Theorems · Theorem · measure theory
MeasureTheory.NullMeasurableSet.iUnion
∀ {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {ι : Sort u_5} [Countable ι] {s : ι → Set α},
(∀ (i : ι), MeasureTheory.NullMeasurableSet (s i) μ) → MeasureTheory.NullMeasurableSet (⋃ i, s i) μ- Cited by
- 8 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Countable
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.iUnionstatement · cited by 2,483
- Countablestatement and proof · cited by 633
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- MeasurableSet.iUnionproof · cited by 81
Cited by8
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.MeasurableSet.nullMeasurableSet_subtype_coeproof · cited by 4
- MeasureTheory.tendsto_measure_biUnion_Ici_zero_of_pairwise_disjointproof · cited by 2
- MeasureTheory.IsAddFundamentalDomain.mk_of_measure_univ_leproof · cited by 1
- MeasureTheory.NullMeasurableSet.fundamentalInteriorproof · cited by 1
- MeasureTheory.NullMeasurableSet.addFundamentalFrontierproof · cited by 0
- MeasureTheory.NullMeasurableSet.addFundamentalInteriorproof · cited by 0
- MeasureTheory.IsFundamentalDomain.mk_of_measure_univ_leproof · cited by 0
- MeasureTheory.NullMeasurableSet.fundamentalFrontierproof · cited by 0