Theorems · Theorem · ring theory

MonoidAlgebra.mapRangeAlgHom_comp

∀ {R : Type u_1} {A : Type u_4} {B : Type u_5} {C : Type u_6} {M : Type u_7} [inst : CommSemiring R]
  [inst_1 : Semiring A] [inst_2 : Semiring B] [inst_3 : Semiring C] [inst_4 : Algebra R A] [inst_5 : Algebra R B]
  [inst_6 : Algebra R C] [inst_7 : Monoid M] (f : A →ₐ[R] B) (g : B →ₐ[R] C),
  MonoidAlgebra.mapAlgHom M (g.comp f) = (MonoidAlgebra.mapAlgHom M g).comp (MonoidAlgebra.mapAlgHom M f)

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

0 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringSemiringSemiringAlgebraAlgebraAlgebraMonoid