Theorems · Theorem · order theory

GaloisConnection.u_top

∀ {α : Type u} {β : Type v} [inst : PartialOrder α] [inst_1 : Preorder β] [inst_2 : OrderTop α] [inst_3 : OrderTop β]
  {l : α → β} {u : β → α}, GaloisConnection l u → u ⊤ = ⊤

Defined in

Mathlib.Order.GaloisConnection.Defs

Cited by

31 results in Mathlib

Foundations

Depth 10 from the axioms · uses no axioms

Assumes

PartialOrderPreorderOrderTopOrderTop