Theorems · Theorem · general topology
AntilipschitzWith.domRestrict
∀ {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)- Cited by
- 4 results in Mathlib
- Foundations
- Depth 148 from the axioms · uses propext, Classical.choice, Quot.sound
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.
- Setstatement and proof · cited by 53,352
- Set.Elemstatement and proof · cited by 7,166
- NNRealstatement and proof · cited by 4,310
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Set.domRestrictstatement · cited by 383
- AntilipschitzWithstatement and proof · cited by 132
Cited by4
Results whose statement or proof uses this declaration.
- ApproximatesLinearOn.antilipschitzproof · cited by 3
- AntilipschitzWith.subtype_coeproof · cited by 1
- AntilipschitzWith.to_rightInvOnproof · cited by 0
- AntilipschitzWith.restrictproof · cited by 0