Theorems · Theorem · measure theory
MeasurableSpace.measurableSet_countablePartitionSet
∀ {α : Type u_1} [m : MeasurableSpace α] [h : MeasurableSpace.CountablyGenerated α] (n : ℕ) (a : α),
MeasurableSet (MeasurableSpace.countablePartitionSet n a)- Cited by
- 5 results in Mathlib
- Foundations
- Depth 87 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.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSetstatement · cited by 3,075
- MeasurableSpace.CountablyGeneratedstatement and proof · cited by 124
- MeasurableSpace.countablePartitionSetstatement · cited by 24
- MeasurableSpace.measurableSet_countablePartitionproof · cited by 5
- MeasurableSpace.countablePartitionSet_memproof · cited by 4
Cited by5
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.meas_countablePartitionSet_le_of_fst_leproof · cited by 4
- ProbabilityTheory.Kernel.setIntegral_densityProcess_of_memproof · cited by 1
- ProbabilityTheory.Kernel.tendsto_densityProcess_atTop_empty_of_antitoneproof · cited by 1
- ProbabilityTheory.Kernel.densityProcess_fst_univproof · cited by 1