Theorems · Theorem · measure theory
MeasurableSpace.generateFrom_measurableSet
∀ {α : Type u_1} [inst : MeasurableSpace α], MeasurableSpace.generateFrom {s | MeasurableSet s} = inst- Cited by
- 11 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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 and proof · cited by 13,106
- Set.ofPredstatement · cited by 6,101
- MeasurableSetstatement and proof · cited by 3,075
- le_antisymmproof · cited by 2,068
- MeasurableSpace.generateFromstatement · cited by 172
- MeasurableSpace.generateFrom_leproof · cited by 49
- MeasurableSpace.measurableSet_generateFromproof · cited by 46
Cited by11
Results whose statement or proof uses this declaration.
- MeasureTheory.Measure.pi_eqproof · cited by 19
- MeasureTheory.Measure.prod_eqproof · cited by 12
- generateFrom_prodproof · cited by 11
- ProbabilityTheory.Kernel.indep_iSup_of_directed_leproof · cited by 5
- ProbabilityTheory.Kernel.IndepFun.process_indepFunproof · cited by 4
- MeasurableSpace.comap_eq_generateFromproof · cited by 3
- MeasureTheory.Measure.measurePreserving_homeomorphUnitSphereProdproof · cited by 2
- generateFrom_piproof · cited by 2
- generateFrom_piiUnionInter_measurableSetproof · cited by 1
- MeasureTheory.Measure.prodAssoc_prodproof · cited by 1
- MeasureTheory.Measure.ext_prod₃proof · cited by 1