Theorems · Definition · general topology
Dilation.ratioHom
{α : Type u_1} → [inst : PseudoEMetricSpace α] → (α →ᵈ α) →* NNRealDilation.ratio as a monoid homomorphism from α →ᵈ α to ℝ≥0.
- Defined in
- Mathlib.Topology.MetricSpace.Dilation
- Cited by
- 2 results in Mathlib
- Foundations
- Depth 160 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- NNRealstatement · cited by 4,310
- MonoidHomstatement · cited by 3,629
- PseudoEMetricSpacestatement and proof · cited by 1,536
- Dilationstatement · cited by 44
- Dilation.ratioproof · cited by 43
- Dilation.ratio_mulproof · cited by 0
- Dilation.ratio_oneproof · cited by 0
Cited by2
Results whose statement or proof uses this declaration.
- Dilation.ratioHom_applystatement and proof · cited by 0
- Dilation.ratio_powproof · cited by 0