Theorems · Theorem · group theory

Representation.Coinvariants.hom_ext

∀ {k : Type u_1} {G : Type u_2} {V : Type u_3} {W : Type u_4} [inst : CommRing k] [inst_1 : Monoid G]
  [inst_2 : AddCommGroup V] [inst_3 : Module k V] [inst_4 : AddCommGroup W] [inst_5 : Module k W]
  {ρ : Representation k G V} {f g : ρ.Coinvariants →ₗ[k] W},
  f ∘ₗ Representation.Coinvariants.mk ρ = g ∘ₗ Representation.Coinvariants.mk ρ → f = g

Defined in

Mathlib.RepresentationTheory.Coinvariants

Cited by

5 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingMonoidAddCommGroupModuleAddCommGroupModule