Theorems · Theorem · order theory
Antitone.mapsTo_Icc
∀ {α : Type u_1} {β : Type u_2} {f : α → β} [inst : Preorder α] [inst_1 : Preorder β] {a b : α},
Antitone f → Set.MapsTo f (Set.Icc a b) (Set.Icc (f b) (f a))- Defined in
- Mathlib.Order.Interval.Set.Image
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 14 from the axioms · uses propext, Quot.sound
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Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Preorderstatement and proof · cited by 7,952
- Set.Iccstatement and proof · cited by 1,702
- Set.MapsTostatement · cited by 732
- Antitonestatement and proof · cited by 563
- Antitone.antitoneOnproof · cited by 21
- AntitoneOn.mapsTo_Iccproof · cited by 3
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