Theorems · Theorem · general topology
Metric.infEDist_singleton
∀ {α : Type u} [inst : PseudoEMetricSpace α] {x y : α}, Metric.infEDist x {y} = edist x yThe edist to a singleton is the edistance to the single point of this singleton
- Cited by
- 4 results in Mathlib
- Foundations
- Depth 148 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.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- ENNRealstatement · cited by 9,879
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.ediststatement · cited by 735
- Metric.infEDiststatement · cited by 147
- iInf_singletonproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- Metric.hausdorffEDist_singletonproof · cited by 5
- Metric.cthickening_singletonproof · cited by 4
- Metric.infDist_singletonproof · cited by 1
- EMetric.infEdist_singletonproof · cited by 0