Mathlib Map

Theorems · Definition · general topology

DilationEquiv.ratioHom

{X : Type u_1} → [inst : PseudoEMetricSpace X] → (X ≃ᵈ X) →* NNReal

Dilation.ratio as a monoid homomorphism.

Defined in
Mathlib.Topology.MetricSpace.DilationEquiv
Cited by
2 results in Mathlib
Foundations
Depth 160 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoEMetricSpace
Mathlib docsSourceLoogleLeanSearch

Around this declaration

Dashed lines are statement dependencies; solid lines are citations in proofs.

DilationEquiv.ratio_pow · cited by 0DilationEquiv.ratio_powDilationEquiv.ratio_zpow · cited by 0DilationEquiv.ratio_zpowNNReal · cited by 4310NNRealMonoidHom · cited by 3629MonoidHomPseudoEMetricSpace · cited by 1536PseudoEMetricSpaceDilationEquiv · cited by 55DilationEquivDilation.ratio · cited by 43Dilation.ratioDilationEquiv.ratio_refl · cited by 1DilationEquiv.ratio_reflDilationEquiv.ratioHomCITED BYCITES

Cites6

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.