Theorems · Definition · measure theory
MeasurableSpace.countablePartitionSet
{α : Type u_1} → [m : MeasurableSpace α] → [h : MeasurableSpace.CountablyGenerated α] → ℕ → α → Set αThe set in countablePartition α n to which a : α belongs.
- Cited by
- 24 results in Mathlib
- Foundations
- Depth 81 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- MeasurableSpace.CountablyGeneratedstatement and proof · cited by 124
- Set.enumerateCountableproof · cited by 15
- MeasurableSpace.countable_countableGeneratingSetproof · cited by 13
- memPartitionSetproof · cited by 12
Cited by25
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.densityProcessproof · cited by 37
- MeasurableSpace.measurableSet_countablePartitionSetstatement · cited by 5
- ProbabilityTheory.Kernel.densityProcess_le_oneproof · cited by 5
- MeasurableSpace.countablePartitionSet_memstatement · cited by 4
- ProbabilityTheory.Kernel.meas_countablePartitionSet_le_of_fst_lestatement and proof · cited by 4
- ProbabilityTheory.measurable_countablePartitionSet_subtypestatement · cited by 2
- ProbabilityTheory.Kernel.densityProcess_fst_univ_aeproof · cited by 2
- ProbabilityTheory.Kernel.measurable_densityProcess_auxstatement · cited by 2
- ProbabilityTheory.Kernel.measurable_densityProcess_countableFiltration_auxstatement · cited by 2
- ProbabilityTheory.measurable_countableFiltration_countablePartitionSetstatement · cited by 1
- ProbabilityTheory.Kernel.setIntegral_densityProcess_of_memproof · cited by 1
- ProbabilityTheory.Kernel.tendsto_densityProcess_atTop_empty_of_antitoneproof · cited by 1