Theorems · Theorem · group theory

Rep.resIndAdjunction_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] (B : Rep.{max w u v, u, v} k G),
  (Rep.resIndAdjunction k S).unit.app B =
    CategoryTheory.CategoryStruct.comp ((Rep.resCoindAdjunction k S.subtype).unit.app B)
      (Rep.res S.subtype B).indCoindIso.inv

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