Theorems · Theorem · general topology
boundedSpace_val_set_iff
∀ {α : Type u_1} [inst : Bornology α] {s : Set α}, BoundedSpace ↑s ↔ Bornology.IsBounded s- Defined in
- Mathlib.Topology.Bornology.Constructions
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 77 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Bornology
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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.Elemstatement · cited by 7,166
- Bornology.IsBoundedstatement · cited by 293
- Bornologystatement and proof · cited by 188
- BoundedSpacestatement · cited by 26
- boundedSpace_subtype_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- HolderOnWith.exists_holderOnWith_of_leproof · cited by 0
- Bornology.IsBounded.boundedSpace_valproof · cited by 0