Theorems · Theorem · group theory

Representation.smul_tprod_one_asModule

∀ {k : Type u_1} {G : Type u_2} {V : Type u_3} {W : Type u_4} [inst : CommSemiring k] [inst_1 : Monoid G]
  [inst_2 : AddCommMonoid V] [inst_3 : Module k V] [inst_4 : AddCommMonoid W] [inst_5 : Module k W]
  (ρV : Representation k G V) (r : MonoidAlgebra k G) (x : V) (y : W),
  (r •
      have this := x ⊗ₜ[k] y;
      this) =
    (r •
        have this := x;
        this) ⊗ₜ[k]
      y

Defined in

Mathlib.RepresentationTheory.Basic

Cited by

0 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringMonoidAddCommMonoidModuleAddCommMonoidModule