Theorems · Theorem · ring theory

AddMonoidAlgebra.mapDomainAlgHom_comp

∀ {R : Type u_1} {A : Type u_4} {M : Type u_7} {N : Type u_8} {O : Type u_9} [inst : CommSemiring R]
  [inst_1 : Semiring A] [inst_2 : Algebra R A] [inst_3 : AddMonoid M] [inst_4 : AddMonoid N] [inst_5 : AddMonoid O]
  (f : M →+ N) (g : N →+ O),
  AddMonoidAlgebra.mapDomainAlgHom R A (g.comp f) =
    (AddMonoidAlgebra.mapDomainAlgHom R A g).comp (AddMonoidAlgebra.mapDomainAlgHom R A f)

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

1 results in Mathlib

Foundations

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

Assumes

CommSemiringSemiringAlgebraAddMonoidAddMonoidAddMonoid