Theorems · Theorem · general topology
Bornology.le_cofinite
∀ (α : Type u_4) [self : Bornology α], Bornology.cobounded α ≤ Filter.cofinite
The cobounded filter in a bornology is smaller than the cofinite filter.
- Defined in
- Mathlib.Topology.Bornology.Basic
- Cited by
- 3 results in Mathlib
- Foundations
- Depth 66 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.
Cites4
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Filterstatement · cited by 8,121
- Filter.cofinitestatement · cited by 251
- Bornologystatement and proof · cited by 188
- Bornology.coboundedstatement · cited by 162
Cited by3
Results whose statement or proof uses this declaration.
- Bornology.eventually_ne_coboundedproof · cited by 6
- Bornology.isBounded_singletonproof · cited by 6
- Set.Finite.isBoundedproof · cited by 4