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Theorems · Definition · measure theory

MeasureTheory.Measure.FiniteSpanningSetsIn.set

{α : Type u_1} →
  {m0 : MeasurableSpace α} → {μ : MeasureTheory.Measure α} → {C : Set (Set α)} → μ.FiniteSpanningSetsIn C → ℕ → Set α

The sequence of sets in C with finite measures

Defined in
Mathlib.MeasureTheory.Measure.Typeclasses.Finite
Cited by
10 results in Mathlib
Foundations
Depth 3 from the axioms · uses no axioms
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Around this declaration

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

MeasureTheory.spanningSets · cited by 45MeasureTheory.spanningSetsMeasureTheory.Measure.toFiniteSpanningSetsIn · cited by 13Measure.toFiniteSpanningS…MeasureTheory.Measure.FiniteSpanningSetsIn.set_mem · cited by 7FiniteSpanningSetsIn.set_…MeasureTheory.Measure.FiniteSpanningSetsIn.spanning · cited by 7FiniteSpanningSetsIn.span…MeasureTheory.Measure.FiniteSpanningSetsIn.finite · cited by 5FiniteSpanningSetsIn.fini…MeasureTheory.Measure.FiniteSpanningSetsIn.ext · cited by 4FiniteSpanningSetsIn.extMeasureTheory.Measure.FiniteSpanningSetsIn.isCountablySpanning · cited by 3FiniteSpanningSetsIn.isCo…MeasureTheory.Measure.FiniteSpanningSetsIn.prod · cited by 3FiniteSpanningSetsIn.prodMeasureTheory.Measure.FiniteSpanningSetsIn.disjointed · cited by 2FiniteSpanningSetsIn.disj…MeasureTheory.Measure.FiniteSpanningSetsIn.ofLE · cited by 2FiniteSpanningSetsIn.ofLEMeasureTheory.Measure.FiniteSpanningSetsIn.pi · cited by 2FiniteSpanningSetsIn.piMeasureTheory.Measure.MeasureDense.of_generateFrom_isSetAlgebra_sigmaFinite · cited by 1MeasureDense.of_generateF…VitaliFamily.ae_tendsto_lintegral_enorm_sub_div'_of_integrable · cited by 1VitaliFamily.ae_tendsto_l…MeasureTheory.isSeparable_of_sigmaFinite · cited by 0MeasureTheory.isSeparable…MeasureTheory.Measure.exists_eq_disjoint_finiteSpanningSetsIn · cited by 0Measure.exists_eq_disjoin…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureMeasureTheory.Measure.FiniteSpanningSetsIn · cited by 23Measure.FiniteSpanningSet…FiniteSpanningSetsIn.setCITED BYCITES

Cites4

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Cited by17

Results whose statement or proof uses this declaration.