Documentation Verification Report

Restriction

📁 Source: ClassFieldTheory/Cohomology/Functors/Restriction.lean

Statistics

MetricCount
DefinitionsindResAdjunction', res, resCoindAdjunction', resEquiv, «term_↓_», resSubtypeRangeIso, rest, resSubtypeRangeIso
8
Theoremscoe_res_obj_ρ', full_res, indResAdjunction'_counit_app_hom_hom, indResAdjunction'_unit_app_hom_hom, instAdditiveRes, instFaithfulRes, instIsLeftAdjointRes, instIsRightAdjointRes, instLinearRes, instPreservesProjectiveObjectsSubtypeMemSubgroupResSubtype, isZero_iff, isZero_res_iff, norm_hom_res, resCoindAdjunction'_counit_app_hom_hom, resCoindAdjunction'_unit_app_hom_hom, resEquiv_functor, resEquiv_inverse, res_map_ShortComplex_Exact, res_map_hom, res_obj_V, res_obj_ρ', shortExact_res, rest_app, rest_comp, rest_id, rest_δ_naturality
26
Total34

Rep

Definitions

NameCategoryTheorems
indResAdjunction' 📖CompOp
2 mathmath: indResAdjunction'_counit_app_hom_hom, indResAdjunction'_unit_app_hom_hom
res 📖CompOp
70 mathmath: groupCohomology.cores₁_naturality, res_quotientToInvariantsFunctor'_ι_hom_hom_apply, shortExact_res, groupCohomology.cores_succ_naturality, resCoindAdjunction'_unit_app_hom_hom, split.TateTheorem_lemma_3, instLinearRes, full_res, TrivialHomology.res, split.FiniteClassFormation.isZero_H1, TrivialHomology.isZero, groupCohomology.cores_res₀, leftRegular.zeroι_res_norm, split.TateTheorem_lemma_4, resCoindAdjunction'_counit_app_hom_hom, split.FiniteClassFormation.hypothesis₂', cores₀_obj_apply_coe, aug.aug_isShortExact', groupCohomology.rest_comp, groupCohomology.injects_to_sylowCoh, groupCohomology.commSqₙ, aug.cohomology_aug_succ_iso', dimensionShift.isIso_δ_down_res, isZero_res_iff, TrivialCohomology.res_subtype, res_map_ShortComplex_Exact, TrivialTateCohomology.isZero, instFaithfulRes, dimensionShift.isIso_δ_up_res, instIsLeftAdjointRes, groupCohomology.cores_res, indResAdjunction'_counit_app_hom_hom, leftRegular.H0Iso_res_norm, trivialCohomology_iff_res, isZero_of_injective, trivialHomology_iff_res, groupCohomology.cores₀_app, leftRegular.res_span_norm, groupCohomology.rest_app, dimensionShift.epi_δ_down_res_zero, coe_res_obj_ρ', groupCohomology.commSq_cores₁, herbrandQuotient_isNonarchimedeanLocalField_units, indResAdjunction'_unit_app_hom_hom, TrivialCohomology.res, leftRegular.groupCoh_map_res_norm, dimensionShift.epi_δ_up_zero_res, TrivialHomology.of_injective, split.FiniteClassFormation.hypothesis₂, groupCohomology.rest_δ_naturality, TrivialTateCohomology.of_injective, dimensionShift.shortExact_downSES_res, split.res_isShortExact, instPreservesProjectiveObjectsSubtypeMemSubgroupResSubtype, instIsRightAdjointRes, res_obj_ρ', resEquiv_functor, groupCohomology.map_H0Iso_hom_f_apply', dimensionShift.shortExact_upSES_res, instAdditiveRes, TrivialHomology.res_subtype, res_map_hom, TrivialCohomology.isZero, groupCohomology.commSq_cores₁_assoc, split.TateTheorem_lemma_1, res_obj_V, leftRegular.res_span_norm', norm_hom_res, resEquiv_inverse, split.TateTheorem_lemma_2
resCoindAdjunction' 📖CompOp
2 mathmath: resCoindAdjunction'_unit_app_hom_hom, resCoindAdjunction'_counit_app_hom_hom
resEquiv 📖CompOp
2 mathmath: resEquiv_functor, resEquiv_inverse
«term_↓_» 📖CompOp

Theorems

NameKindAssumesProvesValidatesDepends On
coe_res_obj_ρ' 📖mathematicalres
full_res 📖mathematicalres
indResAdjunction'_counit_app_hom_hom 📖mathematicalres
indResAdjunction'
indResAdjunction'_unit_app_hom_hom 📖mathematicalres
indResAdjunction'
instAdditiveRes 📖mathematicalres
instFaithfulRes 📖mathematicalres
instIsLeftAdjointRes 📖mathematicalres
instIsRightAdjointRes 📖mathematicalres
instLinearRes 📖mathematicalres
instPreservesProjectiveObjectsSubtypeMemSubgroupResSubtype 📖mathematicalres
isZero_iff 📖
isZero_res_iff 📖mathematicalresisZero_iff
res_obj_V
norm_hom_res 📖mathematicalres
resCoindAdjunction'_counit_app_hom_hom 📖mathematicalres
resCoindAdjunction'
resCoindAdjunction'_unit_app_hom_hom 📖mathematicalres
resCoindAdjunction'
resEquiv_functor 📖mathematicalresEquiv
res
resEquiv_inverse 📖mathematicalresEquiv
res
res_map_ShortComplex_Exact 📖mathematicalres
instAdditiveRes
instAdditiveRes
instIsRightAdjointRes
instIsLeftAdjointRes
instFaithfulRes
res_map_hom 📖mathematicalres
res_obj_V 📖mathematicalres
res_obj_ρ' 📖mathematicalres
shortExact_res 📖mathematicalres
instAdditiveRes
instAdditiveRes
instIsRightAdjointRes
instIsLeftAdjointRes
instFaithfulRes

groupCohomology

Definitions

NameCategoryTheorems
resSubtypeRangeIso 📖CompOp
rest 📖CompOp
7 mathmath: cores_res₀, rest_comp, commSqₙ, cores_res, rest_app, rest_δ_naturality, rest_id

Theorems

NameKindAssumesProvesValidatesDepends On
rest_app 📖mathematicalRep.res
rest
rest_comp 📖mathematicalrest
Rep.res
rest_app
rest_id 📖mathematicalrestrest_app
rest_δ_naturality 📖mathematicalRep.res
rest
Rep.instAdditiveRes
Rep.shortExact_res
Rep.instAdditiveRes
Rep.shortExact_res

groupHomology

Definitions

NameCategoryTheorems
resSubtypeRangeIso 📖CompOp

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