Theorems · Theorem · ring theory

AddMonoidAlgebra.coeff_toMultiplicativeAlgEquiv_symm_apply

∀ (R : Type u_1) (A : Type u_4) (M : Type u_7) [inst : CommSemiring R] [inst_1 : Semiring A] [inst_2 : Algebra R A]
  [inst_3 : AddMonoid M] (x : MonoidAlgebra A (Multiplicative M)),
  ((AddMonoidAlgebra.toMultiplicativeAlgEquiv R A M).symm x).coeff = Finsupp.mapDomain (⇑Multiplicative.toAdd) x.coeff

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

0 results in Mathlib

Foundations

Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraAddMonoid