Theorems · Theorem · ring theory

AddMonoidAlgebra.commRingEquiv_single_single

∀ {R : Type u_3} {M : Type u_6} {N : Type u_7} [inst : Semiring R] [inst_1 : AddMonoid M] [inst_2 : AddMonoid N] (m : M)
  (n : N) (r : R),
  AddMonoidAlgebra.commRingEquiv (AddMonoidAlgebra.single m (AddMonoidAlgebra.single n r)) =
    AddMonoidAlgebra.single n (AddMonoidAlgebra.single m r)

Defined in

Mathlib.Algebra.MonoidAlgebra.MapDomain

Cited by

3 results in Mathlib

Foundations

Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddMonoidAddMonoid