Theorems · Theorem · ring theory

AddMonoidAlgebra.toMultiplicativeAlgEquiv_single

∀ {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] (m : M) (a : A),
  (AddMonoidAlgebra.toMultiplicativeAlgEquiv R A M) (AddMonoidAlgebra.single m a) =
    MonoidAlgebra.single (Multiplicative.ofAdd m) a

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

1 results in Mathlib

Foundations

Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

CommSemiringSemiringAlgebraAddMonoid