Documentation Verification Report

Rep

📁 Source: ClassFieldTheory/Mathlib/RepresentationTheory/Rep.lean

Statistics

MetricCount
Definitionsof, ε, mkIso
3
Theoremsadd_apply, coe_hom, comp_apply, exists_kernelι_eq, forget₂_map, hom_apply, instLinearMapClassHomSubtypeModuleCatLinearMapIdCarrierOfMulActionV_classFieldTheory, eq_sum_smul_of, instAddMonoidHomClassHomSubtypeModuleCatLinearMapIdCarrierTrivialV_classFieldTheory, instMulActionHomClassHomSubtypeModuleCatLinearMapIdCarrierTrivialV_classFieldTheory, leftRegularHom_eq_ρReg, leftRegularHom_of, nontrivial_iff_nontrivial, of_apply, of_apply_eq_one, of_def, of_eq_ρ_of_one, ε_comp_ρ, ε_comp_ρ_apply, ε_epi, ε_eq_sum, ε_eq_sum', ε_of, ε_of_one, ρ_apply, ρ_apply_of, ρ_apply₃, ρ_apply₃_self_mul, ρ_comp_lsingle, leftRegularHomEquiv_symm_comp, mkIso_hom_hom, mkIso_inv_hom, of_ρ', richards, smul_apply, sub_apply, zero_apply, ρ_apply, ρ_mul_eq_comp, norm_ofIsTrivial, range_eq_span
41
Total44

Rep

Definitions

NameCategoryTheorems
mkIso 📖CompOp
2 mathmath: mkIso_inv_hom, mkIso_hom_hom

Theorems

NameKindAssumesProvesValidatesDepends On
add_apply 📖
coe_hom 📖
comp_apply 📖
exists_kernelι_eq 📖leftRegularHomEquiv_symm_comp
forget₂_map 📖
hom_apply 📖
instLinearMapClassHomSubtypeModuleCatLinearMapIdCarrierOfMulActionV_classFieldTheory 📖richards
leftRegularHomEquiv_symm_comp 📖hom_apply
comp_apply
mkIso_hom_hom 📖mathematicalmkIso
mkIso_inv_hom 📖mathematicalmkIso
of_ρ' 📖
richards 📖
smul_apply 📖
sub_apply 📖hom_apply
ModuleCat.Hom.hom.eq_1
zero_apply 📖
ρ_apply 📖
ρ_mul_eq_comp 📖

Rep.leftRegular

Definitions

NameCategoryTheorems
of 📖CompOp
14 mathmath: eq_sum_smul_of, zeroι_res_norm, leftRegularHom_eq_ρReg, zeroι_norm, ε_of_one, Rep.aug.exists_ofSubOfOne, leftRegularHom_of, of_apply_eq_one, Rep.aug.ofSubOfOne_spec, ρ_apply_of, of_eq_ρ_of_one, ε_of, of_def, of_apply
ε 📖CompOp
10 mathmath: Rep.aug.ε_apply_ι, ε_comp_ρ, Rep.aug.ε_comp_ι, ε_of_one, ε_comp_ρ_apply, ε_epi, ε_eq_sum', groupCoh_map_res_norm, ε_eq_sum, ε_of

Theorems

NameKindAssumesProvesValidatesDepends On
eq_sum_smul_of 📖mathematicalof
instAddMonoidHomClassHomSubtypeModuleCatLinearMapIdCarrierTrivialV_classFieldTheory 📖
instMulActionHomClassHomSubtypeModuleCatLinearMapIdCarrierTrivialV_classFieldTheory 📖
leftRegularHom_eq_ρReg 📖mathematicalof
leftRegularHom_of 📖mathematicalof
nontrivial_iff_nontrivial 📖
of_apply 📖mathematicalof
of_apply_eq_one 📖mathematicalofof_apply
of_def 📖mathematicalof
of_eq_ρ_of_one 📖mathematicalofρ_apply_of
ε_comp_ρ 📖mathematicalε
ε_comp_ρ_apply 📖mathematicalεε_comp_ρ
ε_epi 📖mathematicalεinstMulActionHomClassHomSubtypeModuleCatLinearMapIdCarrierTrivialV_classFieldTheory
ε_of_one
ε_eq_sum 📖mathematicalεε_eq_sum'
ε_eq_sum' 📖mathematicalεeq_sum_smul_of
ε_of
ε_of 📖mathematicalε
of
ρ_apply_of
ε_comp_ρ_apply
ε_of_one
ε_of_one 📖mathematicalε
of
leftRegularHom_of
ρ_apply 📖
ρ_apply_of 📖mathematicalofρ_apply₃
of_apply
ρ_apply₃ 📖ρ_apply₃_self_mul
ρ_apply₃_self_mul 📖
ρ_comp_lsingle 📖

Representation

Theorems

NameKindAssumesProvesValidatesDepends On
norm_ofIsTrivial 📖

(root)

Theorems

NameKindAssumesProvesValidatesDepends On
range_eq_span 📖

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