Theorems · Theorem · general topology
EMetric.infEdist_singleton
Deprecated since 2026-01-08Use Metric.infEDist_singleton instead.
∀ {α : Type u} [inst : PseudoEMetricSpace α] {x y : α}, Metric.infEDist x {y} = edist x yAlias of Metric.infEDist_singleton.
The edist to a singleton is the edistance to the single point of this singleton
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- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
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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 · cited by 1,536
- EDist.ediststatement · cited by 735
- Metric.infEDiststatement · cited by 147
- Metric.infEDist_singletonproof · cited by 4
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