Theorems · Theorem · general topology
Metric.diam_zero
∀ {α : Type u} [inst : PseudoMetricSpace α] [inst_1 : Zero α], Metric.diam 0 = 0- 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
- PseudoMetricSpaceZero
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Cites6
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
- Set.zerostatement · cited by 87
- Metric.diamstatement · cited by 74
- Metric.diam_singletonproof · cited by 3
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