Theorems · Theorem · measure theory
HasBesicovitchCovering.no_satelliteConfig
∀ {α : Type u_1} {inst : MetricSpace α} [self : HasBesicovitchCovering α],
∃ N τ, 1 < τ ∧ IsEmpty (Besicovitch.SatelliteConfig α N τ)- Cited by
- 2 results in Mathlib
- Foundations
- Depth 90 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- HasBesicovitchCovering
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- Realstatement · cited by 25,697
- MetricSpacestatement and proof · cited by 1,684
- IsEmptystatement · cited by 759
- Besicovitch.SatelliteConfigstatement · cited by 23
- HasBesicovitchCoveringstatement and proof · cited by 9
Cited by2
Results whose statement or proof uses this declaration.
- Besicovitch.exists_disjoint_closedBall_covering_ae_of_finiteMeasure_auxproof · cited by 1
- Besicovitch.exists_closedBall_covering_tsum_measure_leproof · cited by 1