Theorems · Definition · order theory

OrderIso.conj

{α : Type u_6} → {β : Type u_7} → [inst : Preorder α] → [inst_1 : Preorder β] → α ≃o β → (α →o α) ≃ (β →o β)

If α and β are order-isomorphic then the two orders of order-homomorphisms from α and β to themselves are order-isomorphic.

Defined in

Mathlib.Order.Hom.Basic

Cited by

3 results in Mathlib

Foundations

Depth 30 from the axioms · uses propext, Quot.sound

Assumes

PreorderPreorder