Theorems · Theorem · order theory

Antitone.dual

∀ {α : Type u} {β : Type v} [inst : Preorder α] [inst_1 : Preorder β] {f : α → β},
  Antitone f → Antitone (⇑OrderDual.toDual ∘ f ∘ ⇑OrderDual.ofDual)

Alias of the reverse direction of antitone_dual_iff.

Defined in

Mathlib.Order.Monotone.Basic

Cited by

8 results in Mathlib

Foundations

Depth 16 from the axioms · uses propext, Quot.sound

Assumes

PreorderPreorder