Theorems · Theorem · general topology
Metric.ediam_triple
∀ {X : Type u_2} {x y z : X} [inst : PseudoEMetricSpace X],
Metric.ediam {x, y, z} = max (max (edist x y) (edist x z)) (edist y z)- 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.
Cites10
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
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.ediststatement and proof · cited by 735
- Metric.ediamstatement · cited by 159
- iSup_insertproof · cited by 10
- Metric.ediam_singletonproof · cited by 10
- iSup_singletonproof · cited by 7
- Metric.ediam_insertproof · cited by 3
- max_zeroproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- EMetric.diam_tripleproof · cited by 0
- Metric.diam_tripleproof · cited by 0