MonotoneOn

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

A function f is monotone on s if, for all a, b ∈ s, a ≤ b implies f a ≤ f b.

Defined in: Mathlib.Order.Monotone.Defs
Cited by: 311 results in Mathlib
Foundations: Depth 4 from the axioms, rests on 11 definitions · uses no axioms
Assumes: Preorder Preorder

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