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Theorems · Definition · measure theory

MeasurableSpace.generateFrom

{α : Type u_1} → Set (Set α) → MeasurableSpace α

Construct the smallest measure space containing a collection of basic sets

Defined in
Mathlib.MeasureTheory.MeasurableSpace.Defs
Cited by
172 results in Mathlib
Foundations
Depth 7 from the axioms, rests on 28 definitions · uses no axioms
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borel · cited by 57borelMeasurableSpace.generateFrom_le · cited by 49MeasurableSpace.generateF…MeasurableSpace.measurableSet_generateFrom · cited by 46MeasurableSpace.measurabl…ProbabilityTheory.countableFiltration · cited by 23ProbabilityTheory.countab…MeasurableSpace.induction_on_inter · cited by 21MeasurableSpace.induction…ProbabilityTheory.Kernel.IndepSet · cited by 18Kernel.IndepSetProbabilityTheory.Kernel.iIndepSet · cited by 16Kernel.iIndepSetMeasurableSpace.generateFrom_mono · cited by 15MeasurableSpace.generateF…generateFrom_prod · cited by 11generateFrom_prodMeasurableSpace.generateFrom_measurableSet · cited by 11MeasurableSpace.generateF…MeasureTheory.Filtration.predictable · cited by 10Filtration.predictableProbabilityTheory.Kernel.IndepSets.indep · cited by 9IndepSets.indepProbabilityTheory.Kernel.iIndepFun.indepFun_finset · cited by 8iIndepFun.indepFun_finsetMeasurableSpace.comap_generateFrom · cited by 7MeasurableSpace.comap_gen…ProbabilityTheory.partitionFiltration · cited by 7ProbabilityTheory.partiti…Set · cited by 53352SetMeasurableSpace · cited by 13106MeasurableSpaceMeasurableSpace.GenerateMeasurable · cited by 11MeasurableSpace.GenerateM…MeasurableSpace.generateFromCITED BYCITES

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