Theorems · Theorem · ring theory

MonoidAlgebra.mapDomain_algebraMap

∀ {R : Type u_1} (A : Type u_4) {M : Type u_7} {N : Type u_8} {F : Type u_10} [inst : CommSemiring R]
  [inst_1 : Semiring A] [inst_2 : Algebra R A] [inst_3 : Monoid M] [inst_4 : Monoid N] [inst_5 : FunLike F M N]
  [MonoidHomClass F M N] (f : F) (r : R),
  MonoidAlgebra.mapDomain (⇑f) ((algebraMap R (MonoidAlgebra A M)) r) = (algebraMap R (MonoidAlgebra A N)) r

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

0 results in Mathlib

Foundations

Depth 84 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraMonoidMonoidFunLikeMonoidHomClass