Theorems · Theorem · measure theory
MeasurableSet.sUnion
∀ {α : Type u_1} {m : MeasurableSpace α} {s : Set (Set α)},
s.Countable → (∀ t ∈ s, MeasurableSet t) → MeasurableSet (⋃₀ s)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 63 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
- MeasurableSetstatement and proof · cited by 3,075
- Set.Countablestatement and proof · cited by 545
- Set.sUnionstatement · cited by 392
- Set.sUnion_eq_biUnionproof · cited by 51
- MeasurableSet.biUnionproof · cited by 25
Cited by5
Results whose statement or proof uses this declaration.
- measurableSet_generateFrom_of_mem_supClosureproof · cited by 2
- borel_eq_generateFrom_of_subbasisproof · cited by 2
- Set.Finite.measurableSet_sUnionproof · cited by 1
- BaireMeasurableSet.sUnionproof · cited by 0