Theorems · Theorem · group theory

groupHomology.chainsMap_id_comp

∀ {k G : Type u} [inst : CommRing k] [inst_1 : Group G] {A B C : Rep.{u, u, u} k G} (φ : A ⟶ B) (ψ : B ⟶ C),
  groupHomology.chainsMap (MonoidHom.id G) (CategoryTheory.CategoryStruct.comp φ ψ) =
    CategoryTheory.CategoryStruct.comp (groupHomology.chainsMap (MonoidHom.id G) φ)
      (groupHomology.chainsMap (MonoidHom.id G) ψ)

Defined in

Mathlib.RepresentationTheory.Homological.GroupHomology.Functoriality

Cited by

2 results in Mathlib

Foundations

Depth 118 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommRingGroup