Theorems · Theorem · ring theory

AddMonoidAlgebra.curryAlgEquiv_symm_single

∀ {R : Type u_1} {A : Type u_4} {M : Type u_7} {N : Type u_8} [inst : CommSemiring R] [inst_1 : Semiring A]
  [inst_2 : Algebra R A] [inst_3 : AddMonoid M] [inst_4 : AddMonoid N] (m : M) (n : N) (a : A),
  (AddMonoidAlgebra.curryAlgEquiv R).symm (AddMonoidAlgebra.single m (AddMonoidAlgebra.single n a)) =
    AddMonoidAlgebra.single (m, n) a

Defined in

Mathlib.Algebra.MonoidAlgebra.Basic

Cited by

10 results in Mathlib

Foundations

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

Assumes

CommSemiringSemiringAlgebraAddMonoidAddMonoid