Theorems · Theorem · order theory

GaloisConnection.isGreatest_u

∀ {α : Type u} {β : Type v} [inst : Preorder α] [inst_1 : Preorder β] {u : α → β} {l : β → α},
  GaloisConnection l u → ∀ {a : α}, IsGreatest {b | l b ≤ a} (u a)

Defined in

Mathlib.Order.GaloisConnection.Basic

Cited by

3 results in Mathlib

Foundations

Depth 9 from the axioms · uses propext, Quot.sound

Assumes

PreorderPreorder