Theorems · Theorem · ring theory

AddMonoidAlgebra.mapDomainBialgHom_comp

∀ {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),
  AddMonoidAlgebra.mapDomainBialgHom R (f.comp g) =
    (AddMonoidAlgebra.mapDomainBialgHom R f).comp (AddMonoidAlgebra.mapDomainBialgHom R g)

Defined in

Mathlib.RingTheory.Bialgebra.MonoidAlgebra

Cited by

2 results in Mathlib

Foundations

Depth 91 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddMonoidAddMonoidAddMonoid