Theorems · Definition · order theory

OrderAddMonoidIso.toMultiplicativeRight

{G : Type u_1} →
  {H : Type u_2} →
    [inst : CommMonoid G] →
      [inst_1 : PartialOrder G] →
        [inst_2 : AddCommMonoid H] → [inst_3 : PartialOrder H] → (Additive G ≃+o H) ≃ (G ≃*o Multiplicative H)

Reinterpret Additive G ≃+o H as G ≃*o Multiplicative H.

Defined in

Mathlib.Algebra.Order.Hom.TypeTags

Cited by

4 results in Mathlib

Foundations

Depth 25 from the axioms · uses propext, Quot.sound

Assumes

CommMonoidPartialOrderAddCommMonoidPartialOrder