Theorems · Definition · ring theory

AddMonoidAlgebra.curryAddEquiv

{R : Type u_1} →
  {M : Type u_4} →
    {N : Type u_5} →
      [inst : Semiring R] →
        [inst_1 : AddMonoid M] →
          [inst_2 : AddMonoid N] → AddMonoidAlgebra R (M × N) ≃+ AddMonoidAlgebra (AddMonoidAlgebra R N) M

An additive product monoid algebra is a nested additive monoid algebra.

Defined in

Mathlib.Algebra.MonoidAlgebra.Defs

Cited by

2 results in Mathlib

Foundations

Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

SemiringAddMonoidAddMonoid