Documentation Verification Report

Modules

7583 modules

ModuleDefinitionsTheoremsSorry
Counterexamples/Pseudoelement.lean 1 0
Counterexamples/QuadraticForm.lean 1 0
Mathlib/Algebra/AddConstMap/Basic.lean 20 67
Mathlib/Algebra/AddConstMap/Equiv.lean 18 26
Mathlib/Algebra/AddTorsor/Basic.lean 3 30
Mathlib/Algebra/AddTorsor/Defs.lean 7 34
Mathlib/Algebra/AffineMonoid/Basic.lean 2 6
Mathlib/Algebra/AffineMonoid/Embedding.lean 2 1
Mathlib/Algebra/AffineMonoid/Irreducible.lean 0 10
Mathlib/Algebra/AffineMonoid/UniqueSums.lean 0 2
Mathlib/Algebra/Algebra/Basic.lean 15 66
Mathlib/Algebra/Algebra/Bilinear.lean 7 20
Mathlib/Algebra/Algebra/Defs.lean 15 42
Mathlib/Algebra/Algebra/Epi.lean 2 10
Mathlib/Algebra/Algebra/Equiv.lean 43 148
Mathlib/Algebra/Algebra/Field.lean 0 4
Mathlib/Algebra/Algebra/Hom.lean 26 80
Mathlib/Algebra/Algebra/Hom/Rat.lean 2 5
Mathlib/Algebra/Algebra/IsSimpleRing.lean 1 1
Mathlib/Algebra/Algebra/NonUnitalHom.lean 31 59
Mathlib/Algebra/Algebra/NonUnitalSubalgebra.lean 45 158
Mathlib/Algebra/Algebra/Operations.lean 16 124
Mathlib/Algebra/Algebra/Opposite.lean 13 36
Mathlib/Algebra/Algebra/Pi.lean 13 22
Mathlib/Algebra/Algebra/Prod.lean 9 17
Mathlib/Algebra/Algebra/Rat.lean 2 9
Mathlib/Algebra/Algebra/RestrictScalars.lean 13 9
Mathlib/Algebra/Algebra/Shrink.lean 2 2
Mathlib/Algebra/Algebra/Spectrum/Basic.lean 4 62
Mathlib/Algebra/Algebra/Spectrum/Pi.lean 2 7
Mathlib/Algebra/Algebra/Spectrum/Quasispectrum.lean 14 74
Mathlib/Algebra/Algebra/StrictPositivity.lean 1 11
Mathlib/Algebra/Algebra/Subalgebra/Basic.lean 52 168
Mathlib/Algebra/Algebra/Subalgebra/Centralizer.lean 0 11
Mathlib/Algebra/Algebra/Subalgebra/Directed.lean 1 5
Mathlib/Algebra/Algebra/Subalgebra/IsSimpleOrder.lean 1 1
Mathlib/Algebra/Algebra/Subalgebra/Lattice.lean 16 128
Mathlib/Algebra/Algebra/Subalgebra/Matrix.lean 0 1
Mathlib/Algebra/Algebra/Subalgebra/MulOpposite.lean 6 40
Mathlib/Algebra/Algebra/Subalgebra/Operations.lean 2 3
Mathlib/Algebra/Algebra/Subalgebra/Order.lean 0 2
Mathlib/Algebra/Algebra/Subalgebra/Pi.lean 1 6
Mathlib/Algebra/Algebra/Subalgebra/Pointwise.lean 1 9
Mathlib/Algebra/Algebra/Subalgebra/Prod.lean 1 6
Mathlib/Algebra/Algebra/Subalgebra/Rank.lean 0 6
Mathlib/Algebra/Algebra/Subalgebra/Tower.lean 2 10
Mathlib/Algebra/Algebra/Subalgebra/Unitization.lean 6 18
Mathlib/Algebra/Algebra/Tower.lean 6 44
Mathlib/Algebra/Algebra/TransferInstance.lean 2 3
Mathlib/Algebra/Algebra/Unitization.lean 46 94
Mathlib/Algebra/Algebra/ZMod.lean 3 3
Mathlib/Algebra/AlgebraicCard.lean 0 10
Mathlib/Algebra/Azumaya/Basic.lean 1 6
Mathlib/Algebra/Azumaya/Defs.lean 3 5
Mathlib/Algebra/Azumaya/Matrix.lean 1 2
Mathlib/Algebra/BigOperators/Associated.lean 0 20
Mathlib/Algebra/BigOperators/Balance.lean 1 9
Mathlib/Algebra/BigOperators/Expect.lean 3 60
Mathlib/Algebra/BigOperators/Field.lean 0 7
Mathlib/Algebra/BigOperators/Fin.lean 5 162
Mathlib/Algebra/BigOperators/Finprod.lean 4 274
Mathlib/Algebra/BigOperators/Finsupp/Basic.lean 3 124
Mathlib/Algebra/BigOperators/Finsupp/Fin.lean 1 6
Mathlib/Algebra/BigOperators/Group/Finset/Basic.lean 0 279
Mathlib/Algebra/BigOperators/Group/Finset/Defs.lean 15 123
Mathlib/Algebra/BigOperators/Group/Finset/Gaps.lean 0 6
Mathlib/Algebra/BigOperators/Group/Finset/Indicator.lean 0 14
Mathlib/Algebra/BigOperators/Group/Finset/Interval.lean 0 8
Mathlib/Algebra/BigOperators/Group/Finset/Lemmas.lean 0 8
Mathlib/Algebra/BigOperators/Group/Finset/Pi.lean 0 2
Mathlib/Algebra/BigOperators/Group/Finset/Piecewise.lean 0 80
Mathlib/Algebra/BigOperators/Group/Finset/Powerset.lean 0 8
Mathlib/Algebra/BigOperators/Group/Finset/Preimage.lean 0 6
Mathlib/Algebra/BigOperators/Group/Finset/Sigma.lean 0 27
Mathlib/Algebra/BigOperators/Group/List/Basic.lean 0 118
Mathlib/Algebra/BigOperators/Group/List/Defs.lean 2 12
Mathlib/Algebra/BigOperators/Group/List/Lemmas.lean 0 24
Mathlib/Algebra/BigOperators/Group/Multiset/Basic.lean 1 63
Mathlib/Algebra/BigOperators/Group/Multiset/Defs.lean 2 30
Mathlib/Algebra/BigOperators/GroupWithZero/Action.lean 0 16
Mathlib/Algebra/BigOperators/GroupWithZero/Finset.lean 0 11
Mathlib/Algebra/BigOperators/Intervals.lean 0 49
Mathlib/Algebra/BigOperators/ModEq.lean 0 40
Mathlib/Algebra/BigOperators/Module.lean 0 3
Mathlib/Algebra/BigOperators/NatAntidiagonal.lean 0 12
Mathlib/Algebra/BigOperators/Option.lean 0 6
Mathlib/Algebra/BigOperators/Pi.lean 2 38
Mathlib/Algebra/BigOperators/Ring/Finset.lean 0 47
Mathlib/Algebra/BigOperators/Ring/List.lean 0 10
Mathlib/Algebra/BigOperators/Ring/Multiset.lean 0 11
Mathlib/Algebra/BigOperators/Ring/Nat.lean 0 3
Mathlib/Algebra/BigOperators/RingEquiv.lean 1 7
Mathlib/Algebra/BigOperators/Sym.lean 0 2
Mathlib/Algebra/BigOperators/WithTop.lean 0 16
Mathlib/Algebra/BrauerGroup/Defs.lean 6 6
Mathlib/Algebra/Category/AlgCat/Basic.lean 22 30
Mathlib/Algebra/Category/AlgCat/Limits.lean 10 9
Mathlib/Algebra/Category/AlgCat/Monoidal.lean 4 10
Mathlib/Algebra/Category/AlgCat/Symmetric.lean 3 0
Mathlib/Algebra/Category/BialgCat/Basic.lean 15 26
Mathlib/Algebra/Category/BialgCat/Monoidal.lean 5 10
Mathlib/Algebra/Category/BoolRing.lean 17 13
Mathlib/Algebra/Category/CoalgCat/Basic.lean 13 22
Mathlib/Algebra/Category/CoalgCat/ComonEquivalence.lean 8 22
Mathlib/Algebra/Category/CoalgCat/Monoidal.lean 3 16
Mathlib/Algebra/Category/CommAlgCat/Basic.lean 23 39
Mathlib/Algebra/Category/CommAlgCat/FiniteType.lean 9 6
Mathlib/Algebra/Category/CommAlgCat/Monoidal.lean 6 17
Mathlib/Algebra/Category/CommBialgCat.lean 23 42
Mathlib/Algebra/Category/ContinuousCohomology/Basic.lean 11 16
Mathlib/Algebra/Category/FGModuleCat/Abelian.lean 1 1
Mathlib/Algebra/Category/FGModuleCat/Basic.lean 19 35
Mathlib/Algebra/Category/FGModuleCat/Colimits.lean 2 5
Mathlib/Algebra/Category/FGModuleCat/EssentiallySmall.lean 12 4
Mathlib/Algebra/Category/FGModuleCat/Limits.lean 2 5
Mathlib/Algebra/Category/Grp/AB.lean 0 8
Mathlib/Algebra/Category/Grp/Abelian.lean 3 0
Mathlib/Algebra/Category/Grp/Adjunctions.lean 10 14
Mathlib/Algebra/Category/Grp/Basic.lean 92 134
Mathlib/Algebra/Category/Grp/Biproducts.lean 4 18
Mathlib/Algebra/Category/Grp/CartesianMonoidal.lean 16 14
Mathlib/Algebra/Category/Grp/Colimits.lean 11 18
Mathlib/Algebra/Category/Grp/EnoughInjectives.lean 0 2
Mathlib/Algebra/Category/Grp/EpiMono.lean 6 53
Mathlib/Algebra/Category/Grp/EquivalenceGroupAddGroup.lean 6 16
Mathlib/Algebra/Category/Grp/FilteredColimits.lean 26 20
Mathlib/Algebra/Category/Grp/FiniteGrp.lean 16 6
Mathlib/Algebra/Category/Grp/ForgetCorepresentable.lean 6 8
Mathlib/Algebra/Category/Grp/Images.lean 6 3
Mathlib/Algebra/Category/Grp/Injective.lean 0 3
Mathlib/Algebra/Category/Grp/IsFinite.lean 6 2
Mathlib/Algebra/Category/Grp/Kernels.lean 4 0
Mathlib/Algebra/Category/Grp/LargeColimits.lean 0 2
Mathlib/Algebra/Category/Grp/LeftExactFunctor.lean 6 1
Mathlib/Algebra/Category/Grp/Limits.lean 42 54
Mathlib/Algebra/Category/Grp/Preadditive.lean 9 9
Mathlib/Algebra/Category/Grp/Subobject.lean 0 1
Mathlib/Algebra/Category/Grp/Ulift.lean 9 22
Mathlib/Algebra/Category/Grp/Yoneda.lean 6 16
Mathlib/Algebra/Category/Grp/ZModuleEquivalence.lean 0 3
Mathlib/Algebra/Category/Grp/Zero.lean 0 16
Mathlib/Algebra/Category/GrpWithZero.lean 11 7
Mathlib/Algebra/Category/HopfAlgCat/Basic.lean 14 21
Mathlib/Algebra/Category/HopfAlgCat/Monoidal.lean 4 14
Mathlib/Algebra/Category/ModuleCat/AB.lean 0 6
Mathlib/Algebra/Category/ModuleCat/Abelian.lean 3 5
Mathlib/Algebra/Category/ModuleCat/Adjunctions.lean 16 24
Mathlib/Algebra/Category/ModuleCat/Algebra.lean 2 1
Mathlib/Algebra/Category/ModuleCat/Basic.lean 45 70
Mathlib/Algebra/Category/ModuleCat/Biproducts.lean 6 18
Mathlib/Algebra/Category/ModuleCat/ChangeOfRings.lean 43 74
Mathlib/Algebra/Category/ModuleCat/Colimits.lean 5 16
Mathlib/Algebra/Category/ModuleCat/Descent.lean 1 3
Mathlib/Algebra/Category/ModuleCat/Differentials/Basic.lean 7 7
Mathlib/Algebra/Category/ModuleCat/Differentials/Presheaf.lean 12 19
Mathlib/Algebra/Category/ModuleCat/EnoughInjectives.lean 0 3
Mathlib/Algebra/Category/ModuleCat/EpiMono.lean 1 10
Mathlib/Algebra/Category/ModuleCat/Ext/DimensionShifting.lean 1 4
Mathlib/Algebra/Category/ModuleCat/Ext/Finite.lean 0 1
Mathlib/Algebra/Category/ModuleCat/Ext/HasExt.lean 0 1
Mathlib/Algebra/Category/ModuleCat/ExteriorPower.lean 12 15
Mathlib/Algebra/Category/ModuleCat/FilteredColimits.lean 11 13
Mathlib/Algebra/Category/ModuleCat/Free.lean 1 8
Mathlib/Algebra/Category/ModuleCat/Images.lean 6 9
Mathlib/Algebra/Category/ModuleCat/Injective.lean 0 4
Mathlib/Algebra/Category/ModuleCat/Kernels.lean 8 11
Mathlib/Algebra/Category/ModuleCat/LeftResolution.lean 3 1
Mathlib/Algebra/Category/ModuleCat/Limits.lean 15 23
Mathlib/Algebra/Category/ModuleCat/Localization.lean 5 10
Mathlib/Algebra/Category/ModuleCat/Monoidal/Basic.lean 15 78
Mathlib/Algebra/Category/ModuleCat/Monoidal/Closed.lean 2 6
Mathlib/Algebra/Category/ModuleCat/Monoidal/Symmetric.lean 5 13
Mathlib/Algebra/Category/ModuleCat/Presheaf.lean 30 53
Mathlib/Algebra/Category/ModuleCat/Presheaf/Abelian.lean 1 2
Mathlib/Algebra/Category/ModuleCat/Presheaf/ChangeOfRings.lean 3 7
Mathlib/Algebra/Category/ModuleCat/Presheaf/Colimits.lean 4 17
Mathlib/Algebra/Category/ModuleCat/Presheaf/EpiMono.lean 0 8
Mathlib/Algebra/Category/ModuleCat/Presheaf/Free.lean 6 9
Mathlib/Algebra/Category/ModuleCat/Presheaf/Generator.lean 12 14
Mathlib/Algebra/Category/ModuleCat/Presheaf/Limits.lean 4 17
Mathlib/Algebra/Category/ModuleCat/Presheaf/Monoidal.lean 6 3
Mathlib/Algebra/Category/ModuleCat/Presheaf/Pullback.lean 6 8
Mathlib/Algebra/Category/ModuleCat/Presheaf/Pushforward.lean 7 12
Mathlib/Algebra/Category/ModuleCat/Presheaf/Sheafification.lean 5 12
Mathlib/Algebra/Category/ModuleCat/Presheaf/Sheafify.lean 12 21
Mathlib/Algebra/Category/ModuleCat/Products.lean 6 8
Mathlib/Algebra/Category/ModuleCat/Projective.lean 0 5
Mathlib/Algebra/Category/ModuleCat/Pseudofunctor.lean 3 12
Mathlib/Algebra/Category/ModuleCat/Semi.lean 31 56
Mathlib/Algebra/Category/ModuleCat/Sheaf.lean 20 32
Mathlib/Algebra/Category/ModuleCat/Sheaf/Abelian.lean 1 0
Mathlib/Algebra/Category/ModuleCat/Sheaf/ChangeOfRings.lean 2 3
Mathlib/Algebra/Category/ModuleCat/Sheaf/Colimits.lean 0 2
Mathlib/Algebra/Category/ModuleCat/Sheaf/Free.lean 9 14
Mathlib/Algebra/Category/ModuleCat/Sheaf/Generators.lean 15 10
Mathlib/Algebra/Category/ModuleCat/Sheaf/Limits.lean 1 15
Mathlib/Algebra/Category/ModuleCat/Sheaf/PullbackContinuous.lean 7 9
Mathlib/Algebra/Category/ModuleCat/Sheaf/PullbackFree.lean 5 11
Mathlib/Algebra/Category/ModuleCat/Sheaf/PushforwardContinuous.lean 11 21
Mathlib/Algebra/Category/ModuleCat/Sheaf/Quasicoherent.lean 24 33
Mathlib/Algebra/Category/ModuleCat/Simple.lean 0 5
Mathlib/Algebra/Category/ModuleCat/Stalk.lean 4 3
Mathlib/Algebra/Category/ModuleCat/Subobject.lean 2 3
Mathlib/Algebra/Category/ModuleCat/Tannaka.lean 1 1
Mathlib/Algebra/Category/ModuleCat/Topology/Basic.lean 35 38
Mathlib/Algebra/Category/ModuleCat/Topology/Homology.lean 6 8
Mathlib/Algebra/Category/ModuleCat/Ulift.lean 3 14
Mathlib/Algebra/Category/MonCat/Adjunctions.lean 12 10
Mathlib/Algebra/Category/MonCat/Basic.lean 72 134
Mathlib/Algebra/Category/MonCat/Colimits.lean 13 5
Mathlib/Algebra/Category/MonCat/FilteredColimits.lean 30 24
Mathlib/Algebra/Category/MonCat/ForgetCorepresentable.lean 6 8
Mathlib/Algebra/Category/MonCat/Limits.lean 40 34
Mathlib/Algebra/Category/MonCat/Yoneda.lean 6 16
Mathlib/Algebra/Category/Ring/Adjunctions.lean 8 13
Mathlib/Algebra/Category/Ring/Basic.lean 70 104
Mathlib/Algebra/Category/Ring/Colimits.lean 36 16
Mathlib/Algebra/Category/Ring/Constructions.lean 19 20
Mathlib/Algebra/Category/Ring/Epi.lean 0 4
Mathlib/Algebra/Category/Ring/FilteredColimits.lean 23 14
Mathlib/Algebra/Category/Ring/FinitePresentation.lean 0 9
Mathlib/Algebra/Category/Ring/Instances.lean 0 8
Mathlib/Algebra/Category/Ring/Limits.lean 28 38
Mathlib/Algebra/Category/Ring/LinearAlgebra.lean 0 1
Mathlib/Algebra/Category/Ring/Topology.lean 3 15
Mathlib/Algebra/Category/Ring/Under/Basic.lean 9 18
Mathlib/Algebra/Category/Ring/Under/Limits.lean 14 11
Mathlib/Algebra/Category/Semigrp/Basic.lean 59 101
Mathlib/Algebra/Central/Basic.lean 0 6
Mathlib/Algebra/Central/Defs.lean 1 1
Mathlib/Algebra/Central/End.lean 0 5
Mathlib/Algebra/Central/Matrix.lean 0 1
Mathlib/Algebra/Central/TensorProduct.lean 0 6
Mathlib/Algebra/CharP/Algebra.lean 0 27
Mathlib/Algebra/CharP/Basic.lean 0 24
Mathlib/Algebra/CharP/CharAndCard.lean 0 6
Mathlib/Algebra/CharP/Defs.lean 3 57
Mathlib/Algebra/CharP/Frobenius.lean 2 32
Mathlib/Algebra/CharP/IntermediateField.lean 0 5
Mathlib/Algebra/CharP/Invertible.lean 7 9
Mathlib/Algebra/CharP/Lemmas.lean 2 51
Mathlib/Algebra/CharP/LinearMaps.lean 0 3
Mathlib/Algebra/CharP/LocalRing.lean 0 1
Mathlib/Algebra/CharP/MixedCharZero.lean 4 17
Mathlib/Algebra/CharP/Pi.lean 0 2
Mathlib/Algebra/CharP/Quotient.lean 0 7
Mathlib/Algebra/CharP/Reduced.lean 0 4
Mathlib/Algebra/CharP/Subring.lean 0 5
Mathlib/Algebra/CharP/Two.lean 0 26
Mathlib/Algebra/CharZero/AddMonoidHom.lean 1 1
Mathlib/Algebra/CharZero/Defs.lean 0 17
Mathlib/Algebra/CharZero/Infinite.lean 0 1
Mathlib/Algebra/CharZero/Quotient.lean 0 4
Mathlib/Algebra/Colimit/DirectLimit.lean 63 33
Mathlib/Algebra/Colimit/Finiteness.lean 2 3
Mathlib/Algebra/Colimit/Module.lean 15 37
Mathlib/Algebra/Colimit/Ring.lean 7 24
Mathlib/Algebra/Colimit/TensorProduct.lean 0 1
Mathlib/Algebra/ContinuedFractions/Basic.lean 42 4
Mathlib/Algebra/ContinuedFractions/Computation/ApproximationCorollaries.lean 0 4
Mathlib/Algebra/ContinuedFractions/Computation/Approximations.lean 2 21
Mathlib/Algebra/ContinuedFractions/Computation/Basic.lean 11 2
Mathlib/Algebra/ContinuedFractions/Computation/CorrectnessTerminating.lean 1 6
Mathlib/Algebra/ContinuedFractions/Computation/TerminatesIffRat.lean 0 20
Mathlib/Algebra/ContinuedFractions/Computation/Translations.lean 0 24
Mathlib/Algebra/ContinuedFractions/ContinuantsRecurrence.lean 0 5
Mathlib/Algebra/ContinuedFractions/ConvergentsEquiv.lean 2 12
Mathlib/Algebra/ContinuedFractions/Determinant.lean 0 2
Mathlib/Algebra/ContinuedFractions/TerminatedStable.lean 0 10
Mathlib/Algebra/ContinuedFractions/Translations.lean 0 31
Mathlib/Algebra/CubicDiscriminant.lean 13 98
Mathlib/Algebra/DirectSum/AddChar.lean 1 2
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Mathlib/Algebra/DirectSum/Decomposition.lean 10 32
Mathlib/Algebra/DirectSum/Finsupp.lean 1 4
Mathlib/Algebra/DirectSum/Idempotents.lean 1 3
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Mathlib/Algebra/DirectSum/LinearMap.lean 0 8
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Mathlib/Algebra/Divisibility/Basic.lean 3 42
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Mathlib/Algebra/DualNumber.lean 4 22
Mathlib/Algebra/DualQuaternion.lean 1 16
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Mathlib/Algebra/EuclideanDomain/Int.lean 1 0
Mathlib/Algebra/Exact.lean 4 64
Mathlib/Algebra/Expr.lean 4 0
Mathlib/Algebra/Field/Action/ConjAct.lean 1 0
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Mathlib/Algebra/Field/Equiv.lean 0 2
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Mathlib/Algebra/Field/Rat.lean 6 10
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Mathlib/Algebra/Field/ULift.lean 5 4
Mathlib/Algebra/Field/ZMod.lean 1 1
Mathlib/Algebra/FiveLemma.lean 0 21
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Mathlib/Algebra/Group/Action/TypeTags.lean 4 6
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Mathlib/Algebra/Group/AddChar.lean 20 87
Mathlib/Algebra/Group/Basic.lean 4 437
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Mathlib/Algebra/Group/ConjFinite.lean 4 1
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Mathlib/Algebra/Group/Equiv/Finite.lean 2 0
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Mathlib/Algebra/Group/EvenFunction.lean 0 22
Mathlib/Algebra/Group/Ext.lean 0 50
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Mathlib/Algebra/Group/Fin/Tuple.lean 0 32
Mathlib/Algebra/Group/Finsupp.lean 20 75
Mathlib/Algebra/Group/ForwardDiff.lean 4 28
Mathlib/Algebra/Group/Graph.lean 4 30
Mathlib/Algebra/Group/Hom/Basic.lean 26 60
Mathlib/Algebra/Group/Hom/CompTypeclasses.lean 2 11
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Mathlib/Algebra/Group/Hom/End.lean 3 2
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Mathlib/Algebra/Group/Ideal.lean 4 22
Mathlib/Algebra/Group/Idempotent.lean 2 14
Mathlib/Algebra/Group/Indicator.lean 2 52
Mathlib/Algebra/Group/InjSurj.lean 60 6
Mathlib/Algebra/Group/Int/Defs.lean 10 5
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Mathlib/Algebra/Group/Irreducible/Defs.lean 1 16
Mathlib/Algebra/Group/Irreducible/Indecomposable.lean 5 27
Mathlib/Algebra/Group/Irreducible/Lemmas.lean 0 21
Mathlib/Algebra/Group/MinimalAxioms.lean 4 0
Mathlib/Algebra/Group/ModEq.lean 1 68
Mathlib/Algebra/Group/Nat/Defs.lean 11 3
Mathlib/Algebra/Group/Nat/Even.lean 2 20
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Mathlib/Algebra/Group/Nat/TypeTags.lean 0 2
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Mathlib/Algebra/Group/NatPowAssoc.lean 1 16
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Mathlib/Algebra/Group/PNatPowAssoc.lean 1 11
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Mathlib/Algebra/Group/Pi/Basic.lean 40 33
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