Theorems · Theorem · ring theory

AddMonoidAlgebra.mapDomainAlgHom_apply

∀ (R : Type u_1) (A : Type u_4) {M : Type u_7} {N : Type u_8} [inst : CommSemiring R] [inst_1 : Semiring A]
  [inst_2 : Algebra R A] [inst_3 : AddMonoid M] [inst_4 : AddMonoid N] (f : M →+ N) (x : AddMonoidAlgebra A M),
  (AddMonoidAlgebra.mapDomainAlgHom R A f) x = AddMonoidAlgebra.mapDomain (⇑f) x

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

13 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraAddMonoidAddMonoid