Theorems · Theorem · general topology
Bornology.isBounded_prod_self
∀ {α : Type u_1} [inst : Bornology α] {s : Set α}, Bornology.IsBounded (s ×ˢ s) ↔ Bornology.IsBounded s- Defined in
- Mathlib.Topology.Bornology.Constructions
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 89 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Bornology
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Set.Nonemptyproof · cited by 2,627
- SProd.sprodstatement · cited by 1,750
- Bornology.IsBoundedstatement and proof · cited by 293
- Set.eq_empty_or_nonemptyproof · cited by 248
- Bornologystatement and proof · cited by 188
- Set.prod_emptyproof · cited by 24
- Set.Nonempty.prodproof · cited by 8
- Bornology.isBounded_prod_of_nonemptyproof · cited by 2
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