Theorems · Theorem · general topology
Dilation.ratio_pos
∀ {α : Type u_1} {β : Type u_2} {F : Type u_4} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β]
[inst_2 : FunLike F α β] [inst_3 : DilationClass F α β] (f : F), 0 < Dilation.ratio f- Defined in
- Mathlib.Topology.MetricSpace.Dilation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 151 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- FunLikestatement and proof · cited by 2,560
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Ne.bot_ltproof · cited by 116
- Dilation.ratiostatement · cited by 43
- DilationClassstatement and proof · cited by 41
- Dilation.ratio_ne_zeroproof · cited by 4
Cited by1
Results whose statement or proof uses this declaration.
- Dilation.mapsTo_ballproof · cited by 0