Theorems · Theorem · general topology
Bornology.isBounded_univ
∀ {α : Type u_2} [inst : Bornology α], Bornology.IsBounded Set.univ ↔ BoundedSpace α- Defined in
- Mathlib.Topology.Bornology.Basic
- Cited by
- 5 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
- Assumes
- Bornology
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Set.univstatement and proof · cited by 3,945
- Bornology.IsBoundedstatement and proof · cited by 293
- Bornologystatement and proof · cited by 188
- BoundedSpacestatement and proof · cited by 26
- BoundedSpace.bounded_univproof · cited by 2
Cited by5
Results whose statement or proof uses this declaration.
- Bornology.cobounded_eq_bot_iffproof · cited by 2
- boundedSpace_induced_iffproof · cited by 1
- Metric.boundedSpace_iffproof · cited by 1
- NormedSpace.cobounded_neBotproof · cited by 0
- Metric.boundedSpace_iff_nndistproof · cited by 0