Theorems · Theorem · order theory

StrictMono.orderIsoOfSurjective_symm_apply_self

∀ {α : Type u_1} {β : Type u_2} [inst : LinearOrder α] [inst_1 : Preorder β] (f : α → β) (h_mono : StrictMono f)
  (h_surj : Function.Surjective f) (a : α), (StrictMono.orderIsoOfSurjective f h_mono h_surj).symm (f a) = a

Defined in

Mathlib.Order.Hom.Set

Cited by

0 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderPreorder