Theorems · Theorem · ring theory

AddMonoidAlgebra.coeff_toMultiplicativeBialgEquiv_apply

∀ (R : Type u_1) (A : Type u_3) (M : Type u_8) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Bialgebra R A]
  [inst_3 : AddMonoid M] (a : AddMonoidAlgebra A M),
  ((AddMonoidAlgebra.toMultiplicativeBialgEquiv R A M) a).coeff = Finsupp.mapDomain (⇑Multiplicative.ofAdd) a.coeff

Defined in

Mathlib.RingTheory.Bialgebra.MonoidAlgebra

Cited by

0 results in Mathlib

Foundations

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

Assumes

CommSemiringSemiringBialgebraAddMonoid