Theorems · Theorem · general topology
TopologicalSpace.Closeds.lipschitz_prod
∀ {α : Type u_1} {β : Type u_2} [inst : EMetricSpace α] [inst_1 : EMetricSpace β], LipschitzWith 1 fun p => p.1 ×ˢ p.2- Defined in
- Mathlib.Topology.MetricSpace.Closeds
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- EMetricSpaceEMetricSpace
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Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- SProd.sprodstatement · cited by 1,750
- 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_prod_leproof · cited by 4
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