Theorems · Theorem · measure theory
MeasurableSpace.disjoint_countablePartition
∀ {α : Type u_1} [m : MeasurableSpace α] [h : MeasurableSpace.CountablyGenerated α] {n : ℕ} {s t : Set α},
s ∈ MeasurableSpace.countablePartition α n → t ∈ MeasurableSpace.countablePartition α n → s ≠ t → Disjoint s t- Cited by
- 2 results in Mathlib
- Foundations
- Depth 82 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Disjointstatement · cited by 2,201
- MeasurableSpace.CountablyGeneratedstatement and proof · cited by 124
- MeasurableSpace.countablePartitionstatement and proof · cited by 20
- Set.enumerateCountableproof · cited by 15
- MeasurableSpace.countable_countableGeneratingSetproof · cited by 13
- disjoint_memPartitionproof · cited by 3
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.Kernel.setIntegral_densityProcessproof · cited by 4
- ProbabilityTheory.Kernel.densityProcess_fst_univ_aeproof · cited by 2