Theorems · Theorem · ring theory

AddMonoidAlgebra.mapRingHom_comp_mapDomainRingHom

∀ {R : Type u_3} {S : Type u_4} {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : Semiring S]
  [inst_2 : AddMonoid M] [inst_3 : AddMonoid N] (f : R →+* S) (g : M →+ N),
  (AddMonoidAlgebra.mapRingHom N f).comp (AddMonoidAlgebra.mapDomainRingHom R g) =
    (AddMonoidAlgebra.mapDomainRingHom S g).comp (AddMonoidAlgebra.mapRingHom M f)

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

0 results in Mathlib

Foundations

Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringSemiringAddMonoidAddMonoid