Theorems · Theorem · order theory

GaloisConnection.l_unique

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

Defined in

Mathlib.Order.GaloisConnection.Defs

Cited by

5 results in Mathlib

Foundations

Depth 10 from the axioms · uses propext, Quot.sound

Assumes

PartialOrderPreorder