Theorems · Theorem · general topology
Bornology.cobounded_eq_bot_iff
∀ {α : Type u_2} [inst : Bornology α], Bornology.cobounded α = ⊥ ↔ BoundedSpace α- Defined in
- Mathlib.Topology.Bornology.Basic
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 58 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.
Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setproof · cited by 53,352
- Filterstatement · cited by 8,121
- Bot.botstatement and proof · cited by 4,720
- Bornologystatement and proof · cited by 188
- Bornology.coboundedstatement and proof · cited by 162
- Set.compl_univproof · cited by 41
- BoundedSpacestatement · cited by 26
- Filter.empty_mem_iff_botproof · cited by 18
- Bornology.isBounded_defproof · cited by 9
- Bornology.isBounded_univproof · cited by 5
Cited by2
Results whose statement or proof uses this declaration.
- Bornology.cobounded_eq_botproof · cited by 2
- NormedSpace.cobounded_neBotproof · cited by 0