Theorems · Theorem · ring theory

MonoidAlgebra.coeff_toAdditiveBialgEquiv_symm_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 : Monoid M] (a : AddMonoidAlgebra A (Additive M)),
  ((MonoidAlgebra.toAdditiveBialgEquiv R A M).symm a).coeff = Finsupp.mapDomain (⇑Additive.toMul) 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

CommSemiringSemiringBialgebraMonoid