Theorems · Theorem · group theory

Rep.coindResAdjunction_unit_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] (A : Rep.{max w u v, u, v} k ↥S),
  (Rep.coindResAdjunction k S).unit.app A =
    CategoryTheory.CategoryStruct.comp ((Rep.indResAdjunction k S.subtype).unit.app A)
      ((Rep.resFunctor S.subtype).map A.indCoindIso.hom)

Defined in

Mathlib.RepresentationTheory.FiniteIndex

Cited by

0 results in Mathlib

Foundations

Depth 110 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroupDecidableRelSubgroup.FiniteIndex