Theorems · Inductive type · general topology
DilationClass
(F : Type u_3) →
(α : outParam (Type u_4)) →
(β : outParam (Type u_5)) → [PseudoEMetricSpace α] → [PseudoEMetricSpace β] → [FunLike F α β] → PropDilationClass F α β r states that F is a type of r-dilations.
You should extend this typeclass when you extend Dilation.
- Defined in
- Mathlib.Topology.MetricSpace.Dilation
- Cited by
- 41 results in Mathlib
- Foundations
- Depth 3 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites2
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- FunLikestatement · cited by 2,560
- PseudoEMetricSpacestatement · cited by 1,536
Cited by44
Results whose statement or proof uses this declaration.
- Dilation.ratiostatement and proof · cited by 43
- Dilation.edist_eqstatement and proof · cited by 10
- Dilation.antilipschitzstatement and proof · cited by 6
- Dilation.lipschitzstatement and proof · cited by 6
- Dilation.ratio_ne_zerostatement and proof · cited by 4
- Dilation.comap_coboundedstatement and proof · cited by 3
- Dilation.dist_eqstatement and proof · cited by 3
- Dilation.isUniformInducingstatement and proof · cited by 3
- Dilation.ratio_of_trivialstatement and proof · cited by 3
- Dilation.ratio_uniquestatement and proof · cited by 3
- Similar.comp_leftstatement and proof · cited by 3
- Dilation.ediam_imagestatement and proof · cited by 2