Theorems · Theorem · order theory

Set.monotone_ofPred

∀ {α : Type u_1} {β : Type u_2} [inst : Preorder α] {p : α → β → Prop},
  (∀ (b : β), Monotone fun a => p a b) → Monotone fun a => {b | p a b}

Defined in

Mathlib.Data.Set.Order

Cited by

2 results in Mathlib

Foundations

Depth 21 from the axioms · uses propext, Quot.sound

Assumes

Preorder