Theorems · Theorem · general topology
TopologicalSpace.Closeds.lipschitz_sup
∀ {α : Type u_1} [inst : EMetricSpace α], LipschitzWith 1 fun p => p.1 ⊔ p.2- Defined in
- Mathlib.Topology.MetricSpace.Closeds
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- LipschitzWithstatement · cited by 316
- EMetricSpacestatement and proof · cited by 242
- TopologicalSpace.Closedsstatement and proof · cited by 168
- LipschitzWith.of_edist_leproof · cited by 12
- Metric.hausdorffEDist_union_leproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- EMetric.Closeds.lipschitz_supproof · cited by 0