Theorems · Theorem · measure theory
Besicovitch.SatelliteConfig.h
∀ {α : Type u_1} [inst : MetricSpace α] {N : ℕ} {τ : ℝ} (self : Besicovitch.SatelliteConfig α N τ),
Pairwise fun i j =>
self.r i ≤ dist (self.c i) (self.c j) ∧ self.r j ≤ τ * self.r i ∨
self.r j ≤ dist (self.c j) (self.c i) ∧ self.r i ≤ τ * self.r j- Cited by
- 3 results in Mathlib
- Foundations
- Depth 95 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MetricSpace
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.
- Realstatement and proof · cited by 25,697
- MetricSpacestatement and proof · cited by 1,684
- Dist.diststatement · cited by 1,539
- Pairwisestatement · cited by 516
- Besicovitch.SatelliteConfigstatement and proof · cited by 23
- Besicovitch.SatelliteConfig.rstatement · cited by 12
- Besicovitch.SatelliteConfig.cstatement · cited by 9
Cited by3
Results whose statement or proof uses this declaration.
- Besicovitch.SatelliteConfig.exists_normalized_aux3proof · cited by 1
- Besicovitch.SatelliteConfig.exists_normalized_aux1proof · cited by 1
- Besicovitch.SatelliteConfig.exists_normalized_aux2proof · cited by 1