Theorems · Theorem · group theory

Representation.Coinvariants.lift_mk

∀ {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 : V →ₗ[k] W) (h : ∀ (x : G), f ∘ₗ ρ x = f) (x : V),
  (Representation.Coinvariants.lift ρ f h) ((Representation.Coinvariants.mk ρ) x) = f x

Defined in

Mathlib.RepresentationTheory.Coinvariants

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommRingMonoidAddCommGroupModuleAddCommGroupModule