Theorems · Theorem · general topology
LipschitzWith.completion_map
∀ {α : Type u} {β : Type v} [inst : PseudoMetricSpace α] [inst_1 : PseudoMetricSpace β] {f : α → β} {K : NNReal},
LipschitzWith K f → LipschitzWith K (UniformSpace.Completion.map f)- Defined in
- Mathlib.Topology.MetricSpace.Completion
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 161 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites10
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement and proof · cited by 4,310
- one_mulproof · cited by 2,841
- PseudoMetricSpacestatement and proof · cited by 1,550
- LipschitzWithstatement and proof · cited by 316
- UniformSpace.Completionstatement · cited by 192
- UniformSpace.Completion.mapstatement · cited by 23
- Isometry.lipschitzproof · cited by 22
- LipschitzWith.compproof · cited by 11
- UniformSpace.Completion.coe_isometryproof · cited by 3
- LipschitzWith.completion_extensionproof · cited by 1
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