Theorems · Theorem · convex and discrete geometry
Delone.DeloneSet.mapBilipschitz_coveringRadius
∀ {X : Type u_1} {Y : Type u_2} [inst : MetricSpace X] [inst_1 : MetricSpace Y] (f : X ≃ Y) (K₁ K₂ : NNReal)
(hK₁ : 0 < K₁) (hK₂ : 0 < K₂) (hf₁ : AntilipschitzWith K₁ ⇑f) (hf₂ : LipschitzWith K₂ ⇑f) (D : Delone.DeloneSet X),
(Delone.DeloneSet.mapBilipschitz f K₁ K₂ hK₁ hK₂ hf₁ hf₂ D).coveringRadius = K₂ * D.coveringRadius- Cited by
- 1 results in Mathlib
- Foundations
- Depth 155 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MetricSpaceMetricSpace
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.
- DFunLike.coestatement and proof · cited by 62,936
- Equivstatement and proof · cited by 8,337
- NNRealstatement and proof · cited by 4,310
- MetricSpacestatement and proof · cited by 1,684
- LipschitzWithstatement and proof · cited by 316
- AntilipschitzWithstatement and proof · cited by 132
- Delone.DeloneSetstatement and proof · cited by 34
- Delone.DeloneSet.coveringRadiusstatement and proof · cited by 14
- Delone.DeloneSet.mapBilipschitzstatement and proof · cited by 7
Cited by1
Results whose statement or proof uses this declaration.
- Delone.DeloneSet.mapBilipschitz_transproof · cited by 0