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September 14, 2022 11:21
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limit_cone'_cone | |
limit_cone'_is_limit | |
ulift_obj | |
has_colimits_of_size | |
equiv_top | |
equiv_top_apply_coe | |
equiv_top_symm_apply | |
coe_of' | |
colimit_comparison | |
direct_sum_bicone | |
direct_sum_lift_π_assoc | |
direct_sum_punit_iso | |
eq_of_is_zero | |
exact_zmod_nsmul_cast | |
Ext_is_zero_of_one_lt | |
free_iso_free'_hom_app | |
free_iso_free'_hom_app_apply | |
free_iso_free'_inv_app_apply | |
free'_obj | |
hom_product_comparison | |
injective_of_mono' | |
is_bilimit_direct_sum_bicone | |
is_iso_hom_product_comparison | |
is_limit_pi_fan | |
ker_map_apply | |
kernel_iso_ker_hom_ker_subtype | |
kernel_iso_ker_hom_ker_subtype_apply | |
kernel_iso_ker_inv_kernel_ι | |
kernel_iso_ker_inv_kernel_ι_apply | |
limit_on_nat_torsion_free | |
map_tensor_add_left | |
map_tensor_zero_right | |
projective | |
of_iso_hom | |
of_iso_inv | |
pi_fan | |
pi_hom_ext | |
pi_lift | |
pi_lift_π | |
pi_lift_π_assoc | |
pi_π | |
projective_of_Z_Module_projective | |
range_mkq_cokernel_iso_range_quotient_inv | |
range_mkq_cokernel_iso_range_quotient_inv_apply | |
tensor_curry_equiv_apply | |
tensor_functor_flip_additive | |
tensor_functor_obj_obj | |
tensor_uncurry_curry | |
to_direct_sum | |
zero_helper | |
nsmul_eq_zero | |
zmod_resolution | |
zmod_resolution_is_resolution | |
zmod_resolution_pi | |
zmod_resolution_pi_f | |
mk_symm | |
mk_symm_apply | |
quotient_congr | |
symm_mk_apply | |
ulift_symm_apply | |
coe_mk_from_pi | |
comp_mem_filtration | |
const_smul_hom_int_mem_filtration | |
const_smul_hom_nat_mem_filtration | |
eval_mem_filtration | |
id_mem_filtration | |
mk_from_pi | |
mk_from_pi_apply | |
mk_from_pi_mem_filtration | |
mk_polyhedral_lattice_hom' | |
pow | |
pow_eval | |
pow_hom | |
range_eq_top_iff | |
injective_subtype | |
as_normed_space' | |
add_comm_group | |
down | |
down_add | |
down_neg | |
down_smul | |
has_norm | |
inhabited | |
module | |
norm_def | |
normed_add_comm_group | |
normed_space' | |
up | |
augmentation_zero | |
add_neg_fun_comp | |
add_neg_fun_comp_id | |
aux_ineq_mul | |
add_group_add_symm_apply | |
equiv_bdd_integer_nat | |
equiv_compl_R_bdd | |
equiv_compl_R_bdd_apply | |
group_mul | |
group_mul_apply | |
group_mul_symm_apply | |
equiv_Icc_bdd_nonneg | |
equiv_Icc_bdd_nonneg_apply | |
equiv_Icc_R | |
equiv_Icc_R_apply | |
le_one_ge_one | |
le_one_ge_one_eval | |
le_one_ge_one_symm_eval | |
lt_one_gt_one | |
lt_one_gt_one_eval | |
lt_one_gt_one_symm_eval | |
mul_inv | |
mul_inv_eval | |
mul_inv_rev | |
equiv_nat_diag | |
neg_gt_zero_eval | |
nonpos_ge_zero_symm_eval | |
nonneg_equiv_nat | |
summable_iff_on_nat | |
int_tsum_shift | |
mul_inv_fun | |
mul_inv_fun_comp | |
mul_inv_fun_comp_id | |
mul_inv_fun_comp_id_apply | |
mul_inv_fun_def | |
my_summable_shift | |
le_equiv_nat | |
prod_nat_summable | |
prod_nat_summable_aux | |
R | |
range_equiv_Icc | |
sum_Icc_sum_tail | |
summable_shift | |
sum_range_sum_Icc | |
sum_range_sum_Icc' | |
sum_reverse | |
T | |
zero_le | |
matrix | |
quatro_cone | |
quatro_cone_acyclic | |
quatro_cone_d_12' | |
quatro_cone_d_23' | |
quatro_cone_d_34' | |
quatro_cone_X_1 | |
quatro_cone_X_2 | |
quatro_cone_X_3 | |
quatro_cons | |
quatro_cons_acyclic | |
quatro_cons_hom | |
quatro_cons_hom_quasi_iso | |
to_string_python | |
bounded_derived_category | |
additive | |
category | |
category_comp_val | |
category_hom | |
category_id_val | |
complete_distinguished_triangle_morphism | |
cone | |
Ext | |
Ext_additive_fst | |
Ext_homological_fst | |
Ext_map_app_apply | |
Ext_obj_map | |
Ext_obj_obj | |
forget | |
faithful | |
full | |
forget_distinguished_of_distinguished | |
forget_map_mk | |
forget_obj_of | |
forget_replace_triangle | |
forget_replace_triangle_distinguished | |
forget_replace_triangle_hom_hom₁ | |
forget_replace_triangle_hom_hom₂ | |
forget_replace_triangle_hom_hom₃ | |
forget_replace_triangle_inv_hom₁ | |
forget_replace_triangle_inv_hom₂ | |
forget_replace_triangle_inv_hom₃ | |
forget_triangulated_functor_struct | |
forget_triangulated_functor_struct_comm_shift | |
forget_triangulated_functor_struct_to_functor | |
has_shift_functor | |
has_shift_functor_forget | |
has_shift_functor_forget_hom_app | |
has_shift_functor_forget_inv_app | |
has_shift_functor_map_val | |
has_shift_functor_obj_val | |
has_zero_object | |
bounded_derived_category_hom | |
ext | |
ext_iff | |
has_shift | |
is_iso_localization_functor_map_of_is_quasi_iso | |
isomorphic_distinguished | |
is_zero_zero | |
lift | |
lift_map | |
lift_obj | |
lift_unique | |
localization_functor | |
localization_functor_map_val | |
localization_functor_obj | |
localization_iso | |
localization_iso_hom_val | |
localization_iso_inv_val | |
localize_lift | |
mk_iso | |
mk_iso_hom_val | |
mk_iso_inv_val | |
of | |
of_val | |
preadditive | |
preadditive_hom_group_add_val | |
preadditive_hom_group_neg_val | |
preadditive_hom_group_nsmul_val | |
preadditive_hom_group_sub_val | |
preadditive_hom_group_zero_val | |
preadditive_hom_group_zsmul_val | |
pretriangulated | |
pretriangulated_contractible_distinguished | |
pretriangulated_distinguished_cocone_triangle | |
pretriangulated_distinguished_triangles | |
replace_triangle | |
replace_triangle' | |
replace_triangle_map | |
replace_triangle_map_comp | |
replace_triangle'_map_hom₁ | |
replace_triangle_map_hom₁_val | |
replace_triangle'_map_hom₂ | |
replace_triangle_map_hom₂_val | |
replace_triangle'_map_hom₃ | |
replace_triangle_map_hom₃_val | |
replace_triangle_map_id | |
replace_triangle_mor₁ | |
replace_triangle_mor₂ | |
replace_triangle_mor₃ | |
replace_triangle_obj₁ | |
replace_triangle_obj₂ | |
replace_triangle_obj₃ | |
replace_triangle'_obj_mor₁ | |
replace_triangle'_obj_mor₂ | |
replace_triangle'_obj_mor₃ | |
replace_triangle'_obj_obj₁ | |
replace_triangle'_obj_obj₂ | |
replace_triangle'_obj_obj₃ | |
replace_triangle_rotate | |
rotate_distinguished_triangle | |
shift_functor_forget | |
shift_functor_forget_hom_app | |
shift_functor_forget_inv_app | |
shift_functor_localization_functor | |
shift_functor_localization_functor_hom_app_val | |
shift_functor_localization_functor_inv_app_val | |
shift_functor_map_val | |
shift_functor_val | |
is_K_projective | |
zero | |
zero_is_K_projective | |
π_lift_id_π | |
π_lift_id_π_assoc | |
bounded_homotopy_category_coe_to_fun | |
e | |
Ext0_map | |
Ext0_obj | |
Ext_coproduct_iso_naturality | |
Ext_coproduct_iso_naturality' | |
Ext_iso_hom_apply | |
Ext_iso_inv_apply | |
Ext_map_Ext_iso'_assoc | |
Ext_map_shift_iso_inv | |
Ext_map_shift_iso_inv_assoc | |
forget_shift | |
hom_ext | |
hom_shift_left_iso | |
hom_shift_right_iso | |
hom_single_iso_naturality' | |
hom_val | |
inv_lift | |
lift_comp | |
lift_comp_lift_comp_assoc | |
lift_comp_lift_self_assoc | |
lift_neg | |
mk_iso_hom | |
mk_iso_inv | |
homological_functor | |
preserves_coproducts_single | |
replace_triangle_mor₁ | |
replace_triangle_mor₂ | |
replace_triangle_mor₃ | |
replace_triangle_obj₁ | |
replace_triangle_obj₂ | |
replace_triangle_obj₃ | |
shift_equiv_inverse_additive | |
shift_equiv_symm_inverse_additive | |
shift_functor_map_lift | |
shift_functor_obj_val | |
shift_iso_aux_apply | |
shift_iso_aux_symm_apply | |
shift_iso_Ext_map | |
shift_iso_Ext_map_assoc | |
shift_of_eq | |
single_forget | |
val_as_bdd_above | |
eval | |
eval_comp | |
eval_FP2_comp | |
eval_FP2'_not_suitable | |
eval_FP_app_apply | |
eval_LCFP_comp | |
eval_LCFP'_not_suitable | |
eval_of | |
eval_png₀_coe | |
pre_eval | |
pre_eval_apply | |
proj_aux_kronecker_proj_aux | |
suitable_mul_left_le_one | |
suitable_mul_left_one_le | |
suitable_mul_right_le_one | |
suitable_mul_right_one_le | |
suitable_of_le | |
BD_map₂_app_f | |
BD_map_app_f | |
BD_system_map_app_app | |
additive_whiskering_left | |
additive_whiskering_right | |
complex₂_map_f | |
complex₂_obj_d | |
complex₂_obj_X | |
complex_d | |
complex_d_comp_d | |
complex_X | |
comp_suitable | |
eval_functor'_comp | |
eval_functor_comp | |
eval_functor_map_app_f | |
eval_functor'_map_f | |
eval_functor'_obj_d | |
eval_functor_obj_obj_d | |
eval_functor_obj_obj_X | |
eval_functor'_obj_X_map | |
eval_functor'_obj_X_obj | |
homotopy_two_mul_hom | |
hom_pow'_proj' | |
hom_pow'_suitable_strict | |
hom_pow'_sum' | |
mul_obj_d | |
mul_obj_X | |
preadditive | |
proj_f | |
proj_suitable | |
of_basic | |
sum_f | |
system_obj | |
system_obj_d | |
system_res_def | |
eval_Pow_functor_nat_trans_compatibility | |
FP2_def | |
res_app | |
res_comp_res | |
res_comp_Tinv | |
res_refl | |
Tinv_app | |
Tinv_def | |
iso_mk'_hom | |
iso_mk'_inv | |
mul_functor_map | |
mul_functor_obj | |
to_FreeAbMat | |
Mat | |
small_category | |
comm_semiring | |
aux_hom_app_f | |
Biprod_iso_Pow_two_components_inv | |
Biprod_iso_Pow_two_hom_app | |
Biprod_iso_Pow_two_inv_app | |
Biprod_obj | |
endo_T_map_app_f | |
endo_T_obj_map_f | |
endo_T_obj_obj_e | |
endo_T_obj_obj_X | |
eval'_bounded_above | |
eval_functor_obj_X | |
eval_homotopy | |
eval'_obj_d | |
eval'_obj_d_0 | |
eval'_obj_X | |
eval'_obj_X_0 | |
eval'_obj_X_succ | |
hH0_endo | |
hH0_endo₂ | |
main_lemma | |
main_lemma' | |
Pow_comp_Pow_components_inv | |
Pow_comp_Pow_hom_app | |
Pow_comp_Pow_inv_app | |
Pow_X_hom | |
Pow_X_inv | |
congr_eval_Pow' | |
congr_eval_Pow'_assoc | |
eval | |
eval_CLCFP_sub | |
eval_CLCFPTinv₂_rescale | |
eval_CLCFPTinv₂_sub | |
eval_CLCFPTinv_sub | |
eval_CLCFPTinv_zero | |
eval_comp | |
eval_FP2_add | |
eval_FP2_neg | |
eval_FP2_of | |
eval_FP2_sub | |
eval_LCFP_neg | |
eval_LCFP_sub | |
eval_of | |
eval_Pow' | |
eval_Pow_comp_app | |
eval_Pow_functor_obj | |
eval_Pow'_hcomp | |
eval_Pow'_of | |
eval_Pow_zero | |
eval_Pow_zero_app | |
factor_add | |
factor_le_of_suitable | |
factor_neg | |
factor_sub | |
map_eval_Pow | |
map_eval_Pow' | |
suitable_congr | |
suitable_mul_left_le_one | |
suitable_mul_left_one_le | |
suitable_mul_right_le_one | |
suitable_mul_right_one_le | |
suitable_neg | |
suitable_of_le | |
suitable_smul_iff | |
suitable_sub | |
mul_right | |
colim_exact | |
exact_neg_right_iff | |
additive_equivalence_inverse | |
preadditive_yoneda_whiskering_left | |
whiskering_right | |
whiskering_right_counit | |
whiskering_right_unit | |
yoneda_whiskering_left | |
conerve_to_cocomplex_homology_is_zero | |
contracting_homotopy' | |
face_π | |
is_contracting_homotopy_zero | |
op | |
op_comp_unop | |
op_hom | |
op_left | |
op_right | |
op_unop | |
is_splitting_assoc | |
unop_comp_op | |
unop_hom | |
unop_left | |
unop_op | |
unop_right | |
is_biprod | |
colimit_homology_functor_iso | |
apply_functor | |
apply_functor_f | |
apply_functor_g | |
apply_functor_X | |
apply_functor_Y | |
apply_functor_Z | |
comp_τ₁ | |
comp_τ₂ | |
comp_τ₃ | |
comp_τ₁ | |
comp_τ₂ | |
comp_τ₃ | |
ext_iff | |
id_τ₁ | |
id_τ₂ | |
id_τ₃ | |
inhabited | |
id_τ₁ | |
inhabited | |
cocomplex_map | |
to_cocomplex_X | |
coboundary_coboundary_assoc | |
cocomplex | |
to_cocomplex | |
Sheaf_equiv_of_cover_preserving_cover_lifting_sheafification_compatibility | |
left_unitor_def | |
add_f | |
cocone_X_e | |
cocone_X_X | |
cocone_ι_app_f | |
cokernel_cofork_π_f | |
cokernel_desc_f | |
cokernel_obj_X | |
cokernel_π_f | |
cone_X_e | |
cone_X_X | |
cone_π_app_f | |
congr_single_functor_inv | |
flip_map_app_comm | |
flip_map_app_comm_assoc | |
flip_obj_map_comm | |
flip_obj_map_comm_assoc | |
forget_obj | |
free_e | |
map | |
free_X | |
free | |
free_additive | |
has_colimits | |
has_limits | |
ext_iff | |
is_colimit_cocone_desc_f | |
is_colimit_cokernel_cofork_desc_f | |
is_limit_cone_lift_f | |
is_limit_kernel_fork_lift_f | |
kernel_fork_iso | |
kernel_fork_ι_f | |
kernel_lift_f | |
kernel_obj_e | |
kernel_obj_X | |
kernel_ι_f | |
mk_bo_ha_ca'_single | |
mk_bo_ha_ca_single | |
mk_bo_ho_ca | |
mk_bo_ho_ca' | |
neg_f | |
nsmul_f | |
pow_comm_assoc | |
preadditive_yoneda_flip_additive | |
preserves_colimits | |
preserves_limits | |
quot_out_single_map | |
single_e | |
single_unEnd | |
single_unEnd_e | |
sub_f | |
tautological_nat_trans_app | |
twist_cocone_X | |
twist_cone_X | |
zsmul_f | |
eq_to_iso_inv | |
iso_equiv_apply | |
iso_equiv_symm_apply | |
symm_to_adjunction_counit | |
symm_to_adjunction_unit | |
eval_functor_colimit_iso | |
epi_of_exact_zero_right | |
exact_inr_fst | |
mono_desc | |
mono_lift_comp_assoc | |
arrow_congr | |
congr | |
of_op | |
of_unop | |
op | |
d_from_map | |
epi_of_epi_of_exact | |
obj_equiv | |
finite_product_condition' | |
finite_product_condition_iff_finite_product_condition' | |
flip_evaluation_comp_whiskering_right | |
forget₂_additive | |
homology_iso | |
is_iso_cokernel_comparison_of_exact | |
is_proetale_sheaf_of_empty_of_product_of_equalizer | |
is_proetale_sheaf_of_types_projective | |
is_singleton_iff_exists_bijective_to_is_singleton | |
is_singleton_iff_exists_bijective_to_punit | |
is_singleton_iff_forall_bijective_to_is_singleton | |
is_singleton_iff_forall_bijective_to_punit | |
is_zero_of_comp | |
map_bounded_homotopy_category_map | |
map_bounded_homotopy_category_obj | |
map_commsq | |
map_composable_morphisms_map_τ₁ | |
map_composable_morphisms_map_τ₂ | |
map_composable_morphisms_map_τ₃ | |
map_composable_morphisms_obj_f | |
map_composable_morphisms_obj_g | |
map_composable_morphisms_obj_X | |
map_composable_morphisms_obj_Y | |
map_composable_morphisms_obj_Z | |
map_d_to | |
map_endomorphisms_map_f | |
map_endomorphisms_obj_e | |
map_endomorphisms_obj_X | |
map_homotopy_category_comp_hom_app | |
map_homotopy_category_comp_inv_app | |
map_is_biprod | |
map_next | |
map_next_iso_inv | |
map_prev | |
map_prev_iso_hom | |
map_short_complex_map_τ₁ | |
map_short_complex_map_τ₂ | |
map_short_complex_map_τ₃ | |
map_short_complex_obj_obj_f | |
map_short_complex_obj_obj_g | |
map_short_complex_obj_obj_X | |
map_short_complex_obj_obj_Y | |
map_short_complex_obj_obj_Z | |
obj_biprod_iso | |
obj_X_next | |
obj_X_next_hom_eq | |
obj_X_prev | |
obj_X_prev_hom_eq | |
pbool | |
fintype | |
preserves_coequalizers_of_exact | |
preserves_finite_colimits_of_exact | |
single | |
map_equiv | |
whiskering_right_obj_comp | |
eq_zero_of_forall | |
is_iso_sheafify_lift_of_is_iso | |
kernel_fork_point_obj | |
kernel_fork_X_obj_str_add_coe | |
kernel_fork_X_obj_str_neg_coe | |
kernel_fork_X_obj_str_nsmul_coe | |
kernel_fork_X_obj_str_sub_coe | |
kernel_fork_X_obj_str_zero_coe | |
kernel_fork_X_obj_str_zsmul_coe | |
kernel_fork_X_obj_α | |
kernel_fork_π_app | |
has_snake_lemma | |
homology_functor_preserves_filtered_colimits | |
homology_iso_inv_homology_functor_map | |
is_biprod | |
iso_biprod | |
iso_biprod_hom | |
iso_biprod_inv | |
is_iso_of_is_iso_preadditive_yoneda_map_app | |
is_iso_sheafification_types_adjunction_counit_app | |
aux_simp | |
cokernel_to' | |
cokernel_to'_mono | |
eq_δ_of_spec | |
hom_eq_zero₁ | |
hom_eq_zero₂ | |
map_eq_id | |
mk_of_short_exact_sequence_hom | |
row_exact | |
to_kernel' | |
to_kernel_epi | |
δ_spec | |
cofork_of_cokernel | |
cofork_of_cokernel_is_colimit | |
cofork_of_cokernel_is_colimit_desc | |
cofork_of_cokernel_X | |
cofork_of_cokernel_ι_app | |
map_desc_assoc | |
equalizer_equiv_apply | |
equalizer_ext | |
epi_of_epi_of_comp_epi_of_mono | |
ι_assoc | |
ι_assoc | |
fork_of_kernel_is_limit_lift | |
fork_of_kernel_X | |
fork_of_kernel_π_app | |
is_limit_op_fan | |
is_zero_iff_exact_zero_zero | |
is_zero_unop | |
limit_flip_comp_lim_iso_limit_comp_lim'_hom_π_π_assoc | |
limit_flip_comp_lim_iso_limit_comp_lim'_inv_π_π_assoc | |
op_fan | |
preserves_zero_of_preserves_initial | |
zero_of_epi_comp_zero | |
map_associator_hom | |
unflip | |
cokernel_cofork_X_map | |
cokernel_cofork_X_obj | |
cokernel_cofork_ι_app | |
cokernel_functor_obj | |
cokernel_kernel_ι_iso_hom | |
cokernel_kernel_ι_iso_inv | |
cokernel_obj_iso_π_hom_assoc | |
conj_by | |
is_colimit_cokernel_cofork_desc_app | |
is_limit_kernel_fork_lift_app | |
kernel_cokernel_π_iso_hom | |
kernel_cokernel_π_iso_inv | |
kernel_fork_X_map | |
kernel_fork_X_obj | |
kernel_fork_π_app | |
kernel_functor_obj | |
kernel_obj_iso_inv_ι_assoc | |
map_endomorphisms_app_f | |
map_next | |
map_prev | |
unflip | |
unflip_app_app | |
unflip_comp | |
unflip_id | |
apply_Pow_hom_app | |
apply_Pow_inv_app | |
apply_Pow_naturality | |
eval_Pow_functor_comp | |
preserves_colimits | |
Pow_obj | |
preserves_colimits_of_shape_const_zero | |
preserves_colimits_of_shape_const_zero_aux | |
presheaf_to_SheafOfTypes | |
presheaf_to_SheafOfTypes_iso | |
presheaf_to_SheafOfTypes_map_val | |
presheaf_to_SheafOfTypes_obj_val | |
prod_induction | |
strong_epi | |
epi_homology_map_of_pseudoelement | |
epi | |
mono | |
π_iso_cokernel_lift_hom | |
π_iso_cokernel_lift_hom_assoc | |
π'_ι | |
π_ι | |
π'_ι_assoc | |
π_ι_assoc | |
mono_homology_functor_of_pseudoelement | |
id_apply | |
pullback_comp_mono_iso | |
pullback_comp_mono_iso_fst | |
pullback_comp_mono_iso_fst_assoc | |
epi_hom_to_kernel | |
Ext_iso_zero | |
Ext_single_iso | |
Ext_single_iso_kernel | |
homology_zero_iso | |
hom_to_kernel | |
is_iso_hom_to_kernel | |
is_zero_hom_of_is_zero | |
mono_hom_to_kernel | |
epi | |
π_cokernel_iso_of_eq | |
π_cokernel_iso_of_eq_assoc | |
right_split | |
short_exact | |
cokernel_iso_cokernel_sheaf_hom_π | |
cokernel_iso_cokernel_sheaf_inv_π | |
comp_val_assoc | |
sheafification_adjunction_types | |
sheafification_adjunction_types_counit_app | |
sheafification_adjunction_types_hom_equiv_apply | |
sheafification_adjunction_types_hom_equiv_symm_apply | |
sheafification_adjunction_types_unit_app | |
sheafification_types_reflective | |
mk_hom_val | |
mk_inv_val | |
kernel_iso_kernel_sheaf_hom_ι_assoc | |
kernel_iso_kernel_sheaf_hom_ι_val_assoc | |
kernel_iso_kernel_sheaf_inv_ι_assoc | |
kernel_iso_kernel_sheaf_inv_ι_val | |
kernel_iso_kernel_sheaf_inv_ι_val_assoc | |
parallel_pair_iso | |
sheafification_exact | |
short_exact_sequence | |
aux_tac | |
category | |
has_zero_morphisms | |
preadditive | |
comp | |
comp_fst | |
comp_fst_assoc | |
comp_snd | |
comp_snd_assoc | |
comp_trd | |
comp_trd_assoc | |
exact_inl_snd | |
exact_of_split | |
ext | |
ext_iff | |
f_comp_g | |
f_comp_g_assoc | |
f_nat | |
f_nat_app | |
Fst | |
Fst_additive | |
Fst_map | |
Fst_obj | |
functor | |
Functor | |
functor_map | |
Functor_map_app | |
functor_map_naturality | |
Functor_obj | |
g_nat | |
g_nat_app | |
has_nsmul | |
has_zsmul | |
hom | |
ext | |
ext_iff | |
hom_inj | |
hom_inj_injective | |
sq1 | |
sq1_assoc | |
sq2 | |
sq2_assoc | |
hom_zero_fst | |
hom_zero_snd | |
hom_zero_trd | |
id | |
id_fst | |
id_snd | |
id_trd | |
is_iso_of_fst_of_trd | |
iso_of_components | |
iso_of_components' | |
iso_of_components'_hom_fst | |
iso_of_components_hom_fst | |
iso_of_components'_hom_snd | |
iso_of_components_hom_snd | |
iso_of_components'_hom_trd | |
iso_of_components_hom_trd | |
iso_of_components'_inv_fst | |
iso_of_components_inv_fst | |
iso_of_components'_inv_snd | |
iso_of_components_inv_snd | |
iso_of_components'_inv_trd | |
iso_of_components_inv_trd | |
left_split | |
splitting | |
mk_of_split | |
mk_of_split' | |
mk_split | |
mk_split_split | |
quiver | |
has_add | |
has_neg | |
has_sub | |
right_split | |
splitting | |
Snd | |
Snd_additive | |
snd_is_iso | |
Snd_map | |
Snd_obj | |
split | |
splitting | |
split | |
tfae_split | |
Trd | |
Trd_additive | |
Trd_map | |
Trd_obj | |
sigma_functor_preserves_epi | |
sigma_functor_preserves_mono | |
left_obj_zero_iso_inv | |
complex | |
to_complex_X | |
boundary_boundary_assoc | |
complex | |
to_complex | |
pullback_sheafification_compatibility_hom_apply_val | |
to_sheafify_pullback_sheafification_compatibility | |
col_exact_aux | |
decidable_eq | |
exact_kernel_ι_self | |
hom_tac | |
map_tac | |
mk_functor' | |
mk_functor'' | |
mk_of_short_exact_sequence_hom | |
o_fst | |
o_le_o | |
o_snd | |
snake_input | |
category | |
kernel_sequence | |
mk_of_short_exact_sequence_hom | |
proj | |
proj_map | |
proj_obj | |
exact_δ | |
δ | |
δ_exact | |
mk_of_homology | |
row_exact₁_aux | |
row_exact₂_aux | |
snake_input | |
exact | |
left_split | |
map | |
right_split | |
short_exact | |
iso_biprod_zero_inv | |
epi | |
mono | |
section_retraction_assoc | |
splittings_comm | |
homological_of_exists | |
homological_of_inv_rotate | |
homological_of_nat_iso | |
is_iso_of_is_iso_inv_rotate | |
is_iso_of_is_iso_of_is_iso | |
is_iso_of_is_iso_of_is_iso' | |
is_iso_of_is_iso_rotate | |
is_iso_triangle_hom_of_is_iso | |
linear_yoneda_flip_additive | |
linear_yoneda_flip_homological | |
mk_triangle_iso_hom_hom₁ | |
mk_triangle_iso_hom_hom₂ | |
mk_triangle_iso_hom_hom₃ | |
mk_triangle_iso_inv_hom₁ | |
mk_triangle_iso_inv_hom₂ | |
mk_triangle_iso_inv_hom₃ | |
neg₃_equiv_counit_iso | |
neg₃_equiv_functor | |
neg₃_equiv_inverse | |
neg₃_equiv_unit_iso | |
neg₃_functor_map_hom₁ | |
neg₃_functor_map_hom₂ | |
neg₃_functor_map_hom₃ | |
neg₃_functor_obj | |
neg₃_rotate_hom_app_hom₁ | |
neg₃_rotate_hom_app_hom₂ | |
neg₃_rotate_hom_app_hom₃ | |
neg₃_rotate_inv_app_hom₁ | |
neg₃_rotate_inv_app_hom₂ | |
neg₃_rotate_inv_app_hom₃ | |
neg₃_unit_iso_hom_app_hom₁ | |
neg₃_unit_iso_hom_app_hom₂ | |
neg₃_unit_iso_hom_app_hom₃ | |
neg₃_unit_iso_inv_app_hom₁ | |
neg₃_unit_iso_inv_app_hom₂ | |
neg₃_unit_iso_inv_app_hom₃ | |
neg_iso_hom | |
neg_iso_inv | |
of_components_hom_hom₁ | |
of_components_hom_hom₂ | |
of_components_hom_hom₃ | |
of_components_inv_hom₁ | |
of_components_inv_hom₂ | |
of_components_inv_hom₃ | |
triangle_morphism_is_iso_iff | |
nonneg_inv_rotate_mor₂ | |
nonneg_inv_rotate_obj₁ | |
nonneg_inv_rotate_obj₂ | |
nonneg_inv_rotate_obj₃ | |
nonneg_rotate_mor₁ | |
nonneg_rotate_mor₂ | |
nonneg_rotate_mor₃ | |
nonneg_rotate_neg₃ | |
nonneg_rotate_obj₁ | |
nonneg_rotate_obj₂ | |
nonneg_rotate_obj₃ | |
obj₁_functor | |
obj₁_functor_map | |
obj₁_functor_obj | |
obj₂_functor | |
obj₂_functor_map | |
obj₂_functor_obj | |
obj₃_functor | |
obj₃_functor_map | |
obj₃_functor_obj | |
shift_comm_eq_eq_to_hom | |
shift_comm_eq_eq_to_hom_assoc | |
shift_hom₁ | |
shift_hom₂ | |
shift_hom₃ | |
shift_mor₁ | |
shift_mor₂ | |
shift_mor₃ | |
shift_obj₁ | |
shift_obj₂ | |
shift_obj₃ | |
triangle_shift_functor_map | |
triangle_shift_functor_obj | |
triangle_shift_functor_ε_hom_app_hom₁ | |
triangle_shift_functor_ε_hom_app_hom₂ | |
triangle_shift_functor_ε_hom_app_hom₃ | |
triangle_shift_functor_ε_inv_app_hom₁ | |
triangle_shift_functor_ε_inv_app_hom₂ | |
triangle_shift_functor_ε_inv_app_hom₃ | |
triangle_shift_functor_μ_hom_app_hom₁ | |
triangle_shift_functor_μ_hom_app_hom₂ | |
triangle_shift_functor_μ_hom_app_hom₃ | |
triangle_shift_functor_μ_inv_app_hom₁ | |
triangle_shift_functor_μ_inv_app_hom₂ | |
triangle_shift_functor_μ_inv_app_hom₃ | |
triangle_shift_map_hom₁ | |
triangle_shift_map_hom₂ | |
triangle_shift_map_hom₃ | |
triangle_shift_obj_mor₁ | |
triangle_shift_obj_mor₂ | |
triangle_shift_obj_mor₃ | |
triangle_shift_obj_obj₁ | |
triangle_shift_obj_obj₂ | |
triangle_shift_obj_obj₃ | |
whisker_left_comp_assoc | |
yoneda'_equiv_apply | |
yoneda'_equiv_symm_apply_app | |
yoneda'_map | |
yoneda'_obj | |
cech_iso_zero_hom | |
cech_iso_zero_inv | |
ceil_add_le | |
chain_complex_embed_cofan_iso | |
chain_complex_embed_cofan_uniformly_bounded | |
exact_iff_is_zero_homology | |
exact_of_is_zero_homology | |
exact_of_mono | |
exact_zero_fst_iff_mono | |
exact_zero_snd_iff_epi | |
mk_ProjectiveResolution | |
is_zero_homology_of_exact | |
chain_complex_nat_has_homology | |
to_bounded_homotopy_category_map | |
to_bounded_homotopy_category_obj | |
to_bounded_homotopy_category_obj_val | |
chain_complex_to_bounded_homotopy_category_preserves_coproducts | |
CHFPNG₁_to_CHFPNGₑₗ_obj | |
CHPNG_coe_to_fun | |
CLCFP_def | |
map_norm_noninc | |
res_app | |
CLCFP_rescale | |
res_comp_Tinv | |
res_refl | |
T | |
T_hom_app_apply | |
CLCFPTinv₂_def | |
CLCFPTinv₂_obj | |
T_inv_app_apply | |
T_inv_app_apply_2 | |
Tinv_def' | |
T_inv_eq | |
F_def | |
F_obj | |
map_iso_hom | |
map_iso_inv | |
map_nat_app | |
map_nat_def | |
map_nat_iso | |
ι_range | |
as_nat_chain_complex_d | |
as_nat_chain_complex_X | |
cons | |
d | |
cons_d_01 | |
d_comp_d | |
cons_d_succ | |
shape | |
X | |
cons_X_0 | |
cons_X_succ | |
cons | |
comm | |
f | |
cons_f_0 | |
cons_f_succ | |
desc_comp_left | |
desc_is_iso | |
desc_spec | |
homology_zero_zero' | |
image_to_kernel_epi_of_epi | |
image_to_kernel_eq_image_to_kernel_of_eq_fst | |
image_to_kernel_eq_image_to_kernel_of_eq_snd | |
image_to_kernel_zero_left' | |
desc | |
is_iso_cokernel_pi_image_to_kernel_of_zero_of_zero | |
kernel_iso_X_of_eq_inv | |
kernel_subobject_map_epi_of_epi | |
sq_from_epi_of_epi | |
X_iso_image'_hom | |
X_iso_image_hom | |
X_iso_image_inv | |
X_iso_kernel | |
X_iso_kernel_hom | |
X_iso_kernel_inv | |
X_iso_kernel_of_eq_hom | |
cochain_complex_int_has_homology | |
to_nat_chain_complex_map_f | |
to_nat_chain_complex_obj | |
image_comp_is_iso_left_comp_ι | |
inhabited | |
congr | |
bicartesian_iff | |
ext | |
ext_iff | |
iso_hom_π | |
iso_inv_π | |
neg_iso_inv | |
of_iso | |
w_inv_assoc | |
ι_eq | |
ι_fst_assoc | |
ι_iso_hom | |
ι_iso_inv | |
ι_snd_assoc | |
preserves_limits | |
coe_comp_apply | |
coe_id_apply | |
comp_apply | |
cone_of_pt_X | |
cone_of_pt_π_app | |
continuous_of_is_limit | |
diagram_of_pt_map | |
diagram_of_pt_obj | |
filtration_pi_homeo_apply | |
filtration_pi_homeo_symm_apply | |
id | |
neg | |
strict | |
zsmul | |
coe_mk | |
coe_mk' | |
copy_to_fun | |
id_to_fun | |
inhabited | |
map_neg | |
map_sub | |
mk_to_monoid_hom | |
to_schfpsng_hom | |
to_add_monoid_hom_hom_injective | |
zero_apply | |
comp_to_fun | |
has_zero | |
id_to_fun | |
inhabited | |
apply | |
apply | |
level_coe | |
map_neg | |
map_sub | |
mk'_apply | |
mk_to_monoid_hom | |
as_lvl | |
as_lvl_add | |
comp_apply | |
neg_def | |
create_hom_from_level | |
create_hom_from_level_to_fun | |
create_iso_from_level | |
create_iso_from_level_add_aux | |
create_iso_from_level_add_aux_aux | |
create_iso_from_level_compat_aux | |
create_iso_from_level_zero_aux | |
extend_aux' | |
P1_functor_map | |
P1_functor_map_app | |
P1_functor_obj | |
P1_functor_obj_map | |
P1_functor_obj_obj | |
P2_functor_map | |
P2_functor_map_app | |
P2_functor_obj | |
P2_functor_obj_map | |
P2_functor_obj_obj | |
Filtration_obj_obj | |
id_apply | |
is_limit_ext | |
level_cone_compatible | |
level_cone_compatible_assoc | |
level_create_iso_from_level | |
level_jointly_faithful | |
level_jointly_reflects_limits | |
fac_aux | |
lift | |
lift_continuous | |
lift_fun | |
lift_fun_map_add | |
lift_fun_map_zero | |
lift_strict | |
lvl | |
lvl_spec | |
mem_filtration_iff_of_is_limit | |
hom_ext | |
lift_to_fun | |
lift_unique | |
lift_π | |
lift_π_assoc | |
π_to_fun | |
rescale_enlarging_iso_hom_app_to_fun | |
rescale_enlarging_iso_inv_app_to_fun | |
rescale_map | |
rescale_obj_M | |
rescale_obj_str | |
rescale_to_Condensed_iso | |
rescale_to_Condensed_iso_hom_app_val_app_apply | |
rescale_to_Condensed_iso_inv_app_val_app_apply | |
to_Condensed_obj | |
faithful | |
preserves_limits | |
colimit_iso_Condensed_obj_aux_apply | |
colimit_iso_Condensed_obj_aux_symm_apply | |
level_Condensed_diagram'_map_val_app_down_apply_coe | |
level_Condensed_diagram_map_val_app_down_apply_coe | |
level_Condensed_diagram'_obj_val_map_down_apply | |
level_Condensed_diagram_obj_val_map_down_apply | |
level_Condensed_diagram'_obj_val_obj | |
level_Condensed_diagram_obj_val_obj | |
level_map_apply | |
level_obj | |
comap_apply | |
Presheaf_map | |
Presheaf_obj | |
rescale₁ | |
rescale_map | |
rescale_obj | |
rescale_preserves_limits_of_shape_discrete_quotient | |
to_Condensed_map | |
to_Condensed_obj | |
CompHausFiltPseuNormGrpWithTinv | |
concrete_category | |
has_coe_to_sort | |
large_category | |
id_apply | |
injective_of_is_iso | |
c_iff | |
nat_down_int_up_c_iff | |
nat_up_int_up | |
symm_next | |
symm_prev | |
AB5 | |
Condensed_Ab_CondensedSet_adjunction'_counit_app | |
Condensed_Ab_CondensedSet_adjunction_counit_app | |
Condensed_Ab_CondensedSet_adjunction'_hom_equiv_apply | |
Condensed_Ab_CondensedSet_adjunction_hom_equiv_apply | |
Condensed_Ab_CondensedSet_adjunction'_hom_equiv_symm_apply | |
Condensed_Ab_CondensedSet_adjunction_hom_equiv_symm_apply | |
Condensed_Ab_CondensedSet_adjunction'_unit_app | |
Condensed_Ab_CondensedSet_adjunction_unit_app | |
Condensed_Ab_to_CondensedSet_obj_val | |
Condensed_Ab_to_CondensedSet_preserves_limits_of_shape_of_filtered | |
to_free_free_lift | |
Condensed_Ab_to_presheaf_obj | |
enough_projectives | |
has_coproducts_of_shape | |
has_finite_biproducts | |
has_finite_colimits | |
has_finite_limits | |
has_products_of_shape | |
has_colimits | |
has_limits | |
is_right_adjoint | |
cokernel_iso_hom_assoc | |
coproduct_presentation | |
coproduct_presentation_eq | |
coproduct_to_colimit_short_exact_sequence | |
eval_freeAb_iso | |
eval_freeAb_iso_component_neg | |
eval_freeAb_iso_component_zero | |
eval_freeCond'_iso | |
eval_freeCond'_iso_aux_neg | |
eval_freeCond'_iso_aux_zero | |
eval_freeCond'_iso_component_hom_neg | |
eval_freeCond'_iso_component_hom_zero | |
evaluation_additive | |
evaluation_exact | |
evaluation_obj | |
exact_colim_of_exact_of_is_filtered | |
exactness_in_the_middle_part_one | |
Condensed_ExtrSheaf_equiv_inverse_val | |
Condensed_ExtrSheafProd_equiv_functor_obj_val | |
forget_to_CondensedType | |
is_right_adjoint | |
forget_to_CondensedType_map | |
forget_to_CondensedType_obj | |
half_internal_hom | |
half_internal_hom_eval_iso | |
half_internal_hom_iso | |
homology_evaluation_iso | |
homology_functor_evaluation_iso | |
is_iso_iff_ExtrDisc | |
of_top_ab_map_val | |
presentation_point_isomorphism | |
preserves_finite_limits | |
Condensed_product_iso_biproduct_spec | |
Condensed_product_iso_biproduct_spec'_assoc | |
Condensed_product_iso_biproduct_spec_assoc | |
Condensed_product_iso_product_spec' | |
Condensed_product_iso_product_spec'_assoc | |
Condensed_product_iso_product_spec_assoc | |
Condensed_prod_val_iso_spec'_assoc | |
Condensed_prod_val_iso_spec_assoc | |
Profinite_to_presheaf_Ab | |
coe_val_obj_sigma_equiv | |
coe_val_obj_sigma_equiv_symm | |
preserves_limits | |
evaluation_map | |
evaluation_obj | |
is_colimit_sigma_cone | |
CondensedSet_presheaf_adjunction_counit_app | |
CondensedSet_presheaf_adjunction_hom_equiv_apply | |
CondensedSet_presheaf_adjunction_hom_equiv_symm_apply | |
CondensedSet_presheaf_adjunction_unit_app | |
sigma_cone | |
sigma_cone_X | |
sigma_cone_ι_app | |
CondensedSet_to_Condensed_Ab_iso_hom_app_val | |
CondensedSet_to_Condensed_Ab_iso_inv_app_val | |
CondensedSet_to_Condensed_Ab'_map | |
CondensedSet_to_Condensed_Ab'_obj_val | |
CondensedSet_to_Condensed_Ab_obj_val | |
CondensedSet_to_presheaf_obj | |
val_obj_sigma_equiv_symm_apply | |
val_obj_sigma_equiv_symm_apply' | |
short_exact_iff_ExtrDisc | |
tensor_curry | |
tensor_curry_eq | |
tensor_eval_iso | |
tensor_iso | |
tensor_uncurry | |
tensor_uncurry_eq | |
unsheafified_free_Cech' | |
condensify_def | |
condensify_map_comp | |
condensify_map_zero | |
condensify_nonstrict_map_add | |
condensify_nonstrict_map_neg | |
comap | |
comap_LC | |
comap_LC_linear_map | |
coproduct_eval_iso | |
whiskering_comp_hom_app_app | |
whiskering_comp_inv_app_app | |
get_kind_string | |
modifiers | |
has_to_string | |
comap_equiv | |
comap_mem_fibre_iff | |
equiv_bot | |
fibre | |
mem_fibre_iff | |
mem_fibre_iff' | |
down_two_up | |
dual_finset_antimono | |
embed_coproduct_iso | |
locally_constant_extend_of_empty | |
embed_unop | |
le_zero_iff | |
mul_inv_eq_iff_eq_mul | |
sub_pos | |
summable_of_coe_sum_eq | |
top_zpow_of_pos | |
zero_le | |
get_modifiers | |
lhs_def | |
rhs_def | |
ulift_symm_apply_down | |
eventually_constant | |
exact_notation | |
exists_norm_sub_le_mul | |
get_pi_app_fn | |
Ext_compute_with_acyclic_naturality_assoc | |
Ext_coproduct_iso_naturality_inv | |
Ext_coproduct_iso_naturality_inv_assoc | |
Ext_coproduct_iso_naturality_shift_assoc | |
Ext_coproduct_iso_π_assoc | |
to_AddCommGroup_iso_apply | |
preadditive_yoneda_obj_obj_CondensedSet_to_Condensed_Ab_apply | |
ExtQprime_iso_aux_system_obj_aux'_natural_assoc | |
binary_product_condition | |
category_hom | |
category_id_val | |
coe_fun_eq | |
compact_space | |
empty | |
elim | |
elim_val | |
hom_ext | |
empty_val | |
ext_iff | |
lift_lifts'_assoc | |
of | |
of_val | |
sum | |
desc | |
desc_val | |
hom_ext | |
inl | |
inl_desc | |
inl_val | |
inr | |
inr_desc | |
inr_val | |
sum_val | |
t2_space | |
terminal_condition | |
topological_space | |
ExtrDisc_to_Profinite_obj | |
totally_disconnected_space | |
half_internal_hom | |
half_internal_hom_val_obj | |
category_hom | |
evaluation | |
evaluation_additive | |
half_internal_hom | |
half_internal_hom_val_map | |
half_internal_hom_val_obj | |
ext_iff | |
hom_has_add | |
hom_has_add_add_val | |
hom_has_neg | |
hom_has_neg_neg_val | |
hom_has_sub | |
hom_has_sub_sub_val | |
hom_has_zero | |
hom_has_zero_zero_val | |
map_tensor_val_app | |
preadditive | |
tensor_curry | |
tensor_curry_uncurry | |
tensor_functor | |
tensor_functor_additive | |
tensor_functor_flip_additive | |
tensor_functor_map_app | |
tensor_functor_obj_map | |
tensor_functor_obj_obj | |
tensor_presheaf_map | |
tensor_presheaf_obj | |
tensor_uncurry | |
tensor_uncurry_curry | |
tensor_val | |
tensor_curry | |
tensor_functor_additive | |
tensor_functor_map_app | |
tensor_functor_obj_map | |
tensor_functor_obj_obj | |
tensor_uncurry | |
tensor_val_obj | |
fact_le_of_add_one_le | |
file_name | |
filtered_cocone_X_val | |
filtered_cocone_ι_app_val | |
Filtration_cast_eq_hom | |
Filtration_cast_eq_inv | |
cast_le_apply | |
Filtration_obj_map_apply | |
Filtration_obj_obj | |
pi_iso | |
cast_le_app | |
cast_le_vcomp_Tinv | |
filtration_pow_iso_aux'₀_spec' | |
filtration_pow_iso_aux'₀_spec'_assoc | |
filtration_pow_iso_aux'₀_spec_assoc | |
filtration_pow_iso_aux'_spec' | |
filtration_pow_iso_aux_spec' | |
filtration_pow_iso_aux'_spec'_assoc | |
filtration_pow_iso_aux'_spec_assoc | |
filtration_pow_iso_aux_spec'_assoc | |
filtration_pow_iso_aux_spec_assoc | |
filtration_pow_iso_spec' | |
filtration_pow_iso_spec'_assoc | |
filtration_pow_iso_spec_assoc | |
FiltrationPow_map | |
mul_iso_hom | |
mul_iso_inv | |
FiltrationPow_obj | |
Tinv_app | |
Tinv_app_apply_coe | |
res | |
res_app_apply_coe | |
Filtration_rescale | |
res_comp | |
res_refl | |
Tinv₀_app | |
Tinv₀_comp_res | |
floor_le | |
le_ceil | |
mem_span_iff | |
prod_attach' | |
prod_comap | |
sum_nat_abs_le | |
Fintype_invpoly_obj_M | |
Fintype_invpoly_obj_str | |
iso_of_equiv_hom | |
iso_of_equiv_inv | |
LaurentMeasure | |
Fintype_LaurentMeasures_obj_M | |
Fintype_LaurentMeasures_obj_str | |
Fintype_Lbar_obj_M | |
Fintype_Lbar_obj_str | |
normed_free_pfpng | |
normed_free_pfpng_unit | |
first_target_stmt | |
FLC_functor'_map | |
FLC_functor'_obj | |
floor_add_floor_le | |
smul_iff | |
smul_nat_iff | |
lift_id_map | |
discrete_quotient_separates_points | |
free_pfpng_functor_obj_M | |
free_pfpng_functor_obj_str | |
functor_coe_to_fun | |
map_map' | |
map_unop | |
functor_prod_eval_iso_spec_assoc | |
generates_norm_of_generates_nnnorm | |
comp_lift | |
comp_lift_assoc | |
desc_comp | |
desc_comp_assoc | |
desc_π | |
eq_map_of_π_map_ι | |
fst_eq_zero | |
fst_snd_eq_zero | |
iso_inv | |
iso_ι | |
lift_ι | |
lift_π | |
lift_π_assoc | |
map_desc_assoc | |
map_ι_assoc | |
snd_eq_zero | |
ι_desc | |
ι_desc_assoc | |
ι_eq_desc | |
π_comp_desc_assoc | |
π_eq_lift | |
π_iso | |
π_map_ι | |
fact | |
hom_equiv_evaluation_apply_eq_app_id | |
hom_equiv_evaluation_symm_apply_val_app_apply | |
hom_functor'_map | |
hom_functor_map | |
hom_functor'_obj_carrier | |
hom_functor_obj_M | |
hom_functor'_obj_str | |
hom_functor_obj_str | |
lift_map_assoc | |
map_desc | |
map_desc_assoc | |
map_iso_hom | |
map_iso_inv | |
biproduct_bicone | |
biproduct_bicone_fst | |
biproduct_bicone_inl | |
biproduct_bicone_inr | |
biproduct_bicone_is_coprod | |
biproduct_bicone_is_prod | |
biproduct_bicone_snd | |
biproduct_bicone_X | |
desc | |
desc_f | |
fst_f | |
inl_f | |
inr | |
inr_f | |
biproduct_is_biprod | |
lift_f | |
snd | |
snd_f | |
biproduct_X | |
boundaries_arrow_comp_delta_to_boundaries_assoc | |
boundaries_arrow_comp_delta_to_cycles_assoc | |
epi | |
has_binary_biproducts | |
has_colimits_of_shape | |
has_colimits_of_size | |
has_limits_of_size | |
cokernel_complex_cofork_X_d | |
cokernel_complex_cofork_X_X | |
cokernel_complex_cofork_ι_app | |
cokernel_complex_d | |
cokernel_complex_desc_f | |
cokernel_complex_X | |
colimit_complex_cocone_X | |
colimit_complex_cocone_ι_app_f | |
colimit_complex_d | |
colimit_complex_X | |
comp_termwise_split_to_cone_homotopy_hom | |
desc_of_null_homotopic | |
cone_from_zero | |
in_map_assoc | |
lift_of_null_homotopic | |
map_id | |
map_out_assoc | |
cone_to_termwise_split_comp_homotopy | |
cone_to_termwise_split_comp_homotopy_hom | |
cone_to_termwise_split_f | |
cone_to_zero | |
triangle_functorial | |
triangleₕ_map_hom₃ | |
triangleₕ_mor₁ | |
triangleₕ_mor₂ | |
triangleₕ_mor₃ | |
triangleₕ_obj₁_as | |
triangleₕ_obj₂_as | |
triangleₕ_obj₃_as_d | |
triangleₕ_obj₃_as_X | |
triangle_map | |
triangle_map_hom₁ | |
triangle_map_hom₂ | |
triangle_map_hom₃ | |
triangle_map_id | |
triangle_mor₁ | |
triangle_mor₂ | |
triangle_mor₃ | |
triangle_obj₁ | |
triangle_obj₂ | |
triangle_obj₃ | |
cone_X | |
congr_next_functor | |
congr_prev_functor | |
cycles_to_homology_app | |
desc_of_is_colimit_eval_f | |
d_of_none | |
d_to_none | |
embed_eval_iso_of_some_hom_app | |
embed_eval_iso_of_some_inv_app | |
embed_eval_is_zero_of_none | |
embed_homotopy_hom_eq_zero_of_of_none | |
embed_homotopy_hom_eq_zero_of_to_none | |
embed_homotopy_hom_some | |
embed_iso | |
embed_nat_obj_down_up_pos | |
embed_nat_obj_down_up_succ | |
embed_nat_obj_down_up_succ_f | |
embed_nat_obj_down_up_zero | |
embed_nat_obj_down_up_zero_pos | |
homological_complex_embed_preserves_coproducts | |
embed_short_complex_π_app_τ₁ | |
embed_short_complex_π_app_τ₂ | |
embed_short_complex_π_app_τ₃ | |
X_some | |
epi_iff_eval | |
epi_of_eval | |
epi_prev | |
epi_prev' | |
preserves_colimits_of_size | |
preserves_limits_of_size | |
eval_functor | |
eval_functor_equiv | |
eval_functor_homology_iso | |
eval_functor_map_f | |
obj | |
eval_functor_obj | |
obj_d | |
obj_X | |
exact_next | |
exact_prev | |
epi | |
functor_eval_homology_iso | |
functor_eval_homology_nat_iso | |
functor_eval_homology_nat_iso_hom_app_app | |
functor_eval_homology_nat_iso_inv_app_app | |
functor_eval_map_app_f | |
functor_eval_obj | |
obj_map_f | |
obj_obj_d | |
obj_obj_X | |
homological_complex_has_homology | |
subsingleton_to_none | |
desc'_ι | |
desc'_ι_assoc | |
homology_to_mod_boundaries_app | |
π'_lift | |
π'_lift_assoc | |
quotient_obj_shift | |
shift_as | |
shift_functor_obj_as | |
comp_X_eq_to_iso | |
comp_X_eq_to_iso_assoc | |
homotopy_connecting_hom_of_splittings | |
homotopy_connecting_hom_of_splittings_hom | |
X_eq_to_iso_comp | |
X_eq_to_iso_comp_assoc | |
hom_single_iso_symm_apply_f | |
iso_cone_of_termwise_split_hom_hom₁ | |
iso_cone_of_termwise_split_hom_hom₂ | |
iso_cone_of_termwise_split_hom_hom₃ | |
iso_cone_of_termwise_split_inv_hom₁ | |
iso_cone_of_termwise_split_inv_hom₂ | |
iso_cone_of_termwise_split_inv_hom₃ | |
iso_connecting_hom_shift_cone_inv_f | |
kernel | |
kernel_complex_d | |
kernel_complex_fork_X_d | |
kernel_complex_fork_X_X | |
kernel_complex_fork_π_app | |
kernel_complex_lift_f | |
kernel_complex_X | |
kernel_d | |
π | |
kernel_X | |
ι | |
ι_f | |
ι_mono | |
lift_of_is_limit_eval_f | |
limit_complex_cone_X | |
limit_complex_cone_π_app_f | |
limit_complex_d | |
limit_complex_X | |
mod_boundaries_functor_obj | |
modify_d | |
modify_functor_map_f | |
modify_functor_obj | |
modify_X | |
mono_iff_eval | |
mono_next | |
mono_next' | |
next_functor | |
next_functor_iso_eval | |
next_functor_map | |
next_functor_obj | |
preserves_finite_colimits | |
preserves_finite_limits | |
of_termwise_split_epi_commutes_assoc | |
of_termwise_split_mono_commutes_assoc | |
op_functor_additive | |
op_functor_obj | |
op_X | |
prev_functor | |
prev_functor_iso_eval | |
prev_functor_map | |
prev_functor_obj | |
section_X_eq_to_hom | |
section_X_eq_to_hom_assoc | |
shift_equiv_counit_app | |
shift_equiv_counit_inv_app | |
shift_equiv_unit_app | |
shift_equiv_unit_inv_app | |
shift_functor_additive | |
shift_functor_eq | |
shift_functor_map_f | |
shift_functor_obj_d | |
shift_functor_obj_X | |
shift_single_obj_hom_f | |
shift_single_obj_inv_f | |
shift_X | |
single_obj_iso_zero | |
single_shift_hom_app_f | |
single_shift_inv_app_f | |
tautological_endomorphism_f_f | |
termwise_split_epi_desc | |
termwise_split_epi_desc_f | |
termwise_split_epi_desc_split_epi | |
termwise_split_epi_lift | |
termwise_split_epi_lift_f | |
termwise_split_epi_lift_retraction | |
termwise_split_epi_lift_retraction_assoc | |
termwise_split_epi_retraction | |
termwise_split_epi_retraction_f | |
termwise_split_epi_retraction_lift | |
termwise_split_epi_retraction_lift_aux | |
termwise_split_mono_factor_homotopy_equiv_hom | |
termwise_split_mono_factor_homotopy_equiv_homotopy_hom_inv_id | |
termwise_split_mono_factor_homotopy_equiv_homotopy_inv_hom_id | |
termwise_split_mono_factor_homotopy_equiv_inv | |
termwise_split_mono_section_desc_assoc | |
triangleₕ_map_splittings_hom | |
triangleₕ_map_splittings_hom_hom₁ | |
triangleₕ_map_splittings_hom_hom₂ | |
triangleₕ_map_splittings_hom_hom₃ | |
triangleₕ_map_splittings_iso | |
triangleₕ_map_splittings_iso_hom | |
triangleₕ_map_splittings_iso_inv | |
triangleₕ_of_termwise_split_mor₁ | |
triangleₕ_of_termwise_split_mor₂ | |
triangleₕ_of_termwise_split_mor₃ | |
triangleₕ_of_termwise_split_obj₁_as | |
triangleₕ_of_termwise_split_obj₂_as | |
triangleₕ_of_termwise_split_obj₃_as | |
triangle_of_termwise_split_mor₁ | |
triangle_of_termwise_split_obj₁ | |
triangle_of_termwise_split_obj₂ | |
triangle_of_termwise_split_obj₃ | |
unop_functor_additive | |
unop_functor_obj | |
unop_X | |
X_eq_to_iso_shift | |
desc_zero | |
has_ι | |
has_π | |
apply_exact_functor_cofork_is_colimit | |
apply_exact_functor_fork_is_limit | |
apply_exact_functor_to_homology_iso_predatum | |
coker_iso_iso₃_hom_assoc | |
fac₁_assoc | |
fac₂_assoc | |
fac₃_assoc | |
tautological_κ | |
is_iso | |
η_iso | |
η_iso_hom_assoc | |
cokernel_f'_eq_π_iso₂_hom_assoc | |
f'_iso₁_hom_assoc | |
map_iso | |
of_both_zeros_cofork_is_colimit | |
of_both_zeros_fork_is_limit | |
of_both_zeros_to_homology_iso_predatum_f' | |
of_both_zeros_to_homology_iso_predatum_K | |
of_both_zeros_to_homology_iso_predatum_ι | |
of_both_zeros_to_homology_iso_predatum_π | |
of_f_is_zero_cofork_is_colimit | |
of_f_is_zero_fork_is_limit | |
of_f_is_zero_to_homology_iso_predatum_f' | |
of_f_is_zero_to_homology_iso_predatum_K | |
of_f_is_zero_to_homology_iso_predatum_ι | |
of_f_is_zero_to_homology_iso_predatum_π | |
of_g_is_zero_cofork_is_colimit | |
of_g_is_zero_fork_is_limit | |
of_g_is_zero_to_homology_iso_predatum_f' | |
of_g_is_zero_to_homology_iso_predatum_K | |
of_g_is_zero_to_homology_iso_predatum_ι | |
of_g_is_zero_to_homology_iso_predatum_π | |
of_homological_complex | |
tautological'_cofork_is_colimit | |
tautological_cofork_is_colimit | |
tautological'_fork_is_limit | |
tautological_fork_is_limit | |
tautological'_iso₁ | |
tautological_iso_hom | |
tautological'_to_homology_iso_predatum | |
tautological_to_homology_iso_predatum | |
mono | |
apply_functor_f' | |
apply_functor_K | |
apply_functor_ι | |
apply_functor_π | |
cofork_X | |
fac_assoc | |
fork_X | |
map_iso | |
map_iso_f' | |
map_iso_K | |
map_iso_ι | |
map_iso_π | |
tautological'_f' | |
tautological_f' | |
tautological'_K | |
tautological_K | |
tautological'_ι | |
tautological_ι | |
tautological'_π | |
tautological_π | |
zero₁_assoc | |
zero₂_assoc | |
lift_desc | |
lift_desc' | |
lift_desc'_of_eq_zero | |
fac₁_assoc | |
map_exact_functor_κ | |
of_g_are_zeros | |
tautological'_κ | |
add_left_hom | |
add_right_hom | |
is_acyclic_of_iso | |
is_quasi_iso_cone_π | |
lift_triangle_map_hom₁ | |
lift_triangle_map_hom₂ | |
lift_triangle_map_hom₃ | |
lift_triangle_obj | |
quotient_map_sub | |
quotient_op_functor | |
quotient_unop_functor | |
single_map | |
single_obj_as_d | |
single_obj_as_X | |
triangleₕ_of_termwise_split_mem_distinguished_triangles | |
unop_functor | |
congr_hom | |
sub_left_hom | |
sub_right_hom | |
index_up_one_eq_set_up_one_range | |
neg_one_pow_arrow_iso_left_hom_left | |
neg_one_pow_arrow_iso_left_hom_right | |
neg_one_pow_arrow_iso_left_inv_left | |
neg_one_pow_arrow_iso_right_hom_left | |
neg_one_pow_arrow_iso_right_hom_right | |
neg_one_pow_arrow_iso_right_inv_left | |
neg_one_pow_bit0 | |
neg_one_pow_bit1 | |
neg_one_pow_eq_neg_one_npow | |
neg_one_pow_eq_pow_abs | |
neg_one_pow_even | |
neg_one_pow_ite | |
neg_one_pow_neg | |
neg_one_pow_neg_one | |
neg_one_pow_odd | |
neg_one_pow_smul_iso_hom | |
neg_one_pow_smul_iso_inv | |
neg_one_pow_sub | |
tsum_eq_nat_tsum_of_bdd_below | |
coe_nnnorm | |
eval2_to_fun | |
has_norm | |
norm_nonneg | |
map_bound' | |
nonneg_of_norm_mul_zpow | |
norm_add | |
norm_def | |
nsmul_apply | |
sub_apply | |
summable | |
Tinv_coeff | |
Tinv_hom_to_fun | |
to_laurent_measures_nat_trans_app | |
to_laurent_measures_of_laurent_measures | |
zpow_strict_anti | |
zsmul_apply | |
is_bounded_above_shift | |
is_clopen_sUnion | |
is_closed_sUnion | |
is_locally_constant_iff_clopen_fibers | |
is_lub_iff | |
iso_of_zero_of_bicartesian | |
iso_on_the_left_neg₀_spec | |
iso_on_the_left_neg₀_spec'_assoc | |
iso_on_the_left_neg₀_spec_assoc | |
iso_on_the_left_neg_spec'_assoc | |
iso_on_the_left_neg_spec_assoc | |
iso_on_the_left_zero₀_spec | |
iso_on_the_left_zero₀_spec'_assoc | |
iso_on_the_left_zero₀_spec_assoc | |
iso_on_the_left_zero_spec'_assoc | |
iso_on_the_left_zero_spec_assoc | |
iso_on_the_right_neg_spec | |
iso_on_the_right_neg_spec' | |
iso_on_the_right_neg_spec'_assoc | |
iso_on_the_right_neg_spec_assoc | |
iso_on_the_right_zero_spec | |
iso_on_the_right_zero_spec' | |
iso_on_the_right_zero_spec'_assoc | |
iso_on_the_right_zero_spec_assoc | |
map_apply | |
map_comp | |
map_id | |
condensed | |
condensedCH | |
map_bound' | |
has_continuous_smul | |
nonneg_of_norm_mul_zpow | |
norm_add | |
profinite | |
profiniteCH | |
profiniteCH_map | |
profiniteCH_obj | |
profinite_comp_PFPNGT₁_to_CHFPNG₁ₑₗ | |
profinite_map | |
profinite_obj | |
cfpng_hom_add | |
cfpng_hom_neg | |
add_comm_group | |
Φ | |
Φ_eq_ϕ | |
Φ_natural | |
to_Lbar_surjective | |
zsmul_apply | |
coeff_bound | |
has_zero | |
inhabited | |
transition_cast_le | |
transition_transition | |
coeff_apply | |
extend_commutes_comp_extend_extends''_assoc | |
extend_commutes_comp_extend_extends'_assoc | |
geom_to_fun | |
inhabited | |
cast_le_apply | |
coe_cast_le | |
coe_hom_of_normed_group_hom_apply | |
coe_mk | |
eq_iff_truncate_eq | |
has_zero | |
inhabited | |
injective_cast_le | |
Tinv_apply | |
truncate_mk_seq | |
mk_aux' | |
mk_aux'_apply_to_fun | |
mk_aux_apply_to_fun | |
mk_aux_mem_filtration | |
nnnorm_nsmul | |
Tinv_aux_ne_zero | |
Tinv_ne_zero | |
LCFP_def | |
map_norm_noninc | |
normed_with_aut | |
res_app_apply | |
LCFP_rescale | |
res_comp_res | |
res_comp_Tinv | |
res_refl | |
T | |
T_hom_app_apply_apply | |
T_inv_app_apply | |
Tinv_app_apply | |
T_inv_app_apply_apply | |
Tinv_def | |
T_inv_eq | |
Tinv_norm_noninc | |
T_hom_app_apply | |
T_inv_app_apply | |
T_inv_app_apply_apply | |
T_inv_eq | |
lc_to_c | |
hom_Lbar_cone_X | |
le_unbundled | |
to_add_equiv_apply | |
to_add_equiv_symm_apply | |
sections | |
liquid_tensor_experiment_statement | |
extract_cons_succ_left | |
extract_zero_right | |
list_items_aux | |
list_type_items | |
list_value_items | |
continuous_eval | |
mem_finset_clopen_unique' | |
dist_def | |
edist_apply_le | |
edist_def | |
locally_constant_eq | |
eq_sum | |
eq_sum_of_fintype | |
has_edist | |
linear_eval | |
map_hom_comp | |
map_zero | |
metric_space | |
nnnorm_apply_le_nnnorm | |
norm_const | |
norm_const_zero | |
normed_add_comm_group | |
normed_space | |
norm_eq_iff' | |
norm_zero | |
sum_apply | |
uniform_space | |
lt_of_lt_of_le_unbundled | |
main | |
map_homological_complex_embed | |
maps_comm | |
mk_pullback_fst | |
mnot | |
coe_of'' | |
projective_of_of_projective | |
quotient_congr | |
surjective_congr | |
my_name_to_string | |
partition | |
nat_abs_lt_nat_abs_of_nonneg_of_lt | |
eq_zero_or_exists_eq_add_of_ne_one | |
injective_pow | |
monotone_pow | |
strict_mono_pow | |
nat_up_int_down_c_iff | |
natural_fork | |
abs_eq | |
bot_eq_zero | |
div_lt_iff | |
div_lt_one_of_lt | |
half_lt_self | |
inv_le | |
inv_le_of_le_mul | |
le_inv_iff_mul_le | |
le_of_forall_lt_one_mul_le | |
lt_div_iff | |
lt_inv_iff_mul_lt | |
mul_finset_sup | |
mul_le_iff_le_inv | |
mul_lt_of_lt_div | |
mul_sup | |
sum_div | |
two_inv_lt_one | |
fact_inv_mul_le | |
fact_le_inv_mul_self | |
fact_le_subst_left' | |
fact_le_subst_right | |
fact_le_subst_right' | |
fact_nat_cast_inv_le_one | |
fact_one_le_add_one | |
fact_two_pow_inv_le_one | |
inv_mul_le_iff | |
le_self_rpow | |
fund_thm' | |
zero_fst_le | |
r_sub_sum_small | |
zero_def | |
zero_le | |
zpow_le_iff_log | |
nonstrict_extend_map_add | |
nonstrict_extend_map_neg | |
nonstrict_extend_mono | |
coe_range | |
normed_free_pfpng_functor_map | |
normed_free_pfpng_functor_obj_M | |
normed_free_pfpng_functor_obj_str | |
normed_snake_dual | |
normed_space' | |
normed_space' | |
NSH_δ_res_f | |
of_epi_g | |
to_homology_iso_predatum_π | |
one_lt_two_r | |
oof | |
eq_none_or_eq_some | |
enum_iso'_symm_apply_coe | |
monotone_pow | |
choose_normed_with_aut_T_hom | |
has_coe_to_fun_condensed_eval | |
has_continuous_smul | |
has_continuous_smul_δ_aux | |
has_continuous_smul_δ_aux₁ | |
has_continuous_smul_δ_aux₂ | |
has_continuous_smul_δ_aux₃ | |
has_p_norm | |
lp | |
pBanach_lp_coe_to_fun | |
nontrivial | |
lp_type | |
complete_space | |
has_coe_to_fun | |
has_continuous_smul | |
has_nnnorm | |
has_norm | |
has_norm_norm | |
module | |
normed_add_comm_group | |
pseudo_metric_space | |
summable | |
triangle | |
norm_le_of_forall_sum_le | |
norm_le_of_tendsto | |
p_banach | |
smul_normed_hom_apply | |
sum_rpow_le_norm | |
sum_rpow_le_of_tendsto | |
uniform_continuous_coe | |
pfpng_ctu_const | |
pfpng_ctu_id | |
pfpng_ctu_smul_int | |
pfpng_ctu_smul_nat | |
sub | |
PFPNGT₁_to_CHFPNG₁ₑₗ_map_to_fun | |
PFPNGT₁_to_CHFPNG₁ₑₗ_obj_M | |
PFPNGT₁_to_CHFPNG₁ₑₗ_obj_str | |
pi_induced_induced | |
coe_incl_apply | |
augmentation_map_equalizes | |
has_zero_morphisms | |
finsupp_fin_one_iso_hom | |
map_succ_zero | |
map_succ_zero_aux | |
Cech_conerve_obj | |
π_hom | |
epi | |
coe_id | |
coe_of | |
π_is_quotient | |
filtration_fintype | |
coe_injective | |
coe_inj_iff | |
coe_mk_polyhedral_lattice_hom | |
coe_mk_polyhedral_lattice_hom' | |
Hom_cosimplicial_zero_iso_aux_rfl | |
ext_iff | |
Hom_finsupp_equiv_apply | |
Hom_finsupp_iso_hom_to_fun | |
Hom_finsupp_iso_inv_to_fun_apply | |
has_zero | |
map_sub | |
Hom_map_to_fun | |
mk_to_add_monoid_hom | |
Hom_obj | |
Hom_rescale_hom_symm_apply | |
to_add_monoid_hom_injective | |
to_fun_eq_coe | |
to_normed_group_hom | |
to_normed_group_hom_apply | |
profinitely_filtered_pseudo_normed_group | |
rescale | |
rescale_map_apply | |
rescale_obj | |
rescale_proj | |
rescale_proj_bound_by | |
Tinv_apply | |
to_SemiNormedGroup | |
unrescale | |
π_is_quotient | |
polyhedral_postcompose'_to_add_monoid_hom_apply | |
polyhedral_postcompose_to_fun | |
pos_line | |
Pow | |
pow_d_le_z | |
pow_equiv | |
pow_filtration_hom_ext | |
Pow_map | |
Pow_mul | |
Pow_mul_hom | |
Pow_mul_inv | |
Pow_obj | |
pow_pow | |
Pow_Pow_X | |
Pow_Pow_X_hom_apply | |
Pow_Pow_X_inv_apply | |
preadditive_yoneda_obj_obj_CondensedSet_to_Condensed_Ab_natural_assoc | |
preserves_finite_biproducts_Condensed_evaluation | |
preserves_limits_aux_1 | |
preserves_limits_of_shape_of_filtered_aux | |
preserves_limits_of_shape_pempty_of_preserves_terminal | |
presheaf_to_Condensed_Ab_preserves_colimits | |
presheaf_to_CondensedSet_map | |
presheaf_to_CondensedSet_obj_val | |
print_item_crawl | |
product_iso_biproduct | |
product_iso_biproduct_spec | |
product_iso_biproduct_spec' | |
product_iso_biproduct_spec'_assoc | |
product_iso_biproduct_spec_assoc | |
ProFiltPseuNormGrp | |
comp_apply | |
id_apply | |
is_limit_ext | |
mem_filtration_iff_of_is_limit | |
PFPNG₁_to_PFPNGₑₗ | |
lift_π_assoc | |
product_pow_iso_spec'_assoc | |
product_pow_iso_spec_assoc | |
faithful | |
bundled_hom | |
coe_comp | |
coe_comp_apply | |
coe_id | |
coe_of | |
has_forget₂ | |
concrete_category | |
has_coe_to_sort | |
has_zero | |
inhabited | |
large_category | |
of | |
profinitely_filtered_pseudo_normed_group | |
to_CompHausFilt | |
to_CompHausFilt_map | |
to_CompHausFilt_obj_str | |
to_CompHausFilt_obj_α | |
compact_space | |
t2_space | |
totally_disconnected_space | |
coe_comp_apply | |
coe_sum | |
gadget_cone_X | |
gadget_cone_π_app | |
gadget_diagram_fst_fst_app | |
gadget_diagram_map | |
gadget_diagram_obj | |
is_limit_ext | |
level_map_app_apply | |
level_obj_map_apply | |
level_obj_obj | |
limit_cone_is_limit | |
map_lvl_cast_lvl_eq_assoc | |
map_lvl_comp_assoc | |
preserves_limits | |
PFPNGT₁_to_PFPNGTₑₗ | |
product | |
fan | |
hom_ext | |
is_limit | |
lift | |
lift_to_fun | |
lift_unique | |
lift_π | |
lift_π_assoc | |
π | |
π_to_fun | |
rescale | |
rescale_map | |
rescale_obj_M | |
rescale_obj_str | |
rescale_out | |
rescale_out_app_to_fun | |
Tinv_limit_add_monoid_hom_apply | |
coe_comp | |
coe_of | |
has_zero | |
inhabited | |
apply | |
iso_of_equiv_of_strict'_inv_apply | |
apply | |
of_coe | |
Pow_mul_comm_obj_equiv_symm_apply | |
Pow_mul_inv | |
Pow_obj | |
Pow_rescale_aux_apply | |
Pow_rescale_aux_symm_apply | |
rescale_obj | |
compact_space | |
t2_space | |
totally_disconnected_space | |
arrow_cone_iso | |
arrow_cone_iso_hom_hom_left_apply_coe | |
arrow_cone_iso_hom_hom_right_apply_coe | |
arrow_cone_iso_inv_hom | |
arrow_cone_X | |
arrow_cone_π_app_left_apply | |
arrow_cone_π_app_right_apply | |
arrow_diagram_map_left_apply | |
arrow_diagram_map_right_apply | |
arrow_diagram_obj_hom_apply | |
arrow_diagram_obj_left_to_CompHaus_to_Top_str_is_open | |
arrow_diagram_obj_left_to_CompHaus_to_Top_α | |
arrow_diagram_obj_right_to_CompHaus_to_Top_str_is_open | |
arrow_diagram_obj_right_to_CompHaus_to_Top_α | |
arrow_limit_cone_cone | |
arrow_limit_cone_is_limit | |
bdd_add | |
bdd_LC_iff_comparison | |
bdd_neg | |
bdd_weak_dual | |
comphaus_filtered_pseudo_normed_group | |
bdd_weak_dual_filtration_homeo | |
pseudo_normed_group | |
bdd_zero | |
bot_initial_desc | |
Cech_cone_diagram_obj | |
Cech_cone_is_limit_lift | |
Cech_cone_X | |
Cech_cone_π_app | |
change_cone_X | |
compact_space_Radon | |
compact_space_Radon_LC | |
compact_space_Radon_LC_of_discrete_quotient | |
continuous_Radon_equiv_Radon_LC | |
continuous_Radon_equiv_Radon_LC_symm | |
continuous_Radon_LC_comparison_component_equiv_symm | |
continuous_weak_dual_LC_to_fun | |
dense_range_coe₂ | |
discrete_topology_pmz | |
empty_is_initial | |
add_comm_group | |
hom_ext | |
lift | |
lift_ι | |
lift_ι_assoc | |
extend_commutes_comp_extend_extends_assoc | |
extend_commutes_inv_app | |
extend_map | |
extend_nat_trans_id | |
extend_nat_trans_whisker_right | |
extend_obj | |
extend_unique | |
fintype_arrow_diagram_map_left | |
fintype_arrow_diagram_map_right | |
fintype_arrow_diagram_obj_hom | |
fintype_arrow_diagram_obj_left | |
fintype_arrow_diagram_obj_right | |
free'_lift_val_eq_sheafification_lift | |
image_stabilizes | |
is_limit_arrow_cone | |
is_limit_arrow_cone_lift_left_apply | |
is_limit_arrow_cone_lift_right_apply | |
is_limit_left_arrow_cone_lift_apply | |
is_limit_prod_cone | |
is_limit_prod_cone_lift_apply | |
is_limit_Radon_CompHaus_cone | |
is_limit_Radon_LC_CompHaus_cone | |
is_limit_Radon_LC_cone | |
continuous_Radon_LC | |
linear_map | |
Radon_LC | |
weak_dual | |
is_limit_Radon_png_cone | |
is_limit_Radon_png_cone_map_level | |
is_limit_right_arrow_cone_lift_apply | |
left_arrow_cone_iso_hom_hom_apply_coe | |
left_arrow_cone_iso_inv_hom | |
left_arrow_cone_X | |
left_arrow_cone_π_app_apply | |
pi_lift_to_fun | |
pi_proj_to_fun | |
Tinv₀_coe | |
Tinv₀_hom_apply | |
map_Radon | |
map_Radon_LC | |
map_Radon_png | |
normed_free_pfpng | |
normed_free_pfpng_level_iso | |
normed_free_pfpng_π | |
normed_free_pfpng_π_w | |
profinite_pow_filtration_iso_component_spec' | |
profinite_pow_filtration_iso_component_spec'_assoc | |
profinite_pow_filtration_iso_spec' | |
profinite_pow_filtration_iso_spec'_assoc | |
prod_cone | |
prod_cone_X_to_CompHaus_to_Top_str_is_open | |
prod_cone_X_to_CompHaus_to_Top_α | |
prod_cone_π_app | |
prod_iso | |
prod_iso_hom | |
prod_iso_inv | |
hom_ext | |
Radon | |
Radon_closed_embedding | |
Radon_closed_embedding_range_bdd | |
Radon_CompHaus_comparison | |
Radon_CompHaus_cone | |
Radon_CompHaus_functor | |
Radon_CompHaus_functor_iso_Radon_LC_CompHaus_functor | |
Radon_equiv_Radon_LC | |
Radon_functor | |
Radon_functor_iso_Radon_LC_functor | |
Radon_homeomorph_Radon_LC | |
Radon_iso_limit | |
Radon_iso_Radon_LC | |
Radon_iso_real_measures | |
Radon_LC | |
Radon_LC_closed_embedding | |
Radon_LC_comparison | |
Radon_LC_comparison_component_equiv | |
Radon_LC_comparison_component_equiv_aux | |
Radon_LC_comparison_component_homeo | |
Radon_LC_comparison_component_iso | |
Radon_LC_comparison_naturality_aux | |
Radon_LC_CompHaus_comparison | |
Radon_LC_CompHaus_cone | |
Radon_LC_CompHaus_diagram | |
Radon_LC_CompHaus_functor | |
Radon_LC_cone | |
Radon_LC_functor | |
Radon_LC_to_fun | |
Radon_LC_to_fun_continuous | |
Radon_LC_to_fun_injective | |
topological_space | |
Radon_LC_to_Radon | |
Radon_LC_to_weak_dual | |
Radon_png | |
Radon_png_comparison | |
Radon_png_comparison_component | |
Radon_png_cone | |
Radon_png_functor | |
Radon_png_functor_level_iso | |
Radon_png_functor_level_iso_component | |
Radon_png_iso | |
Radon_to_fun | |
Radon_to_fun_continuous | |
Radon_to_fun_injective | |
topological_space | |
Radon_to_Radon_LC | |
Radon_to_weak_dual | |
right_arrow_cone_iso_hom_hom_apply_coe | |
right_arrow_cone_iso_inv_hom | |
right_arrow_cone_X | |
right_arrow_cone_π_app_apply | |
sigma_iso_empty | |
sigma_sum_iso | |
sum_iso_coprod | |
swap_cone_left_X | |
swap_cone_right_X | |
t2_space_fun_to_R | |
t2_space_Radon | |
t2_space_Radon_LC | |
t2_space_weak_dual | |
to_Condensed_equiv_apply | |
to_Condensed_equiv_symm_apply_val_app | |
Profinite_to_Condensed_map_val | |
Profinite_to_Condensed_obj | |
to_normed_free_pfpng | |
topological_space_bdd_weak_dual_filtration | |
weak_dual_C_equiv_LC | |
weak_dual_C_to_LC | |
weak_dual_LC_to_C | |
weak_dual_LC_to_fun | |
why_do_I_need_this | |
cast_le'_eq_cast_le | |
coe_sum' | |
filtration_obj_to_CompHaus_to_Top_str | |
filtration_obj_to_CompHaus_to_Top_α | |
filtration_pi_equiv_apply_coe | |
filtration_pi_equiv_symm_apply_coe | |
filtration_prod_equiv | |
filtration_prod_equiv_apply | |
filtration_prod_equiv_symm_apply_coe | |
mem_filtration_prod | |
neg_mem_filtration_iff | |
pow_incl | |
pow_incl_apply | |
pow_incl_injective | |
prod | |
has_limits | |
comp_apply | |
id_apply | |
level_map | |
level_map' | |
level_map_app | |
level_obj_map | |
level_obj_obj | |
mem_filtration_iff_of_is_limit | |
neg_nat_trans | |
to_Ab_map | |
to_Ab_obj | |
profinitely_filtered_pseudo_normed_group | |
profinitely_filtered_pseudo_normed_group_with_Tinv | |
QprimeFP_map | |
QprimeFP_sigma_proj_eq_0 | |
Radon_coe_to_fun | |
add_rpow_le | |
sum | |
functor_map | |
functor_obj_M | |
functor_obj_str | |
homeo_filtration_ϖ_ball_preimage | |
has_zero | |
neg_apply | |
pow_nnnorm_sum_le | |
Sup_eq' | |
decidable_rel | |
reorder | |
add_comm_monoid | |
one | |
map_comphaus_filtered_pseudo_normed_group_hom_to_fun | |
map_strict_comphaus_filtered_pseudo_normed_group_hom_to_fun | |
Tinv_to_fun | |
Completion_T_inv_eq | |
F_obj | |
map_id | |
map_nat_app | |
map_nat_id | |
forget₂_Ab_obj | |
iso_rescale_hom | |
iso_rescale_inv | |
LCC_obj_map | |
LocallyConstant_obj_obj | |
normed_with_aut_Completion | |
normed_with_aut_LCC | |
normed_with_aut_LocallyConstant_T | |
rescale_map_apply | |
rescale_obj | |
T_hom_eq | |
T_hom_incl | |
truncate_obj | |
obj_d | |
obj_d_add_one | |
obj_X | |
set_up_one_antitone | |
set_up_one_def | |
set_up_one_span | |
hom_equiv_apply | |
hom_equiv_symm_apply_val | |
has_colimit | |
cocone_X | |
cocone_ι_app_τ₁ | |
cocone_ι_app_τ₂ | |
cocone_ι_app_τ₃ | |
functor_category_equivalence | |
functor_category_equivalence_counit_iso | |
functor_category_equivalence_functor | |
functor_unit_iso_comp | |
functor_category_equivalence_inverse | |
map_τ₁ | |
map_τ₂ | |
map_τ₃ | |
obj_obj_f_app | |
obj_obj_g_app | |
obj_obj_X_map | |
obj_obj_X_obj | |
obj_obj_Y_map | |
obj_obj_Y_obj | |
obj_obj_Z_map | |
obj_obj_Z_obj | |
unit_iso | |
functor_category_equivalence_unit_iso | |
obj | |
functor_homological_complex_map_τ₁ | |
functor_homological_complex_map_τ₂ | |
functor_homological_complex_map_τ₃ | |
functor_homological_complex_obj | |
functor_homological_complex_π₁_iso_eval | |
functor_homological_complex_π₁_iso_prev_functor | |
functor_homological_complex_π₂_iso_eval | |
functor_homological_complex_π₃_iso_eval | |
functor_homological_complex_π₃_iso_next_functor | |
functor_lift_map_τ₁ | |
functor_lift_map_τ₂ | |
functor_lift_map_τ₃ | |
functor_lift_obj_obj_f | |
functor_lift_obj_obj_g | |
functor_lift_obj_obj_X | |
functor_lift_obj_obj_Y | |
functor_lift_obj_obj_Z | |
functor_nat_iso_mk | |
functor_nat_iso_mk_hom | |
functor_nat_iso_mk_inv | |
hom_mk_τ₁ | |
hom_mk_τ₂ | |
hom_mk_τ₃ | |
preserves_colimits_of_shape | |
homology_functor_iso_hom_app | |
homology_functor_iso_inv_app | |
homology_functor_obj | |
iso_mk_hom_τ₁ | |
iso_mk_hom_τ₂ | |
iso_mk_hom_τ₃ | |
iso_mk_inv_τ₁ | |
iso_mk_inv_τ₂ | |
iso_mk_inv_τ₃ | |
mk_id_τ₁ | |
mk_id_τ₂ | |
mk_id_τ₃ | |
mk_obj_f | |
mk_obj_g | |
mk_obj_X | |
mk_obj_Y | |
mk_obj_Z | |
nat_trans_hom_mk_app_τ₁ | |
nat_trans_hom_mk_app_τ₂ | |
nat_trans_hom_mk_app_τ₃ | |
nat_trans_hom_mk_comp | |
nat_trans_hom_mk_comp_assoc | |
nat_trans_hom_mk_id | |
zero_preserves_colimits_of_shape | |
ι_middle_map_τ₁ | |
ι_middle_map_τ₂ | |
ι_middle_map_τ₃ | |
ι_middle_obj_obj_f | |
ι_middle_obj_obj_g | |
ι_middle_obj_obj_X | |
ι_middle_obj_obj_Y | |
ι_middle_obj_obj_Z | |
ι_middle_π₁_is_zero | |
π₁_obj | |
π₁_preserves_colimit | |
π₂_obj | |
π₂_preserves_colimit | |
π₃_obj | |
π₃_preserves_colimit | |
sigma_ι_coproduct_eval_iso | |
sign_vectors_inhabited | |
coe_inj | |
coe_to_add_monoid_hom | |
comp_to_fun | |
id_to_fun | |
inhabited | |
level_add | |
level_neg | |
level_zero | |
map_sub | |
map_sum | |
map_zsmul | |
mk_to_monoid_hom | |
to_chfpsng_hom_to_fun | |
coe_mk | |
coe_to_add_monoid_hom | |
comp_apply | |
id_apply | |
level_coe | |
map_neg | |
mk_to_monoid_hom | |
comap_eq_iff | |
prod_nat | |
biprod_fst | |
biprod_inl | |
biprod_inr | |
biprod_snd | |
iso_hom | |
iso_inv | |
op | |
op_fst | |
op_inl | |
op_inr | |
op_snd | |
op_symm | |
op_unop | |
symm_fst | |
symm_inl | |
symm_inr | |
symm_snd | |
symm_symm | |
unop | |
unop_fst | |
unop_inl | |
unop_inr | |
unop_op | |
unop_snd | |
unop_symm | |
completion | |
congr | |
hom_apply_comp_inv_apply | |
inv_apply_hom_apply | |
of_le | |
surjective | |
iff_of_iso | |
rescale_obj | |
ScaleIndexLeft_apply | |
ScaleIndexLeft_map_app | |
ScaleIndexLeft_obj_map | |
ScaleIndexLeft_obj_obj | |
ScaleIndexRight_apply | |
ScaleIndexRight_map_app | |
ScaleIndexRight_obj_map | |
ScaleIndexRight_obj_obj | |
shift_sub_id_is_iso | |
truncate_map_app_f | |
truncate_obj_d_succ_succ | |
truncate_obj_d_zero_one | |
truncate_obj_map_f | |
truncate_obj_obj_d | |
truncate_obj_obj_X | |
col_map_f | |
col_obj_X | |
col_res | |
col_X | |
congr | |
d'_comp_d' | |
d_comp_d | |
d'_d | |
d'_d' | |
d_d | |
h_truncate_zero | |
one_le_K₀ | |
row_map_app_f | |
row_X | |
d'_zero_one | |
d_π | |
truncate_map_app_f_f | |
truncate_obj_map_f_f | |
truncate_obj_obj_d_f | |
truncate_obj_obj_X_d | |
truncate_obj_obj_X_X | |
res_π | |
extract_facts | |
asyncI | |
fact_arith | |
prove_goal_asyncI | |
aux_y | |
bdd_floor | |
eventually_antitone | |
eventually_le | |
eventually_le_one | |
eventually_pos_floor | |
eventually_pos_y | |
exists_limit_y | |
finite_sum | |
finite_sum' | |
has_sum_x | |
limit_neg_geometric | |
limit_y | |
summable_floor | |
summable_nnnorm | |
summable_norm | |
summable_ϑ_section | |
y | |
ϑ' | |
ϑ₀ | |
ϑ_eq_ϑ' | |
ϑ_section | |
ϑ_surjective | |
thm94 | |
thm94_weak | |
thm94_weak' | |
thm95 | |
Cech_nerve_level_hom_left | |
Cech_nerve_level_hom'_right | |
Cech_nerve_level_hom_right | |
Cech_nerve_level_inv'_left | |
Cech_nerve_level_inv'_right | |
Cech_nerve_level_left_map | |
Cech_nerve_level_map | |
Cech_nerve_level_obj | |
CLCFP'_map_app | |
CLCFP'_obj_map | |
col_complex_aux_d | |
col_complex_aux_X | |
col_complex_level_map | |
col_complex_level_obj | |
col_complex_level_obj_d | |
col_complex_map | |
col_complex_obj | |
col_complex_obj_d | |
col_complex_obj_iso_X_zero | |
col_complex_rescaled_map | |
col_complex_rescaled_obj | |
double_complex_aux_d | |
double_complex_aux_rescaled_d | |
double_complex_aux_rescaled_X | |
double_complex_aux_X | |
col'_aux_map | |
col'_aux_obj | |
col_iso_hom_app_f | |
col_iso_inv_app_f | |
col'_map | |
col'_obj | |
col_obj_X_zero | |
double_complex'_map | |
double_complex_map | |
double_complex'_obj | |
double_complex_obj | |
FLC_complex_arrow_left | |
FLC_complex_arrow_right | |
fstₐ_left | |
fstₐ_right | |
snd_apply | |
ι_apply_coe | |
FLC_complex_map | |
FLC_complex_obj | |
sum_hom₀_apply | |
sum_homₐ_hom | |
sum_homₐ_left | |
sum_homₐ_right | |
profinite | |
rescale_functor' | |
additive | |
rescale_nat_trans' | |
scale' | |
scale'_app | |
scale_factorial_map | |
scale_factorial_obj | |
to_rescale' | |
fact_κ'_le_k' | |
K₀ | |
N₂_spec' | |
one_le_K | |
Tinv_nat_trans_comp_assoc | |
indicator | |
indicator_apply | |
indicator_continuous | |
indicator_LC | |
indicator_LC_apply | |
indicator_one_inverse_image | |
singleton | |
Top_to_Condensed_map_val | |
Top_to_Condensed_obj | |
tsum_abs_eq_coe_tsum_nnabs | |
two_mul_lt_two | |
two_step_resolution | |
two_step_resolution_ab | |
two_step_resolution_ab_d | |
two_step_resolution_ab_projective | |
two_step_resolution_ab_X | |
two_step_resolution_d | |
two_step_resolution_hom | |
two_step_resolution_hom_ab | |
two_step_resolution_projective_pid | |
two_step_resolution_X | |
topological_space | |
up_down_up_eq | |
up_two_index_down_one | |
up_two_set_down_one | |
bdd | |
bdd_comap | |
bdd_iff_indexed_parition | |
bdd_LC | |
bdd_LC_comap | |
comap | |
θ_ϕ_exact | |
ϕ_apply | |
ϕ_natural |
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