Theorems · Theorem · group theory

Representation.IntertwiningMap.snd_prod

∀ {A : Type u_1} {G : Type u_2} {V : Type u_3} {W : Type u_4} {U : Type u_5} [inst : Semiring A] [inst_1 : Monoid G]
  [inst_2 : AddCommMonoid V] [inst_3 : AddCommMonoid W] [inst_4 : AddCommMonoid U] [inst_5 : Module A V]
  [inst_6 : Module A W] [inst_7 : Module A U] {ρ : Representation A G V} {σ : Representation A G W}
  {τ : Representation A G U} (f : ρ.IntertwiningMap σ) (g : ρ.IntertwiningMap τ),
  (Representation.IntertwiningMap.snd A σ τ).comp (f.prod g) = g

Defined in

Mathlib.RepresentationTheory.Intertwining

Cited by

0 results in Mathlib

Foundations

Depth 49 from the axioms · uses propext, Quot.sound

Assumes

SemiringMonoidAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModule