Theorems · Definition · order theory

OrderIso.ofRelIsoLT

{α : Type u_6} →
  {β : Type u_7} →
    [inst : PartialOrder α] → [inst_1 : PartialOrder β] → ((fun x1 x2 => x1 < x2) ≃r fun x1 x2 => x1 < x2) → α ≃o β

Converts a RelIso (<) (<) into an OrderIso.

Defined in

Mathlib.Order.Hom.Basic

Cited by

8 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderPartialOrder