Theorems · Theorem · group theory

Representation.IntertwiningMap.tensor_add_right

∀ {A : Type u_1} {G : Type u_2} {V : Type u_3} {W : Type u_4} {U : Type u_5} [inst : CommSemiring 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} {P : Type u_6} [inst_8 : AddCommMonoid P] [inst_9 : Module A P] {π : Representation A G P}
  (f : ρ.IntertwiningMap σ) (g₁ g₂ : τ.IntertwiningMap π), f.tensor (g₁ + g₂) = f.tensor g₁ + f.tensor g₂

Defined in

Mathlib.RepresentationTheory.Intertwining

Cited by

1 results in Mathlib

Foundations

Depth 71 from the axioms · uses propext, Quot.sound

Assumes

CommSemiringMonoidAddCommMonoidAddCommMonoidAddCommMonoidModuleModuleModuleAddCommMonoidModule