Theorems · Theorem · general topology

Bornology.isBounded_prod_of_nonempty

∀ {α : Type u_1} {β : Type u_2} [inst : Bornology α] [inst_1 : Bornology β] {s : Set α} {t : Set β},
  (s ×ˢ t).Nonempty → (Bornology.IsBounded (s ×ˢ t) ↔ Bornology.IsBounded s ∧ Bornology.IsBounded t)

Defined in

Mathlib.Topology.Bornology.Constructions

Cited by

2 results in Mathlib

Foundations

Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

BornologyBornology