Theorems · Theorem · general topology
Metric.hausdorffEDist_singleton
∀ {α : Type u} [inst : PseudoEMetricSpace α] {x y : α}, Metric.hausdorffEDist {x} {y} = edist x y- Cited by
- 5 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
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.
- Setstatement · cited by 53,352
- ENNRealstatement and proof · cited by 9,879
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.ediststatement and proof · cited by 735
- Metric.hausdorffEDiststatement · cited by 76
- PseudoEMetricSpace.edist_commproof · cited by 52
- max_selfproof · cited by 43
- Metric.hausdorffEDist_defproof · cited by 13
- iSup_singletonproof · cited by 7
- Metric.infEDist_singletonproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- TopologicalSpace.NonemptyCompacts.isometry_singletonproof · cited by 1
- TopologicalSpace.Closeds.isometry_singletonproof · cited by 1
- TopologicalSpace.Compacts.isometry_singletonproof · cited by 0
- EMetric.hausdorffEdist_singletonproof · cited by 0
- Metric.hausdorffDist_singletonproof · cited by 0