Theorems · Theorem · general topology
Isometry.toDilation_ratio
∀ {α : Type u_1} {β : Type u_2} [inst : PseudoEMetricSpace α] [inst_1 : PseudoEMetricSpace β] {f : α → β}
{hf : Isometry f}, Dilation.ratio (Isometry.toDilation f hf) = 1- Defined in
- Mathlib.Topology.MetricSpace.Dilation
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 153 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Top.topproof · cited by 9,680
- NNRealstatement · cited by 4,310
- one_mulproof · cited by 2,841
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.edistproof · cited by 735
- Isometrystatement and proof · cited by 230
- Dilationstatement · cited by 44
- Dilation.ratiostatement · cited by 43
- Isometry.toDilationstatement and proof · cited by 8
- Dilation.ratio_of_trivialproof · cited by 3
- Dilation.ratio_uniqueproof · cited by 3
- Isometry.toDilation_toFunproof · cited by 1
Cited by1
Results whose statement or proof uses this declaration.
- IsometryEquiv.toDilationEquiv_ratioproof · cited by 0