Theorems · Theorem · order theory

upperClosure_image

∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] [inst_1 : Preorder β] {s : Set α} (f : α ≃o β),
  upperClosure (⇑f '' s) = (UpperSet.map f) (upperClosure s)

Defined in

Mathlib.Order.UpperLower.Closure

Cited by

3 results in Mathlib

Foundations

Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderPreorder