Theorems · Theorem · general topology
AntilipschitzWith.restrict
Deprecated since 2026-07-19Use AntilipschitzWith.domRestrict instead.
∀ {α : Type u_1} {β : Type u_2} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] {K : NNReal} {f : α → β},
AntilipschitzWith K f → ∀ (s : Set α), AntilipschitzWith K (s.domRestrict f)Alias of AntilipschitzWith.domRestrict.
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- Foundations
- Depth 149 from the axioms · uses propext, Classical.choice, Quot.sound
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Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Setstatement · cited by 53,352
- Set.Elemstatement · cited by 7,166
- NNRealstatement · cited by 4,310
- PseudoEMetricSpacestatement · cited by 1,536
- Set.domRestrictstatement · cited by 383
- AntilipschitzWithstatement · cited by 132
- AntilipschitzWith.domRestrictproof · cited by 4
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