Theorems · Theorem · measure theory
MeasureTheory.Measure.FiniteSpanningSetsIn.spanning
∀ {α : Type u_1} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {C : Set (Set α)}
(self : μ.FiniteSpanningSetsIn C), ⋃ i, self.set i = Set.univ- Cited by
- 7 results in Mathlib
- Foundations
- Depth 6 from the axioms · uses no axioms
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.
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Set.univstatement · cited by 3,945
- Set.iUnionstatement · cited by 2,483
- MeasureTheory.Measure.FiniteSpanningSetsInstatement and proof · cited by 23
- MeasureTheory.Measure.FiniteSpanningSetsIn.setstatement · cited by 10
Cited by9
Results whose statement or proof uses this declaration.
- MeasureTheory.iUnion_spanningSetsproof · cited by 19
- MeasureTheory.Measure.FiniteSpanningSetsIn.extproof · cited by 4
- MeasureTheory.Measure.FiniteSpanningSetsIn.isCountablySpanningproof · cited by 3
- MeasureTheory.Measure.FiniteSpanningSetsIn.ofLEproof · cited by 2
- VitaliFamily.ae_tendsto_lintegral_enorm_sub_div'_of_integrableproof · cited by 1
- MeasureTheory.isSeparable_of_sigmaFiniteproof · cited by 0
- MeasureTheory.Measure.FiniteSpanningSetsIn.mono'proof · cited by 0
- MeasureTheory.Measure.FiniteSpanningSetsIn.outerRegularproof · cited by 0