Theorems · Theorem · ring theory

AddMonoidAlgebra.mapDomain_vadd

∀ {R : Type u_1} {S : Type u_2} {M : Type u_3} {N : Type u_4} [inst : Monoid S] [inst_1 : Semiring R]
  [inst_2 : DistribMulAction S R] (f : M → N) (s : S) (x : AddMonoidAlgebra R M),
  AddMonoidAlgebra.mapDomain f (s • x) = s • AddMonoidAlgebra.mapDomain f x

Defined in

Mathlib.Algebra.MonoidAlgebra.Module

Cited by

0 results in Mathlib

Foundations

Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

MonoidSemiringDistribMulAction