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Theorems · Theorem · measure theory

IsUnifLocDoublingMeasure.vitaliFamily.congr_simp

∀ {α : Type u_2} [inst : PseudoMetricSpace α] [inst_1 : MeasurableSpace α] (μ : MeasureTheory.Measure α)
  [inst_2 : IsUnifLocDoublingMeasure μ] [inst_3 : SecondCountableTopology α] [inst_4 : BorelSpace α]
  [inst_5 : MeasureTheory.IsLocallyFiniteMeasure μ] (K K_1 : ℝ),
  K = K_1 → IsUnifLocDoublingMeasure.vitaliFamily μ K = IsUnifLocDoublingMeasure.vitaliFamily μ K_1
Defined in
Mathlib.MeasureTheory.Covering.DensityTheorem
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Foundations
Depth 195 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
PseudoMetricSpaceMeasurableSpaceIsUnifLocDoublingMeasureSecondCountableTopologyBorelSpaceMeasureTheory.IsLocallyFiniteMeasure

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