Theorems · Theorem · ring theory

MonoidAlgebra.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 : Monoid M] [inst_4 : Monoid N] [inst_5 : Monoid O] (f : M →* N)
  (g : N →* O),
  MonoidAlgebra.mapDomainAlgHom R A (g.comp f) =
    (MonoidAlgebra.mapDomainAlgHom R A g).comp (MonoidAlgebra.mapDomainAlgHom R A 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

CommSemiringSemiringAlgebraMonoidMonoidMonoid