Theorems · Inductive type · general topology
BoundedSpace
(α : Type u_4) → [Bornology α] → Prop
A space with a Bornology is a bounded space if Set.univ : Set α is bounded.
- Defined in
- Mathlib.Topology.Bornology.Basic
- Cited by
- 26 results in Mathlib
- Foundations
- Depth 1 from the axioms · uses no axioms
- Assumes
- Bornology
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Bornologystatement · cited by 188
Cited by28
Results whose statement or proof uses this declaration.
- Bornology.isBounded_univstatement and proof · cited by 5
- TotallyBounded.isVonNBoundedproof · cited by 4
- Metric.boundedSpace_iff_ediststatement · cited by 3
- MemHolder.of_lestatement and proof · cited by 3
- boundedSpace_subtype_iffstatement · cited by 2
- boundedSpace_val_set_iffstatement · cited by 2
- Bornology.cobounded_eq_botstatement and proof · cited by 2
- Bornology.cobounded_eq_bot_iffstatement · cited by 2
- Bornology.IsBounded.allstatement and proof · cited by 2
- BoundedSpace.bounded_univstatement and proof · cited by 2
- boundedSpace_induced_iffstatement · cited by 1
- Absorbs.of_boundedSpacestatement and proof · cited by 1