Theorems · Theorem · general topology
Metric.diam_pair
∀ {α : Type u} {x y : α} [inst : PseudoMetricSpace α], Metric.diam {x, y} = dist x y- Defined in
- Mathlib.Topology.MetricSpace.Bounded
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement · cited by 25,697
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement · cited by 1,539
- ENNReal.toRealproof · cited by 859
- EDist.edistproof · cited by 735
- Metric.diamstatement · cited by 74
- dist_edistproof · cited by 21
- Metric.ediam_pairproof · cited by 2
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