Mathlib Map

Theorems · Theorem · measure theory

MeasureTheory.SigmaFinite.out

∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α},
  MeasureTheory.SigmaFinite μ → Nonempty (μ.FiniteSpanningSetsIn Set.univ)
Defined in
Mathlib.MeasureTheory.Measure.Typeclasses.SFinite
Cited by
1 results in Mathlib
Foundations
Depth 4 from the axioms · uses no axioms
Mathlib docsSourceLoogleLeanSearch

Around this declaration

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

MeasureTheory.Measure.toFiniteSpanningSetsIn · cited by 13Measure.toFiniteSpanningS…MeasureTheory.Measure.sigmaFinite_of_le · cited by 0Measure.sigmaFinite_of_leSet · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasureTheory.Measure · cited by 10939MeasureTheory.MeasureSet.univ · cited by 3945Set.univMeasureTheory.SigmaFinite · cited by 526MeasureTheory.SigmaFiniteMeasureTheory.Measure.FiniteSpanningSetsIn · cited by 23Measure.FiniteSpanningSet…MeasureTheory.SigmaFinite.out' · cited by 2SigmaFinite.out'SigmaFinite.outCITED BYCITES

Cites7

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Cited by2

Results whose statement or proof uses this declaration.