Theorems · Theorem · ring theory

AddMonoidAlgebra.mapDomainBialgHom_single

∀ {R : Type u_1} {M : Type u_8} {N : Type u_9} [inst : CommSemiring R] [inst_1 : AddMonoid M] [inst_2 : AddMonoid N]
  (f : M →+ N) (m : M) (r : R),
  (AddMonoidAlgebra.mapDomainBialgHom R f) (AddMonoidAlgebra.single m r) = AddMonoidAlgebra.single (f m) r

Defined in

Mathlib.RingTheory.Bialgebra.MonoidAlgebra

Cited by

3 results in Mathlib

Foundations

Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringAddMonoidAddMonoid