Theorems · Theorem · order theory

ScottContinuous.fromProd

∀ {α : Type u_1} {β : Type u_2} {γ : Type u_4} [inst : Preorder α] [inst_1 : Preorder β] [inst_2 : Preorder γ]
  {f : α × β → γ},
  (∀ (a : α), ScottContinuous fun b => f (a, b)) → (∀ (b : β), ScottContinuous fun a => f (a, b)) → ScottContinuous f

Defined in

Mathlib.Order.ScottContinuity.Prod

Cited by

2 results in Mathlib

Foundations

Depth 64 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

PreorderPreorderPreorder