Theorems · Theorem · group theory

Rep.indCoindNatIso_hom_app

∀ (k : Type u) {G : Type v} [inst : CommRing k] [inst_1 : Group G] (S : Subgroup G)
  [inst_2 : DecidableRel ⇑(QuotientGroup.rightRel S)] [inst_3 : S.FiniteIndex] (X : Rep.{max u w, u, v} k ↥S),
  (Rep.indCoindNatIso k S).hom.app X = X.indCoindIso.hom

Defined in: Mathlib.RepresentationTheory.FiniteIndex
Cited by: 0 results in Mathlib
Foundations: Depth 109 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: CommRing Group DecidableRel Subgroup.FiniteIndex

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Quiver.Homstatement · cited by 32,603
CategoryTheory.Functor.objstatement · cited by 19,642
CommRingstatement and proof · cited by 17,173
CategoryTheory.Functorstatement · cited by 16,252
CategoryTheory.Iso.homstatement and proof · cited by 7,684
CategoryTheory.NatTrans.appstatement and proof · cited by 7,406
Groupstatement and proof · cited by 6,238
Subgroupstatement and proof · cited by 3,593
Repstatement and proof · cited by 843
Subgroup.subtypestatement · cited by 185
Subgroup.FiniteIndexstatement and proof · cited by 113
QuotientGroup.rightRelstatement · cited by 44

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