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Theorems · Theorem · general topology

Metric.AreSeparated.union_right_iff

∀ {X : Type u_1} [inst : PseudoEMetricSpace X] {s t t' : Set X},
  Metric.AreSeparated s (t ∪ t') ↔ Metric.AreSeparated s t ∧ Metric.AreSeparated s t'
Defined in
Mathlib.Topology.MetricSpace.MetricSeparated
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0 results in Mathlib
Foundations
Depth 152 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpace
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Set · cited by 53352SetPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceMetric.AreSeparated · cited by 23Metric.AreSeparatedMetric.AreSeparated.comm · cited by 2AreSeparated.commMetric.AreSeparated.union_left_iff · cited by 2AreSeparated.union_left_i…AreSeparated.union_right_iffCITED BYCITES

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