Theorems · Theorem · general topology
Set.infsep_pair
∀ {α : Type u_1} [inst : PseudoMetricSpace α] {x y : α}, {x, y}.infsep = dist x y- Defined in
- Mathlib.Topology.MetricSpace.Infsep
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
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Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Realstatement and proof · cited by 25,697
- ENNRealproof · cited by 9,879
- PseudoMetricSpacestatement and proof · cited by 1,550
- Dist.diststatement and proof · cited by 1,539
- ENNReal.toRealproof · cited by 859
- dist_nonnegproof · cited by 126
- ENNReal.toReal_ofRealproof · cited by 82
- edist_distproof · cited by 39
- Set.infsepstatement · cited by 35
- Set.infsep_pair_eq_toRealproof · cited by 1
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