Theorems · Theorem · measure theory
measurableSet_iSup_of_mem_piiUnionInter
∀ {α : Type u_3} {ι : Type u_4} (m : ι → MeasurableSpace α) (S : Set ι),
∀ t ∈ piiUnionInter (fun n => {s | MeasurableSet s}) S, MeasurableSet t- Defined in
- Mathlib.MeasureTheory.PiSystem
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 68 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites11
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
- Finsetproof · cited by 13,712
- MeasurableSpacestatement and proof · cited by 13,106
- SetLike.coeproof · cited by 8,199
- Set.ofPredstatement and proof · cited by 6,101
- MeasurableSetstatement and proof · cited by 3,075
- iSupstatement and proof · cited by 2,415
- Set.iInterproof · cited by 1,084
- le_iSup₂proof · cited by 56
- piiUnionInterstatement and proof · cited by 20
- Finset.measurableSet_biInterproof · cited by 6
Cited by1
Results whose statement or proof uses this declaration.
- generateFrom_piiUnionInter_measurableSetproof · cited by 1