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Theorems · Theorem · general topology

Set.Subsingleton.isSeparated

∀ {X : Type u_1} [inst : PseudoEMetricSpace X] {s : Set X} {ε : ENNReal}, s.Subsingleton → Metric.IsSeparated ε s

Alias of Metric.IsSeparated.of_subsingleton.

Defined in
Mathlib.Topology.MetricSpace.MetricSeparated
Cited by
0 results in Mathlib
Foundations
Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpace
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Set · cited by 53352SetENNReal · cited by 9879ENNRealPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceSet.Subsingleton · cited by 276Set.SubsingletonMetric.IsSeparated · cited by 28Metric.IsSeparatedMetric.IsSeparated.of_subsingleton · cited by 1IsSeparated.of_subsinglet…Subsingleton.isSeparatedCITED BYCITES

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