Theorems · Theorem · general topology
Bornology.cobounded_eq_bot
∀ (α : Type u_2) [inst : Bornology α] [BoundedSpace α], Bornology.cobounded α = ⊥
- Defined in
- Mathlib.Topology.Bornology.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 59 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- BornologyBoundedSpace
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.
- Filterstatement · cited by 8,121
- Bot.botstatement · cited by 4,720
- Bornologystatement and proof · cited by 188
- Bornology.coboundedstatement · cited by 162
- BoundedSpacestatement and proof · cited by 26
- Bornology.cobounded_eq_bot_iffproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Metric.cobounded_eq_cocompactproof · cited by 8
- Absorbs.of_boundedSpaceproof · cited by 1