Theorems · Theorem · general topology
Dilation.ratio_mul
∀ {α : Type u_1} [inst : PseudoEMetricSpace α] (f g : α →ᵈ α),
Dilation.ratio (f * g) = Dilation.ratio f * Dilation.ratio g- Defined in
- Mathlib.Topology.MetricSpace.Dilation
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 159 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- PseudoEMetricSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- mul_oneproof · cited by 3,885
- PseudoEMetricSpacestatement and proof · cited by 1,536
- EDist.edistproof · cited by 735
- Dilationstatement and proof · cited by 44
- Dilation.ratiostatement · cited by 43
- Dilation.ratio_comp'proof · cited by 3
- Dilation.ratio_of_trivialproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- Dilation.ratioHomproof · cited by 2