Theorems · Definition · order theory

OrderAddMonoidHom.toOrderHom

{α : Type u_2} →
  {β : Type u_3} →
    [inst : Preorder α] →
      [inst_1 : Preorder β] → [inst_2 : AddZeroClass α] → [inst_3 : AddZeroClass β] → (α →+o β) → α →o β

Reinterpret an ordered additive monoid homomorphism as an order homomorphism.

Defined in

Mathlib.Algebra.Order.Hom.Monoid

Cited by

2 results in Mathlib

Foundations

Depth 4 from the axioms · uses no axioms

Assumes

PreorderPreorderAddZeroClassAddZeroClass