Theorems · Theorem · general topology
Metric.hasAntitoneBasis_cobounded_compl_ball
∀ {α : Type u} [inst : PseudoMetricSpace α] (c : α),
(Bornology.cobounded α).HasAntitoneBasis fun r => (Metric.ball c r)ᶜ- Defined in
- Mathlib.Topology.MetricSpace.Bounded
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 114 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- LE.le.transproof · cited by 3,151
- Compl.complstatement · cited by 2,925
- PseudoMetricSpacestatement and proof · cited by 1,550
- Metric.ballstatement and proof · cited by 735
- Bornology.coboundedstatement · cited by 162
- Filter.HasAntitoneBasisstatement · cited by 43
- Metric.hasBasis_cobounded_compl_ballproof · cited by 2
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