Theorems · Theorem · general topology
Metric.AreSeparated.symm
∀ {X : Type u_1} [inst : PseudoEMetricSpace X] {s t : Set X}, Metric.AreSeparated s t → Metric.AreSeparated t s- Cited by
- 4 results in Mathlib
- Foundations
- Depth 149 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 and proof · cited by 53,352
- ENNRealproof · cited by 9,879
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.edistproof · cited by 735
- PseudoEMetricSpace.edist_commproof · cited by 52
- Metric.AreSeparatedstatement and proof · cited by 23
Cited by4
Results whose statement or proof uses this declaration.
- Metric.AreSeparated.commproof · cited by 2
- MeasureTheory.OuterMeasure.IsMetric.borel_le_caratheodoryproof · cited by 1
- Metric.AreSeparated.union_rightproof · cited by 0
- Metric.AreSeparated.empty_rightproof · cited by 0