monotone_iff_forall_lt

∀ {α : Type u} {β : Type v} [inst : PartialOrder α] [inst_1 : Preorder β] {f : α → β},
  Monotone f ↔ ∀ ⦃a b : α⦄, a < b → f a ≤ f b

Defined in: Mathlib.Order.Monotone.Defs
Cited by: 9 results in Mathlib
Foundations: Depth 15 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: PartialOrder Preorder

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