Theorems · Theorem · general topology
AntilipschitzWith.isInducing
∀ {α : Type u_1} {β : Type u_2} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] {K : NNReal} {f : α → β},
AntilipschitzWith K f → Continuous f → Topology.IsInducing f- Cited by
- 1 results in Mathlib
- Foundations
- Depth 150 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
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
- Continuousstatement and proof · cited by 2,592
- le_antisymmproof · cited by 2,068
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Topology.IsInducingstatement · cited by 266
- Continuous.tendstoproof · cited by 206
- AntilipschitzWithstatement and proof · cited by 132
- Filter.Tendsto.le_comapproof · cited by 28
- Topology.isInducing_iff_nhdsproof · cited by 14
- AntilipschitzWith.comap_nhds_leproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- AntilipschitzWith.isEmbeddingproof · cited by 0