Mathlib Map

Theorems · Definition · order theory

Antitone

{α : Type u} → {β : Type v} → [Preorder α] → [Preorder β] → (α → β) → Prop

A function f is antitone if a ≤ b implies f b ≤ f a.

Defined in
Mathlib.Order.Monotone.Defs
Cited by
563 results in Mathlib
Foundations
Depth 2 from the axioms, rests on 5 definitions · uses no axioms
Assumes
PreorderPreorder

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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

Cited by570

Results whose statement or proof uses this declaration.

Showing the 200 most cited of 570.