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Theorems · Theorem · general topology

Metric.AreSeparated.empty_left

∀ {X : Type u_1} [inst : PseudoEMetricSpace X] (s : Set X), Metric.AreSeparated ∅ s
Defined in
Mathlib.Topology.MetricSpace.MetricSeparated
Cited by
1 results in Mathlib
Foundations
Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpace
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Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

Metric.AreSeparated.empty_right · cited by 0AreSeparated.empty_rightSet · cited by 53352SetPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceone_ne_zero · cited by 885one_ne_zeroMetric.AreSeparated · cited by 23Metric.AreSeparatedAreSeparated.empty_leftCITED BYCITES

Cites4

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Cited by1

Results whose statement or proof uses this declaration.