Theorems · Theorem · group theory

groupCohomology.H0IsoOfIsTrivial_inv_apply

∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] {A : Rep.{u, u, u} k G} [inst_2 : A.IsTrivial] (x : ↑A),
  (CategoryTheory.ConcreteCategory.hom (groupCohomology.H0IsoOfIsTrivial A).inv) x =
    (CategoryTheory.ConcreteCategory.hom (groupCohomology.H0Iso A).inv) ⟨x, ⋯⟩

Defined in: Mathlib.RepresentationTheory.Homological.GroupCohomology.LowDegree
Cited by: 0 results in Mathlib
Foundations: Depth 119 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Group Rep.IsTrivial

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DFunLike.coestatement · cited by 62,936
RingHom.idstatement · cited by 18,349
CommRingstatement and proof · cited by 17,173
LinearMapstatement · cited by 10,215
Submodulestatement · cited by 7,192
CategoryTheory.Iso.invstatement · cited by 6,514
Groupstatement and proof · cited by 6,238
CategoryTheory.ConcreteCategory.homstatement · cited by 4,022
ModuleCatstatement · cited by 1,429
ModuleCat.carrierstatement · cited by 997
Repstatement and proof · cited by 843
Rep.Vstatement and proof · cited by 695

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