Theorems · Theorem · general topology
Metric.lipschitz_infDist
∀ {α : Type u_1} [inst : MetricSpace α], LipschitzWith 2 fun p => Metric.infDist p.1 ↑p.2- Defined in
- Mathlib.Topology.MetricSpace.Closeds
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 164 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- SetLike.coestatement and proof · cited by 8,199
- NNRealstatement and proof · cited by 4,310
- MetricSpacestatement and proof · cited by 1,684
- LipschitzWithstatement and proof · cited by 316
- TopologicalSpace.NonemptyCompactsstatement and proof · cited by 137
- Metric.infDiststatement and proof · cited by 68
- one_add_one_eq_twoproof · cited by 65
- Metric.lipschitz_infDist_ptproof · cited by 2
- LipschitzWith.uncurryproof · cited by 2
- Metric.lipschitz_infDist_setproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- Metric.uniformContinuous_infDist_Hausdorff_distproof · cited by 0