Theorems · Theorem · order theory

OrderIso.isLUB_image

∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] (f : α ≃o β) {s : Set α} {x : β},
  IsLUB (⇑f '' s) x ↔ IsLUB s (f.symm x)

Defined in

Mathlib.Order.Bounds.OrderIso

Cited by

3 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Quot.sound

Assumes

PreorderPreorder