Theorems · Theorem · measure theory
MeasurableSpace.measurableSet_countablePartition
∀ {α : Type u_1} [m : MeasurableSpace α] [h : MeasurableSpace.CountablyGenerated α] (n : ℕ) {s : Set α},
s ∈ MeasurableSpace.countablePartition α n → MeasurableSet s- Cited by
- 5 results in Mathlib
- Foundations
- Depth 86 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- MeasurableSetstatement · cited by 3,075
- MeasurableSpace.CountablyGeneratedstatement and proof · cited by 124
- MeasurableSpace.measurableSet_generateFromproof · cited by 46
- MeasurableSpace.countablePartitionstatement and proof · cited by 20
- MeasurableSpace.generateFrom_countablePartition_leproof · cited by 1
Cited by5
Results whose statement or proof uses this declaration.
- MeasurableSpace.measurableSet_countablePartitionSetproof · cited by 5
- ProbabilityTheory.Kernel.setIntegral_densityProcessproof · cited by 4
- ProbabilityTheory.Kernel.densityProcess_fst_univ_aeproof · cited by 2
- ProbabilityTheory.Kernel.setIntegral_densityProcess_of_memproof · cited by 1