Theorems · Theorem · general topology
Metric.hausdorffDist_singleton
∀ {α : Type u} [inst : PseudoMetricSpace α] {x y : α}, Metric.hausdorffDist {x} {y} = dist x y- Cited by
- 0 results in Mathlib
- Foundations
- Depth 154 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
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Cites10
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
- ENNRealproof · cited by 9,879
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement and proof · cited by 1,539
- ENNReal.toRealproof · cited by 859
- EDist.edistproof · cited by 735
- Metric.hausdorffDiststatement · cited by 30
- dist_edistproof · cited by 21
- Metric.hausdorffEDist_singletonproof · cited by 5
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