Theorems · Theorem · order theory

AntitoneOn.mapsTo_Icc

∀ {α : Type u_1} {β : Type u_2} {f : α → β} [inst : Preorder α] [inst_1 : Preorder β] {a b : α},
  AntitoneOn f (Set.Icc a b) → Set.MapsTo f (Set.Icc a b) (Set.Icc (f b) (f a))

Defined in

Mathlib.Order.Interval.Set.Image

Cited by

3 results in Mathlib

Foundations

Depth 13 from the axioms · uses propext, Quot.sound

Assumes

PreorderPreorder