #print module.is_noetherian.finite /- _inst_1: comm_ring ↝ semiring | |
| _inst_6: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print module.finite.exists_fin /- _inst_1: comm_ring ↝ semiring | |
| _inst_6: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print module.finite.of_surjective /- _inst_1: comm_ring ↝ semiring | |
| _inst_6: add_comm_group ↝ add_comm_monoid | |
| _inst_8: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print module.finite.of_injective /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| #print module.finite.self /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| #print module.finite.trans /- _inst_1: comm_ring ↝ comm_semiring module | |
| _inst_2: comm_ring ↝ comm_semiring module | |
| _inst_4: comm_ring ↝ module semiring | |
| _inst_5: algebra ↝ has_scalar module | |
| _inst_10: algebra ↝ has_scalar module | |
| -/ | |
| #print ring_hom.finite /- _inst_1: comm_ring ↝ comm_semiring module | |
| _inst_2: comm_ring ↝ comm_semiring module | |
| -/ | |
| #print alg_hom.finite /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print alg_hom.finite_type /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print alg_hom.finite_presentation /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print add_monoid_algebra.of'_mem_span /- _inst_1: comm_ring ↝ module module no_meet_fake_name semiring | |
| _inst_2: add_comm_monoid ↝ add_zero_class | |
| -/ | |
| #print monoid_algebra.of_mem_span_of_iff /- _inst_1: comm_ring ↝ module module no_meet_fake_name semiring | |
| _inst_2: comm_monoid ↝ mul_one_class | |
| -/ | |
| -- ring_theory/fractional_ideal.lean | |
| #print ring.fractional_ideal.exists_ne_zero_mem_is_integer /- _inst_4: field ↝ comm_ring module no_zero_divisors | |
| -/ | |
| #print ring.fractional_ideal.map_ne_zero /- _inst_5: field ↝ comm_ring | |
| -/ | |
| #print ring.fractional_ideal.nontrivial /- _inst_4: integral_domain ↝ comm_ring has_mem | |
| _inst_5: field ↝ integral_domain | |
| -/ | |
| #print ring.fractional_ideal.fractional_div_of_nonzero /- _inst_5: field ↝ comm_ring module mul_action no_zero_divisors | |
| -/ | |
| #print ring.fractional_ideal.is_principal /- _inst_9: is_principal_ideal_ring ↝ no_meet_fake_name submodule.is_principal | |
| -/ | |
| #print ring.fractional_ideal.is_noetherian_zero /- _inst_4: integral_domain ↝ comm_ring module module module no_meet_fake_name | |
| _inst_5: field ↝ comm_ring module module module no_meet_fake_name | |
| -/ | |
| #print ring.fractional_ideal.is_noetherian_iff /- _inst_4: integral_domain ↝ comm_ring module module module no_meet_fake_name | |
| _inst_5: field ↝ comm_ring module module module no_meet_fake_name | |
| -/ | |
| #print ring.fractional_ideal.is_noetherian_coe_to_fractional_ideal /- _inst_7: is_noetherian_ring ↝ is_noetherian | |
| -/ | |
| -- ring_theory/hahn_series.lean | |
| #print hahn_series.order_le_of_coeff_ne_zero /- _inst_4: linear_ordered_cancel_add_comm_monoid ↝ has_zero linear_order | |
| -/ | |
| #print hahn_series.min_order_le_order_add /- _inst_3: linear_ordered_cancel_add_comm_monoid ↝ has_zero linear_order | |
| -/ | |
| #print hahn_series.smul_coeff /- _inst_4: distrib_mul_action ↝ has_scalar has_scalar | |
| -/ | |
| #print hahn_series.has_one /- _inst_1: ordered_cancel_add_comm_monoid ↝ has_zero partial_order | |
| -/ | |
| #print hahn_series.single_zero_mul_eq_smul /- _inst_2: semiring ↝ has_scalar non_unital_non_assoc_semiring | |
| -/ | |
| #print hahn_series.emb_domain_one /- _inst_3: non_assoc_semiring ↝ mul_zero_one_class | |
| -/ | |
| -- ring_theory/ideal/basic.lean | |
| #print ideal.bot_prime /- _inst_2: integral_domain ↝ domain no_zero_divisors | |
| -/ | |
| #print ideal.maximal_of_no_maximal /- _inst_2: comm_semiring ↝ semiring | |
| -/ | |
| #print ideal.quotient /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| #print ideal.map_pi /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print zero_mem_nonunits /- _inst_1: semiring ↝ monoid_with_zero | |
| -/ | |
| -- ring_theory/ideal/operations.lean | |
| #print ideal.add_eq_sup /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print ideal.zero_eq_bot /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print ideal.one_eq_top /- _inst_1: comm_ring ↝ comm_semiring module | |
| -/ | |
| #print ideal.mul_eq_bot /- _inst_2: integral_domain ↝ comm_ring no_zero_divisors | |
| -/ | |
| #print ideal.radical_bot_of_integral_domain /- _inst_2: integral_domain ↝ comm_ring no_zero_divisors | |
| -/ | |
| #print ideal.comm_semiring /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print ideal.subset_union /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| #print ideal.map /- _inst_1: ring ↝ semiring | |
| _inst_2: ring ↝ semiring | |
| -/ | |
| #print ring_hom.ker_is_prime /- _inst_2: integral_domain ↝ domain no_zero_divisors | |
| -/ | |
| #print ideal.quotient.algebra /- _inst_1: comm_ring ↝ comm_semiring | |
| -/ | |
| #print ideal.quotient.alg_map_eq /- _inst_1: comm_ring ↝ algebra comm_semiring | |
| -/ | |
| -- ring_theory/ideal/over.lean | |
| #print ideal.coeff_zero_mem_comap_of_root_mem_of_eval_mem /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| #print ideal.exists_coeff_ne_zero_mem_comap_of_root_mem /- _inst_2: integral_domain ↝ comm_ring no_zero_divisors | |
| -/ | |
| #print ideal.exists_coeff_mem_comap_sdiff_comap_of_root_mem_sdiff /- _inst_2: integral_domain ↝ comm_ring | |
| -/ | |
| #print ideal.mem_of_one_mem /- _inst_2: integral_domain ↝ semiring | |
| -/ | |
| #print ideal.is_maximal_comap_of_is_integral_of_is_maximal /- _inst_2: integral_domain ↝ comm_ring ideal.is_prime no_meet_fake_name | |
| -/ | |
| #print ideal.exists_ideal_over_prime_of_is_integral /- _inst_2: integral_domain ↝ comm_ring ideal.is_prime no_meet_fake_name | |
| -/ | |
| -- ring_theory/integral_closure.lean | |
| #print ring_hom.is_integral_elem /- _inst_1: comm_ring ↝ semiring | |
| _inst_2: ring ↝ semiring | |
| -/ | |
| #print is_integral_alg_hom /- _inst_2: comm_ring ↝ ring | |
| _inst_3: comm_ring ↝ ring | |
| -/ | |
| #print is_integral_of_is_scalar_tower /- _inst_3: comm_ring ↝ ring | |
| -/ | |
| #print ring_hom.is_integral_zero /- _inst_4: comm_ring ↝ ring | |
| -/ | |
| #print ring_hom.is_integral_one /- _inst_4: comm_ring ↝ ring | |
| -/ | |
| #print is_integral_trans_aux /- _inst_2: comm_ring ↝ algebra comm_semiring | |
| -/ | |
| #print ring_hom.is_integral_of_surjective /- _inst_4: comm_ring ↝ ring | |
| -/ | |
| #print ring_hom.is_integral_elem_of_is_integral_elem_comp /- _inst_5: comm_ring ↝ ring | |
| -/ | |
| #print is_integral_tower_top_of_is_integral /- _inst_3: comm_ring ↝ ring | |
| -/ | |
| -- ring_theory/integral_domain.lean | |
| #print card_nth_roots_subgroup_units /- _inst_2: group ↝ monoid | |
| -/ | |
| -- ring_theory/jacobson.lean | |
| #print ideal.polynomial.quotient_mk_comp_C_is_integral_of_jacobson /- _inst_1: integral_domain ↝ comm_ring | |
| -/ | |
| -- ring_theory/jacobson_ideal.lean | |
| #print ideal.jacobson /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| #print ideal.comap_jacobson /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| -- ring_theory/laurent_series.lean | |
| #print laurent_series.power_series_part /- _inst_1: semiring ↝ has_zero | |
| -/ | |
| -- ring_theory/localization.lean | |
| #print is_localization.is_integer /- _inst_2: comm_ring ↝ ring | |
| -/ | |
| #print is_localization.is_unit_comp /- _inst_4: comm_ring ↝ comm_semiring | |
| -/ | |
| #print is_localization.eq_of_eq /- _inst_4: comm_ring ↝ comm_semiring | |
| -/ | |
| #print is_localization.epic_of_localization_map /- _inst_4: comm_ring ↝ comm_semiring | |
| -/ | |
| #print localization.has_zero /- _inst_1: comm_ring ↝ comm_monoid_with_zero | |
| -/ | |
| #print is_localization.coe_submodule /- _inst_1: comm_ring ↝ comm_semiring module | |
| _inst_2: comm_ring ↝ module semiring | |
| -/ | |
| #print is_localization.integer_normalization_eval₂_eq_zero /- _inst_9: comm_ring ↝ semiring | |
| -/ | |
| #print is_fraction_ring.is_unit_map_of_injective /- _inst_8: field ↝ division_ring | |
| -/ | |
| #print is_fraction_ring.lift /- _inst_7: field ↝ comm_ring | |
| -/ | |
| #print is_fraction_ring.map /- _inst_7: field ↝ comm_ring | |
| _inst_8: field ↝ comm_ring | |
| -/ | |
| #print is_fraction_ring.field_equiv_of_ring_equiv /- _inst_7: field ↝ comm_ring | |
| _inst_8: field ↝ comm_ring | |
| -/ | |
| #print is_fraction_ring.integer_normalization_eq_zero_iff /- _inst_7: field ↝ comm_ring distrib_mul_action no_zero_divisors | |
| -/ | |
| #print is_fraction_ring.comap_is_algebraic_iff /- _inst_8: field ↝ comm_ring | |
| -/ | |
| #print is_fraction_ring.exists_reduced_fraction /- _inst_7: field ↝ integral_domain | |
| -/ | |
| #print fraction_ring /- _inst_5: integral_domain ↝ comm_monoid_with_zero | |
| -/ | |
| #print fraction_ring.alg_equiv /- _inst_6: field ↝ comm_ring | |
| -/ | |
| -- ring_theory/matrix_algebra.lean | |
| #print matrix_equiv_tensor.inv_fun /- _inst_3: algebra ↝ module | |
| -/ | |
| -- ring_theory/multiplicity.lean | |
| #print multiplicity /- _inst_1: comm_monoid ↝ has_dvd has_pow | |
| -/ | |
| #print multiplicity.finite /- _inst_1: comm_monoid ↝ has_dvd has_pow | |
| -/ | |
| -- ring_theory/mv_polynomial/basic.lean | |
| #print mv_polynomial.map_range_eq_map /- _inst_2: comm_ring ↝ comm_semiring | |
| _inst_3: comm_ring ↝ comm_semiring | |
| -/ | |
| -- ring_theory/nilpotent.lean | |
| #print commute.is_nilpotent_mul_left /- _inst_1: semiring ↝ monoid_with_zero | |
| -/ | |
| -- ring_theory/noetherian.lean | |
| #print submodule.map_fg_of_fg /- _inst_7: comm_ring ↝ ring | |
| -/ | |
| #print submodule.fg_ker_comp /- _inst_11: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print submodule.fg_restrict_scalars /- _inst_6: comm_ring ↝ comm_semiring | |
| _inst_7: comm_ring ↝ semiring | |
| _inst_9: add_comm_group ↝ add_comm_monoid has_scalar | |
| -/ | |
| #print is_noetherian_of_surjective /- _inst_1: ring ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| _inst_3: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print is_noetherian_of_injective /- _inst_6: is_noetherian ↝ is_noetherian no_meet_fake_name | |
| -/ | |
| #print is_noetherian_iff_well_founded /- _inst_1: ring ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print ring.is_noetherian_of_fintype /- _inst_2: ring ↝ semiring | |
| _inst_3: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print is_noetherian_of_fg_of_noetherian /- _inst_4: is_noetherian_ring ↝ is_noetherian | |
| -/ | |
| #print is_noetherian_ring_of_surjective /- _inst_1: comm_ring ↝ ring | |
| _inst_2: comm_ring ↝ ring | |
| -/ | |
| #print submodule.fg_mul /- _inst_1: comm_ring ↝ comm_semiring module | |
| _inst_2: ring ↝ module semiring | |
| -/ | |
| #print exists_prime_spectrum_prod_le /- _inst_2: is_noetherian_ring ↝ is_noetherian | |
| -/ | |
| #print exists_prime_spectrum_prod_le_and_ne_bot_of_domain /- _inst_4: is_noetherian_ring ↝ is_noetherian | |
| -/ | |
| -- ring_theory/non_zero_divisors.lean | |
| #print mul_mem_non_zero_divisors /- _inst_1: comm_ring ↝ comm_monoid_with_zero | |
| -/ | |
| #print eq_zero_of_ne_zero_of_mul_right_eq_zero /- _inst_2: integral_domain ↝ has_mul has_zero no_zero_divisors | |
| -/ | |
| #print eq_zero_of_ne_zero_of_mul_left_eq_zero /- _inst_2: integral_domain ↝ has_mul has_zero no_zero_divisors | |
| -/ | |
| #print map_ne_zero_of_mem_non_zero_divisors /- _inst_1: comm_ring ↝ semiring | |
| _inst_4: ring ↝ non_assoc_semiring | |
| -/ | |
| #print le_non_zero_divisors_of_domain /- _inst_2: integral_domain ↝ has_add monoid_with_zero no_zero_divisors | |
| -/ | |
| #print map_le_non_zero_divisors_of_injective /- _inst_2: integral_domain ↝ domain | |
| -/ | |
| #print prod_zero_iff_exists_zero /- _inst_3: comm_semiring ↝ comm_monoid_with_zero | |
| -/ | |
| -- ring_theory/norm.lean | |
| #print algebra.norm /- _inst_2: integral_domain ↝ algebra module no_meet_fake_name ring | |
| -/ | |
| #print algebra.norm_algebra_map /- _inst_7: field ↝ integral_domain module | |
| -/ | |
| -- ring_theory/nullstellensatz.lean | |
| #print mv_polynomial.zero_locus /- _inst_1: field ↝ integral_domain | |
| -/ | |
| -- ring_theory/perfection.lean | |
| #print ring.perfection /- _inst_1: comm_semiring ↝ has_pow | |
| -/ | |
| #print mod_p /- _inst_1: field ↝ comm_ring | |
| -/ | |
| -- ring_theory/polynomial/basic.lean | |
| #print polynomial.degree_le /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| #print polynomial.degree_lt /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| #print polynomial.frange /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| #print polynomial.eval₂_restriction /- _inst_2: ring ↝ semiring | |
| -/ | |
| #print polynomial.of_subring /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| #print polynomial.disjoint_ker_aeval_of_coprime /- _inst_1: comm_ring ↝ algebra algebra comm_semiring no_meet_fake_name | |
| _inst_2: add_comm_group ↝ add_comm_monoid algebra no_meet_fake_name | |
| -/ | |
| #print polynomial.sup_aeval_range_eq_top_of_coprime /- _inst_2: add_comm_group ↝ add_comm_monoid algebra no_meet_fake_name | |
| -/ | |
| #print polynomial.sup_ker_aeval_le_ker_aeval_mul /- _inst_2: add_comm_group ↝ add_comm_monoid algebra no_meet_fake_name | |
| -/ | |
| #print mv_polynomial.map_mv_polynomial_eq_eval₂ /- _inst_4: comm_ring ↝ comm_semiring | |
| -/ | |
| -- ring_theory/polynomial/bernstein.lean | |
| #print bernstein_polynomial /- _inst_1: comm_ring ↝ ring | |
| -/ | |
| -- ring_theory/polynomial/content.lean | |
| #print polynomial.is_primitive /- _inst_1: comm_semiring ↝ semiring | |
| -/ | |
| -- ring_theory/polynomial/gauss_lemma.lean | |
| #print polynomial.is_primitive.is_unit_iff_is_unit_map /- _inst_3: field ↝ integral_domain | |
| -/ | |
| #print polynomial.is_primitive.dvd_of_fraction_map_dvd_fraction_map /- _inst_3: field ↝ algebra has_scalar integral_domain | |
| -/ | |
| -- ring_theory/polynomial/rational_root.lean | |
| #print scale_roots_aeval_eq_zero_of_aeval_mk'_eq_zero /- _inst_1: integral_domain ↝ algebra comm_ring | |
| -/ | |
| -- ring_theory/polynomial/scale_roots.lean | |
| #print scale_roots /- _inst_3: comm_ring ↝ ring | |
| -/ | |
| #print scale_roots_eval₂_eq_zero /- _inst_3: comm_ring ↝ comm_semiring | |
| -/ | |
| -- ring_theory/power_basis.lean | |
| #print power_basis.coe_basis /- _inst_2: comm_ring ↝ module ring | |
| -/ | |
| #print power_basis.finite_dimensional /- _inst_2: comm_ring ↝ module ring | |
| -/ | |
| #print power_basis.finrank /- _inst_2: comm_ring ↝ module ring | |
| -/ | |
| #print power_basis.mem_span_pow' /- _inst_1: comm_ring ↝ algebra comm_semiring module smul_comm_class | |
| _inst_2: comm_ring ↝ module semiring smul_comm_class | |
| -/ | |
| #print power_basis.minpoly_gen /- _inst_2: comm_ring ↝ module ring | |
| _inst_8: integral_domain ↝ comm_ring module | |
| -/ | |
| #print power_basis.dim_le_nat_degree_of_root /- _inst_8: integral_domain ↝ algebra comm_ring module no_meet_fake_name smul_with_zero | |
| -/ | |
| #print power_basis.nat_degree_lt_nat_degree /- _inst_1: comm_ring ↝ semiring | |
| -/ | |
| #print is_integral.linear_independent_pow /- _inst_2: comm_ring ↝ module ring | |
| -/ | |
| -- ring_theory/power_series/basic.lean | |
| #print mv_power_series.X_pow_dvd_iff /- _inst_1: comm_semiring ↝ module semiring | |
| -/ | |
| #print mv_power_series.is_local_ring /- _inst_1: comm_ring ↝ integral_domain | |
| -/ | |
| #print mv_power_series.map.is_local_ring_hom /- _inst_2: comm_ring ↝ semiring | |
| -/ | |
| #print mv_power_series.local_ring /- _inst_1: comm_ring ↝ integral_domain | |
| -/ | |
| #print mv_power_series.inv /- _inst_1: field ↝ has_inv ring | |
| -/ | |
| #print power_series.trunc /- _inst_1: comm_semiring ↝ module semiring | |
| -/ | |
| #print power_series.eval_neg_hom /- _inst_1: comm_ring ↝ comm_semiring has_neg | |
| -/ | |
| #print power_series.eq_zero_or_eq_zero_of_mul_eq_zero /- _inst_1: integral_domain ↝ module no_zero_divisors ring | |
| -/ | |
| #print polynomial.coe_to_power_series /- _inst_1: comm_semiring ↝ semiring | |
| -/ | |
| -- ring_theory/power_series/well_known.lean | |
| #print power_series.inv_units_sub /- _inst_1: ring ↝ monoid | |
| -/ | |
| #print power_series.exp /- _inst_1: ring ↝ semiring | |
| -/ | |
| #print power_series.sin /- _inst_1: ring ↝ semiring | |
| -/ | |
| #print power_series.cos /- _inst_1: ring ↝ semiring | |
| -/ | |
| -- ring_theory/principal_ideal_domain.lean | |
| #print is_prime.to_maximal_ideal /- _inst_2: is_principal_ideal_ring ↝ no_meet_fake_name submodule.is_principal | |
| -/ | |
| #print principal_ideal_ring.is_noetherian_ring /- _inst_2: is_principal_ideal_ring ↝ no_meet_fake_name submodule.is_principal | |
| -/ | |
| #print principal_ideal_ring.is_maximal_of_irreducible /- _inst_2: is_principal_ideal_ring ↝ no_meet_fake_name submodule.is_principal | |
| -/ | |
| #print principal_ideal_ring.ring_hom_mem_submonoid_of_factors_subset_of_units_subset /- _inst_5: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- ring_theory/roots_of_unity.lean | |
| #print roots_of_unity.coe_pow /- _inst_5: integral_domain ↝ comm_monoid | |
| -/ | |
| #print is_primitive_root.gpow_eq_one /- _inst_3: comm_group ↝ comm_group_with_zero | |
| -/ | |
| #print is_primitive_root.mem_roots_of_unity /- _inst_5: integral_domain ↝ comm_monoid | |
| -/ | |
| #print is_primitive_root.pow /- _inst_5: integral_domain ↝ comm_monoid | |
| -/ | |
| #print is_primitive_root.is_integral /- _inst_7: field ↝ comm_ring | |
| -/ | |
| -- ring_theory/simple_module.lean | |
| #print is_simple_module /- _inst_1: ring ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print is_semisimple_module /- _inst_1: ring ↝ semiring | |
| _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print linear_map.surjective_or_eq_zero /- _inst_2: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| -- ring_theory/subring.lean | |
| #print ring_hom.restrict /- _inst_2: ring ↝ non_assoc_semiring | |
| -/ | |
| #print ring_hom.eq_of_eq_on_set_top /- _inst_2: ring ↝ non_assoc_semiring | |
| -/ | |
| #print subring.range_fst /- _inst_1: ring ↝ non_assoc_semiring | |
| _inst_2: ring ↝ non_assoc_semiring | |
| -/ | |
| #print subring.range_snd /- _inst_1: ring ↝ non_assoc_semiring | |
| _inst_2: ring ↝ non_assoc_semiring | |
| -/ | |
| #print subring.smul_comm_class_right /- _inst_6: smul_comm_class ↝ no_meet_fake_name smul_comm_class | |
| -/ | |
| -- ring_theory/subsemiring.lean | |
| #print subsemiring.smul_comm_class_right /- _inst_7: smul_comm_class ↝ no_meet_fake_name smul_comm_class | |
| -/ | |
| -- ring_theory/tensor_product.lean | |
| #print linear_map.base_change_sub /- _inst_1: comm_ring ↝ comm_semiring is_scalar_tower is_scalar_tower module module module smul_comm_class | |
| -/ | |
| #print linear_map.base_change_neg /- _inst_1: comm_ring ↝ comm_semiring is_scalar_tower is_scalar_tower module module module smul_comm_class | |
| -/ | |
| #print algebra.tensor_product.mul_assoc' /- _inst_3: algebra ↝ module module | |
| _inst_5: algebra ↝ module module | |
| -/ | |
| -- ring_theory/trace.lean | |
| #print algebra.trace_algebra_map /- _inst_7: field ↝ comm_ring module | |
| -/ | |
| -- ring_theory/unique_factorization_domain.lean | |
| #print is_noetherian_ring.wf_dvd_monoid /- _inst_2: is_noetherian_ring ↝ is_noetherian | |
| -/ | |
| #print associates.factor_set /- _inst_2: comm_cancel_monoid_with_zero ↝ comm_monoid_with_zero | |
| -/ | |
| -- ring_theory/witt_vector/init_tail.lean | |
| #print witt_vector.select /- _inst_1: comm_ring ↝ has_zero | |
| -/ | |
| -- ring_theory/witt_vector/teichmuller.lean | |
| #print witt_vector.teichmuller_fun /- _inst_1: comm_ring ↝ has_zero | |
| -/ | |
| -- ring_theory/witt_vector/truncated.lean | |
| #print truncated_witt_vector.out /- _inst_1: comm_ring ↝ has_zero | |
| -/ | |
| #print witt_vector.lift_fun /- _inst_2: semiring ↝ non_assoc_semiring | |
| -/ | |
| -- ring_theory/witt_vector/verschiebung.lean | |
| #print witt_vector.verschiebung_fun /- _inst_1: comm_ring ↝ has_zero | |
| -/ | |
| -- ring_theory/witt_vector/witt_polynomial.lean | |
| #print aeval_witt_polynomial /- _inst_3: comm_ring ↝ comm_semiring | |
| -/ | |
| -- set_theory/zfc.lean | |
| #print Set.map_definable_aux /- H: pSet.definable ↝ | |
| -/ | |
| -- tactic/abel.lean | |
| #print tactic.abel.term /- _inst_1: add_comm_monoid ↝ add_monoid | |
| -/ | |
| #print tactic.abel.termg /- _inst_1: add_comm_group ↝ sub_neg_monoid | |
| -/ | |
| #print tactic.abel.smul /- _inst_1: add_comm_monoid ↝ add_monoid | |
| -/ | |
| #print tactic.abel.smulg /- _inst_1: add_comm_group ↝ sub_neg_monoid | |
| -/ | |
| #print tactic.abel.unfold_sub /- _inst_1: add_group ↝ sub_neg_monoid | |
| -/ | |
| -- tactic/cancel_denoms.lean | |
| #print cancel_factors.mul_subst /- _inst_1: comm_ring ↝ comm_semigroup | |
| -/ | |
| #print cancel_factors.div_subst /- _inst_1: field ↝ comm_group_with_zero | |
| -/ | |
| #print cancel_factors.cancel_factors_eq_div /- _inst_1: field ↝ comm_group_with_zero | |
| -/ | |
| -- tactic/linarith/lemmas.lean | |
| #print linarith.eq_of_eq_of_eq /- _inst_1: ordered_semiring ↝ add_zero_class | |
| -/ | |
| #print linarith.le_of_eq_of_le /- _inst_1: ordered_semiring ↝ add_zero_class has_le | |
| -/ | |
| #print linarith.lt_of_eq_of_lt /- _inst_1: ordered_semiring ↝ add_zero_class has_lt | |
| -/ | |
| #print linarith.le_of_le_of_eq /- _inst_1: ordered_semiring ↝ add_zero_class has_le | |
| -/ | |
| #print linarith.lt_of_lt_of_eq /- _inst_1: ordered_semiring ↝ add_zero_class has_lt | |
| -/ | |
| #print linarith.mul_eq /- _inst_1: ordered_semiring ↝ has_lt mul_zero_class | |
| -/ | |
| #print linarith.mul_zero_eq /- _inst_1: semiring ↝ mul_zero_class | |
| -/ | |
| #print linarith.zero_mul_eq /- _inst_1: semiring ↝ mul_zero_class | |
| -/ | |
| -- tactic/norm_num.lean | |
| #print norm_num.zero_succ /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print norm_num.one_succ /- _inst_1: semiring ↝ has_add has_one | |
| -/ | |
| #print norm_num.bit0_succ /- _inst_1: semiring ↝ has_add has_one | |
| -/ | |
| #print norm_num.bit1_succ /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.zero_adc /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print norm_num.adc_zero /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print norm_num.one_add /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.add_bit0_bit0 /- _inst_1: semiring ↝ add_comm_semigroup | |
| -/ | |
| #print norm_num.add_bit0_bit1 /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.add_bit1_bit0 /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.add_bit1_bit1 /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.adc_one_one /- _inst_1: semiring ↝ has_add has_one | |
| -/ | |
| #print norm_num.adc_bit0_one /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.adc_one_bit0 /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.adc_bit1_one /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.adc_one_bit1 /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.adc_bit0_bit0 /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.adc_bit1_bit0 /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.adc_bit0_bit1 /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.adc_bit1_bit1 /- _inst_1: semiring ↝ add_comm_semigroup has_one | |
| -/ | |
| #print norm_num.bit0_mul /- _inst_1: semiring ↝ distrib | |
| -/ | |
| #print norm_num.mul_bit0' /- _inst_1: semiring ↝ distrib | |
| -/ | |
| #print norm_num.mul_bit1_bit1 /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print norm_num.ne_zero_of_pos /- _inst_1: ordered_add_comm_group ↝ has_zero preorder | |
| -/ | |
| #print norm_num.clear_denom_div /- _inst_1: division_ring ↝ group_with_zero | |
| -/ | |
| #print norm_num.nonneg_pos /- _inst_1: ordered_cancel_add_comm_monoid ↝ has_zero preorder | |
| -/ | |
| #print norm_num.nat_cast_zero /- _inst_1: semiring ↝ has_add mul_zero_one_class | |
| -/ | |
| #print norm_num.nat_cast_one /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print norm_num.nat_cast_bit0 /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print norm_num.nat_cast_bit1 /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print norm_num.int_cast_zero /- _inst_1: ring ↝ has_add has_neg mul_zero_one_class | |
| -/ | |
| #print norm_num.int_cast_one /- _inst_1: ring ↝ has_neg non_assoc_semiring | |
| -/ | |
| #print norm_num.nat_cast_ne /- _inst_1: semiring ↝ non_assoc_semiring | |
| -/ | |
| #print norm_num.clear_denom_add /- _inst_1: division_ring ↝ domain | |
| -/ | |
| #print norm_num.clear_denom_simple_nat /- _inst_1: division_ring ↝ domain | |
| -/ | |
| #print norm_num.clear_denom_simple_div /- _inst_1: division_ring ↝ group_with_zero | |
| -/ | |
| #print norm_num.clear_denom_mul /- _inst_1: field ↝ comm_cancel_monoid_with_zero | |
| -/ | |
| #print norm_num.inv_one /- _inst_1: division_ring ↝ group_with_zero | |
| -/ | |
| #print norm_num.inv_one_div /- _inst_1: division_ring ↝ group_with_zero | |
| -/ | |
| #print norm_num.inv_div_one /- _inst_1: division_ring ↝ div_inv_monoid | |
| -/ | |
| #print norm_num.inv_div /- _inst_1: division_ring ↝ group_with_zero | |
| -/ | |
| #print norm_num.div_eq /- _inst_1: division_ring ↝ div_inv_monoid | |
| -/ | |
| #print norm_num.sub_pos /- _inst_1: add_group ↝ sub_neg_monoid | |
| -/ | |
| -- tactic/ring.lean | |
| #print tactic.ring.horner /- _inst_1: comm_semiring ↝ has_add has_mul has_pow | |
| -/ | |
| #print tactic.ring.pow_succ /- _inst_1: comm_semiring ↝ monoid | |
| -/ | |
| #print tactic.ring.subst_into_pow /- _inst_1: monoid ↝ has_pow | |
| -/ | |
| #print tactic.ring.unfold_sub /- _inst_1: add_group ↝ sub_neg_monoid | |
| -/ | |
| #print tactic.ring.unfold_div /- _inst_1: division_ring ↝ div_inv_monoid | |
| -/ | |
| #print tactic.ring.add_neg_eq_sub /- _inst_1: add_group ↝ sub_neg_monoid | |
| -/ | |
| -- tactic/ring_exp.lean | |
| #print tactic.ring_exp.sum_congr /- _inst_1: comm_semiring ↝ has_add is_commutative | |
| -/ | |
| #print tactic.ring_exp.prod_congr /- _inst_1: comm_semiring ↝ has_mul is_commutative | |
| -/ | |
| #print tactic.ring_exp.exp_congr /- _inst_1: comm_semiring ↝ has_pow | |
| -/ | |
| #print tactic.ring_exp.base_to_exp_pf /- _inst_1: comm_semiring ↝ monoid | |
| -/ | |
| #print tactic.ring_exp.exp_to_prod_pf /- _inst_1: comm_semiring ↝ mul_one_class | |
| -/ | |
| #print tactic.ring_exp.prod_to_sum_pf /- _inst_1: comm_semiring ↝ add_zero_class | |
| -/ | |
| #print tactic.ring_exp.atom_to_sum_pf /- _inst_1: comm_semiring ↝ semiring | |
| -/ | |
| #print tactic.ring_exp.mul_coeff_pf_one_mul /- _inst_1: comm_semiring ↝ mul_one_class | |
| -/ | |
| #print tactic.ring_exp.mul_coeff_pf_mul_one /- _inst_1: comm_semiring ↝ mul_one_class | |
| -/ | |
| #print tactic.ring_exp.add_overlap_pf /- _inst_1: comm_semiring ↝ distrib | |
| -/ | |
| #print tactic.ring_exp.add_overlap_pf_zero /- _inst_1: comm_semiring ↝ non_unital_non_assoc_semiring | |
| -/ | |
| #print tactic.ring_exp.add_pf_z_sum /- _inst_1: comm_semiring ↝ add_zero_class | |
| -/ | |
| #print tactic.ring_exp.add_pf_sum_z /- _inst_1: comm_semiring ↝ add_zero_class | |
| -/ | |
| #print tactic.ring_exp.add_pf_sum_overlap /- _inst_1: comm_semiring ↝ has_add is_associative is_commutative | |
| -/ | |
| #print tactic.ring_exp.add_pf_sum_overlap_zero /- _inst_1: comm_semiring ↝ add_zero_class is_associative is_commutative | |
| -/ | |
| #print tactic.ring_exp.add_pf_sum_lt /- _inst_1: comm_semiring ↝ has_add is_associative is_commutative | |
| -/ | |
| #print tactic.ring_exp.add_pf_sum_gt /- _inst_1: comm_semiring ↝ has_add is_associative is_commutative | |
| -/ | |
| #print tactic.ring_exp.mul_pf_c_c /- _inst_1: comm_semiring ↝ has_mul is_commutative | |
| -/ | |
| #print tactic.ring_exp.mul_pf_c_prod /- _inst_1: comm_semiring ↝ has_mul is_associative is_commutative | |
| -/ | |
| #print tactic.ring_exp.mul_pf_prod_c /- _inst_1: comm_semiring ↝ has_mul is_associative is_commutative | |
| -/ | |
| #print tactic.ring_exp.mul_pp_pf_overlap /- _inst_1: comm_semiring ↝ is_commutative monoid | |
| -/ | |
| #print tactic.ring_exp.mul_pp_pf_prod_lt /- _inst_1: comm_semiring ↝ has_mul is_associative is_commutative | |
| -/ | |
| #print tactic.ring_exp.mul_pp_pf_prod_gt /- _inst_1: comm_semiring ↝ has_mul is_associative is_commutative | |
| -/ | |
| #print tactic.ring_exp.mul_p_pf_zero /- _inst_1: comm_semiring ↝ mul_zero_class | |
| -/ | |
| #print tactic.ring_exp.mul_p_pf_sum /- _inst_1: comm_semiring ↝ distrib | |
| -/ | |
| #print tactic.ring_exp.mul_pf_zero /- _inst_1: comm_semiring ↝ mul_zero_class | |
| -/ | |
| #print tactic.ring_exp.mul_pf_sum /- _inst_1: comm_semiring ↝ distrib | |
| -/ | |
| #print tactic.ring_exp.pow_e_pf_exp /- _inst_1: comm_semiring ↝ monoid | |
| -/ | |
| #print tactic.ring_exp.pow_pp_pf_one /- _inst_1: comm_semiring ↝ monoid | |
| -/ | |
| #print tactic.ring_exp.pow_pf_c_c /- _inst_1: comm_semiring ↝ has_pow | |
| -/ | |
| #print tactic.ring_exp.pow_pp_pf_c /- _inst_1: comm_semiring ↝ has_pow mul_one_class | |
| -/ | |
| #print tactic.ring_exp.pow_pp_pf_prod /- _inst_1: comm_semiring ↝ comm_monoid | |
| -/ | |
| #print tactic.ring_exp.pow_p_pf_one /- _inst_1: comm_semiring ↝ monoid | |
| -/ | |
| #print tactic.ring_exp.pow_p_pf_zero /- _inst_1: comm_semiring ↝ monoid_with_zero | |
| -/ | |
| #print tactic.ring_exp.pow_p_pf_succ /- _inst_1: comm_semiring ↝ monoid | |
| -/ | |
| #print tactic.ring_exp.pow_p_pf_singleton /- _inst_1: comm_semiring ↝ add_zero_class has_pow | |
| -/ | |
| #print tactic.ring_exp.pow_p_pf_cons /- _inst_1: comm_semiring ↝ has_pow | |
| -/ | |
| #print tactic.ring_exp.pow_pf_zero /- _inst_1: comm_semiring ↝ monoid | |
| -/ | |
| #print tactic.ring_exp.pow_pf_sum /- _inst_1: comm_semiring ↝ monoid | |
| -/ | |
| #print tactic.ring_exp.simple_pf_sum_zero /- _inst_1: comm_semiring ↝ add_zero_class | |
| -/ | |
| #print tactic.ring_exp.simple_pf_prod_one /- _inst_1: comm_semiring ↝ mul_one_class | |
| -/ | |
| #print tactic.ring_exp.simple_pf_var_one /- _inst_1: comm_semiring ↝ monoid | |
| -/ | |
| #print tactic.ring_exp.simple_pf_exp_one /- _inst_1: comm_semiring ↝ monoid | |
| -/ | |
| #print tactic.ring_exp.inverse_pf /- _inst_2: division_ring ↝ has_inv | |
| -/ | |
| #print tactic.ring_exp.sub_pf /- _inst_2: ring ↝ sub_neg_monoid | |
| -/ | |
| #print tactic.ring_exp.div_pf /- _inst_2: division_ring ↝ div_inv_monoid | |
| -/ | |
| -- topology/G_delta.lean | |
| #print is_Gδ_set_of_continuous_at /- _inst_2: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| -- topology/algebra/affine.lean | |
| #print affine_map.continuous_iff /- _inst_8: topological_add_group ↝ has_continuous_add has_continuous_sub | |
| -/ | |
| -- topology/algebra/algebra.lean | |
| #print continuous_algebra_map_iff_smul /- _inst_6: topological_semiring ↝ has_continuous_mul | |
| -/ | |
| #print subalgebra.topological_closure_topological_algebra /- _inst_7: has_continuous_smul ↝ has_continuous_smul no_meet_fake_name | |
| -/ | |
| #print subalgebra.topological_closure_comap'_homeomorph /- _inst_8: topological_ring ↝ topological_semiring | |
| -/ | |
| -- topology/algebra/floor_ring.lean | |
| #print continuous_on_fract /- _inst_4: topological_add_group ↝ has_continuous_sub | |
| -/ | |
| #print tendsto_fract_left' /- _inst_5: topological_add_group ↝ has_continuous_sub | |
| -/ | |
| #print tendsto_fract_right' /- _inst_5: topological_add_group ↝ has_continuous_sub | |
| -/ | |
| -- topology/algebra/group.lean | |
| #print nhds_translation_mul_inv /- _inst_3: topological_group ↝ has_continuous_mul | |
| -/ | |
| #print nhds_translation_add_neg /- _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print map_mul_left_nhds /- _inst_3: topological_group ↝ has_continuous_mul | |
| -/ | |
| #print map_add_left_nhds /- _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print quotient_add_group.is_open_map_coe /- _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print quotient_group.is_open_map_coe /- _inst_3: topological_group ↝ has_continuous_mul | |
| -/ | |
| #print is_open.add_left /- _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print is_open.mul_left /- _inst_3: topological_group ↝ has_continuous_mul | |
| -/ | |
| #print is_open.add_right /- _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print is_open.mul_right /- _inst_3: topological_group ↝ has_continuous_mul | |
| -/ | |
| #print topological_group.t1_space /- _inst_3: topological_group ↝ has_continuous_mul | |
| -/ | |
| #print topological_group.regular_space /- _inst_4: t1_space ↝ t0_space | |
| -/ | |
| #print compact_open_separated_mul /- _inst_3: topological_group ↝ has_continuous_mul | |
| -/ | |
| #print compact_open_separated_add /- _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print compact_covered_by_mul_left_translates /- _inst_3: topological_group ↝ has_continuous_mul | |
| -/ | |
| #print compact_covered_by_add_left_translates /- _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print separable_locally_compact_group.sigma_compact_space /- _inst_3: topological_group ↝ has_continuous_mul | |
| -/ | |
| -- topology/algebra/group_with_zero.lean | |
| #print filter.tendsto.div_const /- _inst_1: group_with_zero ↝ div_inv_monoid | |
| -/ | |
| #print continuous_at.div_const /- _inst_1: group_with_zero ↝ div_inv_monoid | |
| -/ | |
| #print continuous_on.div_const /- _inst_1: group_with_zero ↝ div_inv_monoid | |
| -/ | |
| #print continuous.div_const /- _inst_1: group_with_zero ↝ div_inv_monoid | |
| -/ | |
| -- topology/algebra/infinite_sum.lean | |
| #print has_sum.update /- _inst_3: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print has_sum.mul_left /- _inst_3: topological_semiring ↝ has_continuous_mul | |
| -/ | |
| #print has_sum.mul_right /- _inst_3: topological_semiring ↝ has_continuous_mul | |
| -/ | |
| #print has_sum.smul /- _inst_5: module ↝ distrib_mul_action has_scalar | |
| -/ | |
| #print has_sum_le_of_sum_le /- _inst_1: ordered_add_comm_monoid ↝ add_comm_monoid preorder | |
| -/ | |
| #print le_has_sum_of_le_sum /- _inst_1: ordered_add_comm_monoid ↝ add_comm_monoid preorder | |
| -/ | |
| #print summable_iff_cauchy_seq_finset /- _inst_1: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print summable_abs_iff /- _inst_1: linear_ordered_add_comm_group ↝ add_comm_group covariant_class linear_order topological_add_group | |
| -/ | |
| -- topology/algebra/module.lean | |
| #print continuous_linear_map.smul_right_comp /- _inst_16: has_continuous_mul ↝ has_continuous_smul | |
| -/ | |
| #print continuous_linear_map.map_neg /- _inst_1: ring ↝ semiring | |
| -/ | |
| #print continuous_linear_map.map_sub /- _inst_1: ring ↝ semiring | |
| -/ | |
| #print continuous_linear_map.sub_apply' /- _inst_1: ring ↝ semiring | |
| _inst_3: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print continuous_linear_map.smul_right_one_pow /- _inst_15: topological_ring ↝ has_continuous_mul has_continuous_smul topological_add_group | |
| -/ | |
| #print continuous_linear_map.has_scalar /- _inst_14: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print continuous_linear_map.smul_comp /- _inst_1: ring ↝ has_scalar semiring | |
| _inst_2: ring ↝ has_scalar semiring | |
| _inst_5: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_8: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_11: add_comm_group ↝ add_comm_monoid has_scalar has_scalar | |
| _inst_13: module ↝ has_scalar has_scalar | |
| _inst_14: smul_comm_class ↝ has_scalar | |
| _inst_15: has_continuous_smul ↝ has_scalar | |
| -/ | |
| #print continuous_linear_map.smul_apply /- _inst_1: ring ↝ has_scalar semiring | |
| _inst_2: ring ↝ has_scalar semiring | |
| _inst_5: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_8: add_comm_group ↝ add_comm_monoid has_scalar has_scalar | |
| _inst_16: module ↝ has_scalar has_scalar | |
| _inst_17: has_continuous_smul ↝ has_scalar | |
| _inst_18: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print continuous_linear_map.coe_smul /- _inst_1: ring ↝ has_scalar has_scalar semiring | |
| _inst_2: ring ↝ has_scalar has_scalar semiring | |
| _inst_5: add_comm_group ↝ add_comm_monoid has_scalar has_scalar | |
| _inst_8: add_comm_group ↝ add_comm_monoid has_scalar has_scalar has_scalar | |
| _inst_16: module ↝ has_scalar has_scalar has_scalar | |
| _inst_17: has_continuous_smul ↝ has_scalar | |
| _inst_18: smul_comm_class ↝ has_scalar has_scalar | |
| -/ | |
| #print continuous_linear_map.coe_smul' /- _inst_1: ring ↝ has_scalar semiring | |
| _inst_2: ring ↝ has_scalar semiring | |
| _inst_5: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_8: add_comm_group ↝ add_comm_monoid has_scalar has_scalar | |
| _inst_16: module ↝ has_scalar has_scalar | |
| _inst_17: has_continuous_smul ↝ has_scalar | |
| _inst_18: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print continuous_linear_map.comp_smul /- _inst_1: ring ↝ has_scalar semiring | |
| _inst_2: ring ↝ has_scalar semiring | |
| _inst_5: add_comm_group ↝ add_comm_monoid has_scalar | |
| _inst_8: add_comm_group ↝ add_comm_monoid has_scalar has_scalar | |
| _inst_11: add_comm_group ↝ add_comm_monoid has_scalar has_scalar | |
| _inst_13: module ↝ has_scalar has_scalar | |
| _inst_14: smul_comm_class ↝ has_scalar | |
| _inst_15: has_continuous_smul ↝ has_scalar | |
| _inst_16: module ↝ has_scalar has_scalar | |
| _inst_17: has_continuous_smul ↝ has_scalar | |
| _inst_18: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print continuous_linear_map.prod_ext_iff /- _inst_11: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print continuous_linear_map.restrict_scalars /- _inst_8: ring ↝ semiring | |
| -/ | |
| #print continuous_linear_map.restrict_scalars_add /- _inst_12: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print continuous_linear_map.restrict_scalars_smul /- _inst_12: ring ↝ has_scalar semiring | |
| _inst_14: module ↝ has_scalar has_scalar | |
| _inst_15: has_continuous_smul ↝ has_scalar | |
| _inst_16: smul_comm_class ↝ has_scalar | |
| _inst_17: smul_comm_class ↝ has_scalar | |
| -/ | |
| #print continuous_linear_map.to_ring_inverse /- _inst_7: add_comm_group ↝ add_comm_monoid | |
| -/ | |
| #print submodule.closed_complemented /- _inst_1: ring ↝ module no_meet_fake_name semiring | |
| _inst_3: add_comm_group ↝ add_comm_monoid module no_meet_fake_name | |
| -/ | |
| -- topology/algebra/monoid.lean | |
| #print has_continuous_mul.of_nhds_one /- _inst_5: monoid ↝ has_one semigroup | |
| -/ | |
| #print has_continuous_add.of_nhds_zero /- _inst_5: add_monoid ↝ add_semigroup has_zero | |
| -/ | |
| #print exists_open_nhds_zero_half /- _inst_3: add_monoid ↝ add_zero_class | |
| -/ | |
| #print exists_open_nhds_one_split /- _inst_3: monoid ↝ mul_one_class | |
| -/ | |
| #print opposite.has_continuous_mul /- _inst_3: monoid ↝ has_mul | |
| -/ | |
| #print submonoid.mem_nhds_one /- _inst_3: comm_monoid ↝ mul_one_class | |
| -/ | |
| #print add_submonoid.mem_nhds_zero /- _inst_3: add_comm_monoid ↝ add_zero_class | |
| -/ | |
| -- topology/algebra/mul_action.lean | |
| #print units.has_continuous_smul /- _inst_4: mul_action ↝ has_scalar | |
| -/ | |
| #print has_continuous_mul.has_continuous_smul /- _inst_3: monoid ↝ has_mul | |
| -/ | |
| -- topology/algebra/multilinear.lean | |
| #print continuous_multilinear_map.map_sub /- _inst_2: ring ↝ semiring | |
| -/ | |
| #print continuous_multilinear_map.smul_apply /- _inst_11: algebra ↝ has_scalar has_scalar | |
| _inst_13: module ↝ has_scalar has_scalar | |
| _inst_15: is_scalar_tower ↝ has_scalar | |
| _inst_17: has_continuous_smul ↝ has_scalar | |
| -/ | |
| #print continuous_multilinear_map.to_multilinear_map_smul /- _inst_11: algebra ↝ has_scalar has_scalar has_scalar | |
| _inst_13: module ↝ has_scalar has_scalar has_scalar | |
| _inst_15: is_scalar_tower ↝ has_scalar has_scalar | |
| _inst_17: has_continuous_smul ↝ has_scalar | |
| -/ | |
| #print continuous_multilinear_map.is_scalar_tower /- _inst_11: algebra ↝ has_scalar has_scalar | |
| _inst_13: module ↝ has_scalar has_scalar | |
| _inst_15: is_scalar_tower ↝ has_scalar | |
| _inst_17: has_continuous_smul ↝ has_scalar | |
| _inst_20: algebra ↝ has_scalar has_scalar | |
| _inst_21: module ↝ has_scalar has_scalar | |
| _inst_22: is_scalar_tower ↝ has_scalar | |
| _inst_25: has_continuous_smul ↝ has_scalar | |
| -/ | |
| -- topology/algebra/nonarchimedean/basic.lean | |
| #print nonarchimedean_ring.prod.nonarchimedean_ring /- _inst_3: nonarchimedean_ring ↝ nonarchimedean_add_group topological_ring | |
| _inst_6: nonarchimedean_ring ↝ nonarchimedean_add_group topological_ring | |
| -/ | |
| #print nonarchimedean_ring.left_mul_subset /- _inst_3: nonarchimedean_ring ↝ has_continuous_mul | |
| -/ | |
| #print nonarchimedean_ring.mul_subset /- _inst_3: nonarchimedean_ring ↝ has_continuous_mul nonarchimedean_add_group | |
| -/ | |
| -- topology/algebra/open_subgroup.lean | |
| #print submodule.is_open_mono /- _inst_1: comm_ring ↝ ring | |
| _inst_4: topological_add_group ↝ has_continuous_add | |
| -/ | |
| #print ideal.is_open_of_open_subideal /- _inst_3: topological_ring ↝ topological_add_group | |
| -/ | |
| -- topology/algebra/ordered/basic.lean | |
| #print preorder.topology /- _inst_1: preorder ↝ has_lt | |
| -/ | |
| #print order_dual.order_topology /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| #print is_open_iff_generate_intervals /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| #print nhds_eq_order /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| #print tendsto_Ico_class_nhds /- _inst_2: partial_order ↝ filter.tendsto_Ixx_class no_meet_fake_name preorder | |
| t: order_topology ↝ filter.tendsto_Ixx_class no_meet_fake_name | |
| -/ | |
| #print tendsto_Ioc_class_nhds /- _inst_2: partial_order ↝ filter.tendsto_Ixx_class no_meet_fake_name preorder | |
| t: order_topology ↝ filter.tendsto_Ixx_class no_meet_fake_name | |
| -/ | |
| #print tendsto_Ioo_class_nhds /- _inst_2: partial_order ↝ filter.tendsto_Ixx_class no_meet_fake_name preorder | |
| t: order_topology ↝ filter.tendsto_Ixx_class no_meet_fake_name | |
| -/ | |
| #print induced_order_topology' /- _inst_1: partial_order ↝ preorder | |
| -/ | |
| #print nhds_top_basis /- _inst_2: semilattice_sup_top ↝ nonempty_fin_lin_ord | |
| -/ | |
| #print order_topology.t2_space /- _inst_2: linear_order ↝ preorder t2_space | |
| _inst_3: order_topology ↝ t2_space | |
| -/ | |
| #print Iio_mem_nhds /- _inst_3: order_topology ↝ order_closed_topology | |
| -/ | |
| #print Ioi_mem_nhds /- _inst_3: order_topology ↝ order_closed_topology | |
| -/ | |
| #print Ioo_mem_nhds /- _inst_3: order_topology ↝ order_closed_topology | |
| -/ | |
| #print nhds_eq_infi_abs_sub /- _inst_2: linear_ordered_add_comm_group ↝ add_comm_group contravariant_class covariant_class covariant_class covariant_class linear_order | |
| -/ | |
| #print continuous_abs /- _inst_2: linear_ordered_add_comm_group ↝ add_group linear_order order_closed_topology topological_add_group | |
| _inst_3: order_topology ↝ order_closed_topology topological_add_group | |
| -/ | |
| #print nhds_basis_Ioo_pos /- _inst_2: linear_ordered_add_comm_group ↝ add_comm_group contravariant_class covariant_class covariant_class linear_order | |
| -/ | |
| #print filter.tendsto.add_at_top /- _inst_2: linear_ordered_add_comm_group ↝ no_bot_order ordered_add_comm_group | |
| -/ | |
| #print tendsto_inv_zero_at_top /- _inst_3: order_topology ↝ order_closed_topology | |
| -/ | |
| #print is_compact.bdd_above /- _inst_9: order_topology ↝ order_closed_topology | |
| -/ | |
| #print map_Sup_of_continuous_at_of_monotone' /- _inst_4: complete_linear_order ↝ complete_semilattice_Sup order_closed_topology | |
| _inst_6: order_topology ↝ order_closed_topology | |
| -/ | |
| #print map_cSup_of_continuous_at_of_monotone /- _inst_4: conditionally_complete_linear_order ↝ conditionally_complete_lattice order_closed_topology | |
| _inst_6: order_topology ↝ order_closed_topology | |
| -/ | |
| #print is_connected.Ioo_cInf_cSup_subset /- _inst_3: order_topology ↝ order_closed_topology | |
| -/ | |
| #print is_preconnected.Ioi_cInf_subset /- _inst_3: order_topology ↝ order_closed_topology | |
| -/ | |
| #print continuous.surjective /- _inst_1: conditionally_complete_linear_order ↝ filter.ne_bot filter.ne_bot preconnected_space preorder | |
| _inst_3: order_topology ↝ preconnected_space | |
| _inst_8: densely_ordered ↝ preconnected_space | |
| -/ | |
| #print continuous_on.surj_on_of_tendsto /- _inst_4: conditionally_complete_linear_order ↝ linear_order order_closed_topology | |
| _inst_6: order_topology ↝ order_closed_topology | |
| -/ | |
| #print is_compact.is_glb_Inf /- _inst_3: order_topology ↝ order_closed_topology | |
| -/ | |
| #print tendsto_at_bot_infi /- _inst_3: complete_linear_order ↝ conditionally_complete_linear_order_bot | |
| -/ | |
| #print tendsto_at_top_infi /- _inst_3: complete_linear_order ↝ conditionally_complete_linear_order_bot | |
| -/ | |
| #print tendsto_iff_tendsto_subseq_of_monotone /- _inst_1: semilattice_sup ↝ filter.ne_bot preorder | |
| _inst_3: nonempty ↝ filter.ne_bot | |
| -/ | |
| #print is_lub_of_tendsto /- _inst_4: nonempty ↝ filter.ne_bot | |
| -/ | |
| #print supr_eq_of_tendsto /- _inst_3: order_topology ↝ no_meet_fake_name | |
| _inst_4: nonempty ↝ filter.ne_bot | |
| _inst_5: semilattice_sup ↝ filter.ne_bot preorder | |
| -/ | |
| #print infi_eq_of_tendsto /- _inst_3: order_topology ↝ no_meet_fake_name | |
| _inst_4: nonempty ↝ filter.ne_bot | |
| _inst_5: semilattice_sup ↝ filter.ne_bot preorder | |
| -/ | |
| #print tendsto_neg_nhds_within_Ioi /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print tendsto_inv_nhds_within_Ioi /- _inst_1: ordered_comm_group ↝ covariant_class covariant_class group preorder | |
| -/ | |
| #print tendsto_neg_nhds_within_Iio /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print tendsto_inv_nhds_within_Iio /- _inst_1: ordered_comm_group ↝ covariant_class covariant_class group preorder | |
| -/ | |
| #print tendsto_neg_nhds_within_Ici /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print tendsto_inv_nhds_within_Ici /- _inst_1: ordered_comm_group ↝ covariant_class covariant_class group preorder | |
| -/ | |
| #print tendsto_neg_nhds_within_Iic /- _inst_1: ordered_add_comm_group ↝ add_group covariant_class covariant_class preorder | |
| -/ | |
| #print tendsto_inv_nhds_within_Iic /- _inst_1: ordered_comm_group ↝ covariant_class covariant_class group preorder | |
| -/ | |
| #print continuous_within_at_Iio_iff_Iic /- _inst_2: linear_order ↝ partial_order | |
| -/ | |
| #print strict_mono_incr_on.continuous_at_right_of_exists_between /- _inst_3: order_topology ↝ order_closed_topology | |
| _inst_4: linear_order ↝ partial_order | |
| -/ | |
| #print continuous_at_right_of_mono_incr_on_of_exists_between /- _inst_3: order_topology ↝ order_closed_topology | |
| _inst_4: linear_order ↝ partial_order | |
| -/ | |
| #print order_iso.continuous /- _inst_2: partial_order ↝ preorder | |
| -/ | |
| -- topology/algebra/ordered/liminf_limsup.lean | |
| #print filter.tendsto.is_cobounded_under_ge /- _inst_4: filter.ne_bot ↝ filter.ne_bot | |
| -/ | |
| #print filter.tendsto.is_cobounded_under_le /- _inst_4: filter.ne_bot ↝ filter.ne_bot | |
| -/ | |
| #print filter.tendsto.limsup_eq /- _inst_4: filter.ne_bot ↝ filter.ne_bot | |
| -/ | |
| #print filter.tendsto.liminf_eq /- _inst_4: filter.ne_bot ↝ filter.ne_bot | |
| -/ | |
| -- topology/algebra/ordered/proj_Icc.lean | |
| #print continuous_proj_Icc /- _inst_3: order_topology ↝ order_closed_topology | |
| -/ | |
| -- topology/algebra/polynomial.lean | |
| #print polynomial.continuous_eval₂ /- _inst_3: topological_semiring ↝ has_continuous_add has_continuous_mul | |
| -/ | |
| #print polynomial.tendsto_norm_at_top /- _inst_1: normed_ring ↝ has_norm ring | |
| -/ | |
| -- topology/algebra/ring.lean | |
| #print prod_semiring /- _inst_3: topological_semiring ↝ has_continuous_add has_continuous_mul | |
| _inst_6: topological_semiring ↝ has_continuous_add has_continuous_mul | |
| -/ | |
| #print topological_ring.to_topological_semiring /- t: topological_ring ↝ has_continuous_add has_continuous_mul | |
| -/ | |
| #print prod_ring /- _inst_3: topological_ring ↝ has_continuous_add has_continuous_mul topological_add_group | |
| _inst_6: topological_ring ↝ has_continuous_add has_continuous_mul topological_add_group | |
| -/ | |
| #print mul_left_continuous /- _inst_3: topological_ring ↝ has_continuous_mul | |
| -/ | |
| #print mul_right_continuous /- _inst_3: topological_ring ↝ has_continuous_mul | |
| -/ | |
| #print quotient_ring.is_open_map_coe /- _inst_3: topological_ring ↝ has_continuous_add | |
| -/ | |
| -- topology/algebra/uniform_group.lean | |
| #print add_comm_group.is_Z_bilin.comp_hom /- _inst_6: is_add_group_hom ↝ is_add_hom | |
| -/ | |
| #print add_comm_group.is_Z_bilin.zero_right /- _inst_4: add_comm_group.is_Z_bilin ↝ add_comm_group.is_Z_bilin no_meet_fake_name | |
| -/ | |
| #print add_comm_group.is_Z_bilin.neg_right /- _inst_4: add_comm_group.is_Z_bilin ↝ add_comm_group.is_Z_bilin no_meet_fake_name | |
| -/ | |
| #print add_comm_group.is_Z_bilin.sub_right /- _inst_4: add_comm_group.is_Z_bilin ↝ add_comm_group.is_Z_bilin no_meet_fake_name | |
| -/ | |
| #print is_Z_bilin.tendsto_zero_left /- _inst_5: uniform_space ↝ topological_space | |
| -/ | |
| #print is_Z_bilin.tendsto_zero_right /- _inst_5: uniform_space ↝ topological_space | |
| -/ | |
| #print tendsto_sub_comap_self /- _inst_2: add_comm_group ↝ add_group has_continuous_sub | |
| _inst_3: topological_add_group ↝ has_continuous_sub | |
| _inst_5: add_comm_group ↝ add_group | |
| -/ | |
| -- topology/algebra/uniform_ring.lean | |
| #print uniform_space.completion.has_one /- _inst_1: ring ↝ has_one | |
| -/ | |
| #print uniform_space.completion.has_mul /- _inst_1: ring ↝ has_mul | |
| -/ | |
| #print uniform_space.completion.coe_mul /- _inst_3: topological_ring ↝ has_continuous_mul | |
| -/ | |
| #print uniform_space.completion.continuous_mul /- _inst_3: topological_ring ↝ has_continuous_mul topological_add_group | |
| -/ | |
| -- topology/category/Top/limits.lean | |
| #print nonempty_sections_of_fintype_inverse_system /- _inst_1: directed_order ↝ category_theory.is_filtered category_theory.small_category | |
| -/ | |
| -- topology/connected.lean | |
| #print is_connected_range /- _inst_3: connected_space ↝ nonempty preconnected_space | |
| -/ | |
| #print irreducible_space.connected_space /- _inst_3: irreducible_space ↝ nonempty preconnected_space | |
| -/ | |
| -- topology/continuous_function/algebra.lean | |
| #print continuous_map.add_comp /- _inst_6: add_semigroup ↝ has_add | |
| -/ | |
| #print continuous_map.mul_comp /- _inst_6: semigroup ↝ has_mul | |
| -/ | |
| #print continuous_map.coe_smul /- _inst_8: module ↝ has_scalar has_scalar | |
| _inst_9: has_continuous_smul ↝ has_scalar | |
| -/ | |
| #print continuous_map.is_scalar_tower /- _inst_5: algebra ↝ has_scalar has_scalar is_scalar_tower module | |
| _inst_6: topological_semiring ↝ has_continuous_smul has_scalar | |
| -/ | |
| #print subalgebra.separates_points /- _inst_5: algebra ↝ algebra has_scalar | |
| _inst_12: has_continuous_smul ↝ algebra | |
| -/ | |
| #print algebra_map_apply /- _inst_5: algebra ↝ algebra has_scalar | |
| _inst_12: has_continuous_smul ↝ algebra | |
| -/ | |
| #print continuous_map.inf_eq /- _inst_5: topological_ring ↝ has_continuous_add | |
| -/ | |
| #print continuous_map.sup_eq /- _inst_5: topological_ring ↝ has_continuous_add module | |
| -/ | |
| -- topology/continuous_function/bounded.lean | |
| #print bounded_continuous_function.equicontinuous_of_continuity_modulus /- _inst_4: metric_space ↝ pseudo_metric_space | |
| -/ | |
| #print bounded_continuous_function.has_zero /- _inst_2: normed_group ↝ has_zero metric_space | |
| -/ | |
| #print bounded_continuous_function.dist_le_two_norm' /- _inst_2: normed_group ↝ semi_normed_group | |
| -/ | |
| #print bounded_continuous_function.coe_smul /- _inst_4: normed_space ↝ has_scalar has_scalar | |
| -/ | |
| #print bounded_continuous_function.smul_apply /- _inst_4: normed_space ↝ has_scalar has_scalar | |
| -/ | |
| #print bounded_continuous_function.algebra_map_apply /- _inst_6: normed_algebra ↝ algebra has_scalar | |
| -/ | |
| -- topology/continuous_function/compact.lean | |
| #print continuous_map.uniform_continuity /- _inst_1: metric_space ↝ pseudo_metric_space separated_space | |
| _inst_3: metric_space ↝ pseudo_metric_space | |
| -/ | |
| -- topology/instances/ennreal.lean | |
| #print edist_ne_top_of_mem_ball /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print nhds_eq_nhds_emetric_ball /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| -- topology/metric_space/antilipschitz.lean | |
| #print antilipschitz_with /- _inst_1: pseudo_emetric_space ↝ has_edist | |
| _inst_2: pseudo_emetric_space ↝ has_edist | |
| -/ | |
| #print antilipschitz_with.is_closed_range /- _inst_5: emetric_space ↝ pseudo_emetric_space separated_space | |
| -/ | |
| #print antilipschitz_with.proper_space /- _inst_3: metric_space ↝ pseudo_metric_space t2_space | |
| -/ | |
| -- topology/metric_space/baire.lean | |
| #print dense_Inter_of_open_nat /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| -- topology/metric_space/basic.lean | |
| #print dist_nndist /- _inst_1: pseudo_metric_space ↝ has_dist has_nndist | |
| -/ | |
| #print dist_lt_coe /- _inst_1: pseudo_metric_space ↝ has_dist has_nndist | |
| -/ | |
| #print dist_le_coe /- _inst_1: pseudo_metric_space ↝ has_dist has_nndist | |
| -/ | |
| #print metric.ball /- _inst_1: pseudo_metric_space ↝ has_dist | |
| -/ | |
| #print metric.closed_ball /- _inst_1: pseudo_metric_space ↝ has_dist | |
| -/ | |
| #print metric.sphere /- _inst_1: pseudo_metric_space ↝ has_dist | |
| -/ | |
| #print metric.complete_of_cauchy_seq_tendsto /- _inst_1: pseudo_metric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print totally_bounded_Icc /- _inst_1: pseudo_metric_space ↝ uniform_space | |
| -/ | |
| #print metric.bounded /- _inst_1: pseudo_metric_space ↝ has_dist | |
| -/ | |
| #print metric.diam /- _inst_1: pseudo_metric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print metric.uniform_embedding_iff' /- _inst_3: metric_space ↝ pseudo_metric_space | |
| -/ | |
| #print exists_subset_Union_ball_radius_lt /- _inst_2: metric_space ↝ normal_space pseudo_metric_space | |
| -/ | |
| #print exists_subset_Union_ball_radius_pos_lt /- _inst_2: metric_space ↝ normal_space pseudo_metric_space | |
| -/ | |
| #print metric.second_countable_of_countable_discretization /- _inst_3: metric_space ↝ proper_space pseudo_metric_space | |
| -/ | |
| -- topology/metric_space/cau_seq_filter.lean | |
| #print cau_seq.tendsto_limit /- _inst_1: normed_ring ↝ semi_normed_ring | |
| -/ | |
| #print cauchy_seq.is_cau_seq /- _inst_1: normed_field ↝ semi_normed_ring | |
| -/ | |
| -- topology/metric_space/closeds.lean | |
| #print emetric.nonempty_compacts.second_countable_topology /- _inst_2: topological_space.second_countable_topology ↝ topological_space.separable_space | |
| -/ | |
| -- topology/metric_space/completion.lean | |
| #print metric.uniform_space.completion.has_dist /- _inst_1: pseudo_metric_space ↝ has_dist uniform_space | |
| -/ | |
| -- topology/metric_space/contracting.lean | |
| #print contracting_with /- _inst_1: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print contracting_with.one_sub_K_pos /- _inst_1: metric_space ↝ emetric_space | |
| -/ | |
| -- topology/metric_space/emetric_space.lean | |
| #print uniformity_dist_of_mem_uniformity /- _inst_1: linear_order ↝ has_lt | |
| -/ | |
| #print emetric.ball /- _inst_1: pseudo_emetric_space ↝ has_edist | |
| -/ | |
| #print emetric.closed_ball /- _inst_1: pseudo_emetric_space ↝ has_edist | |
| -/ | |
| #print emetric.diam /- _inst_1: pseudo_emetric_space ↝ has_edist | |
| -/ | |
| #print emetric_space.to_uniform_space' /- _inst_2: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print uniform_embedding_iff' /- _inst_3: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print uniformity_edist /- _inst_2: emetric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print emetric.normal_of_emetric /- _inst_2: emetric_space ↝ paracompact_space t2_space topological_space | |
| -/ | |
| #print emetric.countable_closure_of_compact /- _inst_2: emetric_space ↝ pseudo_emetric_space t2_space | |
| -/ | |
| -- topology/metric_space/hausdorff_distance.lean | |
| #print emetric.inf_edist /- _inst_1: pseudo_emetric_space ↝ has_edist | |
| -/ | |
| #print metric.inf_dist /- _inst_1: pseudo_metric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print metric.inf_nndist /- _inst_1: pseudo_metric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print metric.Hausdorff_dist /- _inst_1: pseudo_metric_space ↝ pseudo_emetric_space | |
| -/ | |
| -- topology/metric_space/isometry.lean | |
| #print isometry /- _inst_1: pseudo_emetric_space ↝ has_edist | |
| _inst_2: pseudo_emetric_space ↝ has_edist | |
| -/ | |
| -- topology/metric_space/lipschitz.lean | |
| #print lipschitz_with /- _inst_1: pseudo_emetric_space ↝ has_edist | |
| _inst_2: pseudo_emetric_space ↝ has_edist | |
| -/ | |
| #print lipschitz_on_with /- _inst_1: pseudo_emetric_space ↝ has_edist | |
| _inst_2: pseudo_emetric_space ↝ has_edist | |
| -/ | |
| #print continuous_at_of_locally_lipschitz /- _inst_1: metric_space ↝ pseudo_metric_space | |
| _inst_2: metric_space ↝ pseudo_metric_space | |
| -/ | |
| -- topology/metric_space/metric_separated.lean | |
| #print is_metric_separated /- _inst_1: emetric_space ↝ has_edist | |
| -/ | |
| -- topology/semicontinuous.lean | |
| #print lower_semicontinuous_within_at /- _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print lower_semicontinuous_at /- _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print upper_semicontinuous_within_at /- _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print upper_semicontinuous_at /- _inst_2: preorder ↝ has_lt | |
| -/ | |
| #print lower_semicontinuous_within_at.add' /- _inst_3: linear_ordered_add_comm_monoid ↝ covariant_class covariant_class has_add linear_order order_closed_topology | |
| -/ | |
| -- topology/separation.lean | |
| #print tendsto_nhds_unique /- _inst_3: filter.ne_bot ↝ filter.ne_bot | |
| -/ | |
| #print filter.tendsto.lim_eq /- _inst_3: filter.ne_bot ↝ filter.ne_bot | |
| -/ | |
| -- topology/sequences.lean | |
| #print compact_space.tendsto_subseq /- _inst_2: topological_space.first_countable_topology ↝ seq_compact_space | |
| _inst_3: compact_space ↝ seq_compact_space | |
| -/ | |
| #print metric.compact_iff_seq_compact /- _inst_1: metric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print metric.compact_space_iff_seq_compact_space /- _inst_1: metric_space ↝ pseudo_emetric_space | |
| -/ | |
| #print seq_compact.lebesgue_number_lemma_of_metric /- _inst_1: metric_space ↝ pseudo_metric_space | |
| -/ | |
| -- topology/uniform_space/abstract_completion.lean | |
| #print abstract_completion.funext /- _inst_2: uniform_space ↝ topological_space | |
| -/ | |
| #print abstract_completion.extension₂_coe_coe /- _inst_4: separated_space ↝ t2_space | |
| -/ | |
| -- topology/uniform_space/basic.lean | |
| #print uniform_space.is_open_ball /- _inst_1: uniform_space ↝ topological_space | |
| -/ | |
| -- topology/uniform_space/cauchy.lean | |
| #print filter.tendsto.cauchy_map /- _inst_2: filter.ne_bot ↝ filter.ne_bot | |
| -/ | |
| #print cauchy_seq /- _inst_2: semilattice_sup ↝ preorder | |
| -/ | |
| #print filter.tendsto.cauchy_seq /- _inst_3: nonempty ↝ filter.ne_bot | |
| -/ | |
| #print cauchy_seq_iff_tendsto /- _inst_2: nonempty ↝ filter.ne_bot | |
| -/ | |
| #print cauchy_map_iff_exists_tendsto /- _inst_3: filter.ne_bot ↝ filter.ne_bot | |
| -/ | |
| -- topology/uniform_space/complete_separated.lean | |
| #print is_complete.is_closed /- _inst_2: separated_space ↝ t2_space | |
| -/ | |
| #print dense_inducing.continuous_extend_of_cauchy /- _inst_5: separated_space ↝ regular_space | |
| -/ | |
| -- topology/uniform_space/completion.lean | |
| #print Cauchy.Cauchy_eq /- _inst_1: inhabited ↝ nonempty | |
| -/ | |
| #print uniform_space.completion.extension_coe /- _inst_4: separated_space ↝ t2_space | |
| -/ | |
| -- topology/uniform_space/uniform_embedding.lean | |
| #print uniformly_extend_of_ind /- _inst_4: separated_space ↝ t2_space | |
| -/ | |
| #print uniformly_extend_unique /- _inst_4: separated_space ↝ t2_space | |
| -/ | |
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