Theorems · Theorem · order theory

GaloisInsertion.l_u_eq

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

Defined in

Mathlib.Order.GaloisConnection.Defs

Cited by

37 results in Mathlib

Foundations

Depth 6 from the axioms · uses no axioms

Assumes

PreorderPartialOrder