Theorems · Theorem · general topology
Metric.IsSeparated.of_subsingleton
∀ {X : Type u_1} [inst : PseudoEMetricSpace X] {s : Set X} {ε : ENNReal}, s.Subsingleton → Metric.IsSeparated ε s- Cited by
- 1 results in Mathlib
- Foundations
- Depth 148 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.
Cites7
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
- ENNRealstatement and proof · cited by 9,879
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.edistproof · cited by 735
- Set.Subsingletonstatement and proof · cited by 276
- Metric.IsSeparatedstatement · cited by 28
- Set.Subsingleton.pairwiseproof · cited by 13
Cited by1
Results whose statement or proof uses this declaration.
- Set.Subsingleton.isSeparatedproof · cited by 0