Theorems · Theorem · ring theory

AddMonoidAlgebra.mapDomainBialgHom_mapDomainBialgHom

∀ {R : Type u_1} {M : Type u_8} {N : Type u_9} {O : Type u_10} [inst : CommSemiring R] [inst_1 : AddMonoid M]
  [inst_2 : AddMonoid N] [inst_3 : AddMonoid O] (f : N →+ O) (g : M →+ N) (x : AddMonoidAlgebra R M),
  (AddMonoidAlgebra.mapDomainBialgHom R f) ((AddMonoidAlgebra.mapDomainBialgHom R g) x) =
    (AddMonoidAlgebra.mapDomainBialgHom R (f.comp g)) x

Defined in

Mathlib.RingTheory.Bialgebra.MonoidAlgebra

Cited by

0 results in Mathlib

Foundations

Depth 92 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddMonoidAddMonoidAddMonoid