Theorems · Theorem · probability

ProbabilityTheory.measurable_countablePartitionSet_subtype

∀ {α : Type u_1} [inst : MeasurableSpace α] [inst_1 : MeasurableSpace.CountablyGenerated α] (n : ℕ)
  (m : MeasurableSpace ↑(MeasurableSpace.countablePartition α n)),
  Measurable fun a => ⟨MeasurableSpace.countablePartitionSet n a, ⋯⟩

Defined in: Mathlib.Probability.Process.PartitionFiltration
Cited by: 2 results in Mathlib
Foundations: Depth 88 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes: MeasurableSpace MeasurableSpace.CountablyGenerated

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Cites12

Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.

Setstatement · cited by 53,352
MeasurableSpacestatement and proof · cited by 13,106
Set.Elemstatement and proof · cited by 7,166
Measurablestatement · cited by 1,499
MeasureTheory.Filtration.seqstatement · cited by 184
MeasurableSpace.CountablyGeneratedstatement and proof · cited by 124
MeasurableSpace.countablePartitionSetstatement · cited by 24
ProbabilityTheory.countableFiltrationstatement · cited by 23
MeasurableSpace.countablePartitionstatement and proof · cited by 20
MeasurableSpace.countablePartitionSet_memstatement · cited by 4
MeasurableSpace.measurableSet_enumerateCountable_countableGeneratingSetproof · cited by 2
ProbabilityTheory.measurable_memPartitionSet_subtypeproof · cited by 2

Cited by2

Results whose statement or proof uses this declaration.

ProbabilityTheory.Kernel.measurable_densityProcess_countableFiltration_auxproof · cited by 2
ProbabilityTheory.measurable_countableFiltration_countablePartitionSetproof · cited by 1