Theorems · Theorem · general topology
Metric.ediam_pair
∀ {X : Type u_2} {x y : X} [inst : PseudoEMetricSpace X], Metric.ediam {x, y} = edist x y- Defined in
- Mathlib.Topology.EMetricSpace.Diam
- Cited by
- 2 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.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- ENNRealstatement · cited by 9,879
- iSupproof · cited by 2,415
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.ediststatement and proof · cited by 735
- iSup_congr_Propproof · cited by 247
- sup_of_le_leftproof · cited by 218
- Metric.ediamstatement · cited by 159
- iSup_iSup_eq_leftproof · cited by 15
- Metric.ediam_singletonproof · cited by 10
- Metric.ediam_insertproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- EMetric.diam_pairproof · cited by 0
- Metric.diam_pairproof · cited by 0