Theorems · Theorem · measure theory
MeasurableSpace.iSup_generateFrom
∀ {α : Type u_1} {ι : Sort u_6} (s : ι → Set (Set α)),
⨆ i, MeasurableSpace.generateFrom (s i) = MeasurableSpace.generateFrom (⋃ i, s i)- Cited by
- 2 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.
Cites8
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 · cited by 13,106
- Set.iUnionstatement · cited by 2,483
- iSupstatement · cited by 2,415
- MeasurableSpace.generateFromstatement · cited by 172
- GaloisInsertion.gcproof · cited by 137
- GaloisConnection.l_iSupproof · cited by 78
- MeasurableSpace.giGenerateFromproof · cited by 4
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.iSup_countableFiltrationproof · cited by 1
- ProbabilityTheory.iSup_partitionFiltration_eq_generateFrom_rangeproof · cited by 1