Theorems · Theorem · order theory

StrictAntiOn.image_Ioc_subset

∀ {α : Type u_1} {β : Type u_2} {f : α → β} [inst : PartialOrder α] [inst_1 : Preorder β] {a b : α},
  StrictAntiOn f (Set.Icc a b) → f '' Set.Ioc a b ⊆ Set.Ico (f b) (f a)

Defined in

Mathlib.Order.Interval.Set.Image

Cited by

2 results in Mathlib

Foundations

Depth 18 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PartialOrderPreorder