Theorems · Theorem · general topology
Metric.lipschitz_infDist_pt
∀ {α : Type u} [inst : PseudoMetricSpace α] (s : Set α), LipschitzWith 1 fun x => Metric.infDist x sThe minimal distance to a set is Lipschitz in point with constant 1
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 156 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement and proof · cited by 53,352
- Realstatement · cited by 25,697
- NNRealstatement · cited by 4,310
- PseudoMetricSpacestatement and proof · cited by 1,550
- LipschitzWithstatement · cited by 316
- Metric.infDiststatement · cited by 68
- LipschitzWith.of_le_addproof · cited by 7
- Metric.infDist_le_infDist_add_distproof · cited by 2
Cited by2
Results whose statement or proof uses this declaration.
- Metric.uniformContinuous_infDist_ptproof · cited by 1
- Metric.lipschitz_infDistproof · cited by 1