Theorems · Theorem · measure theory
MeasureTheory.NullMeasurableSet.biUnion
∀ {ι : Type u_1} {α : Type u_2} {m0 : MeasurableSpace α} {μ : MeasureTheory.Measure α} {f : ι → Set α} {s : Set ι},
s.Countable → (∀ b ∈ s, MeasureTheory.NullMeasurableSet (f b) μ) → MeasureTheory.NullMeasurableSet (⋃ b ∈ s, f b) μ- Cited by
- 1 results in Mathlib
- Foundations
- Depth 174 from the axioms · uses propext, Classical.choice, Quot.sound
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
- Set.Countablestatement and proof · cited by 545
- MeasureTheory.NullMeasurableSetstatement and proof · cited by 337
- MeasurableSet.biUnionproof · cited by 25
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.Conservative.frequently_measure_inter_ne_zeroproof · cited by 1