Theorems · Theorem · general topology
Metric.ediam_closure
∀ {α : Type u_1} [inst : PseudoEMetricSpace α] (s : Set α), Metric.ediam (closure s) = Metric.ediam s- Cited by
- 5 results in Mathlib
- Foundations
- Depth 152 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.
Cites15
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
- le_antisymmproof · cited by 2,068
- PseudoEMetricSpacestatement and proof · cited by 1,536
- closurestatement and proof · cited by 1,254
- Set.Iicproof · cited by 1,111
- EDist.edistproof · cited by 735
- subset_closureproof · cited by 309
- Metric.ediamstatement and proof · cited by 159
- Metric.edist_le_ediam_of_memproof · cited by 20
- Metric.ediam_monoproof · cited by 14
- Metric.ediam_leproof · cited by 13
Cited by5
Results whose statement or proof uses this declaration.
- Real.volume_pi_le_prod_diamproof · cited by 1
- MeasureTheory.OuterMeasure.mkMetric'.trim_preproof · cited by 1
- MeasureTheory.OuterMeasure.trim_mkMetricproof · cited by 1
- Metric.diam_closureproof · cited by 1
- EMetric.diam_closureproof · cited by 0