Theorems · Theorem · order theory

GaloisConnection.u_unique

∀ {α : Type u} {β : Type v} [inst : PartialOrder α] [inst_1 : Preorder β] {l : α → β} {u : β → α},
  GaloisConnection l u →
    ∀ {l' : α → β} {u' : β → α}, GaloisConnection l' u' → (∀ (a : α), l a = l' a) → ∀ {b : β}, u b = u' b

Defined in

Mathlib.Order.GaloisConnection.Defs

Cited by

3 results in Mathlib

Foundations

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

Assumes

PartialOrderPreorder