Theorems · Theorem · group theory

Rep.indToCoindAux_of_not_rel

∀ {k : Type u} {G : Type v} [inst : CommRing k] [inst_1 : Group G] {S : Subgroup G}
  [inst_2 : DecidableRel ⇑(QuotientGroup.rightRel S)] {A : Rep.{w, u, v} k ↥S} (g g₁ : G) (a : ↑A),
  ¬(QuotientGroup.rightRel S) g₁ g → (A.indToCoindAux g) a g₁ = 0

Defined in

Mathlib.RepresentationTheory.FiniteIndex

Cited by

6 results in Mathlib

Foundations

Depth 69 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroupDecidableRel