Theorems · Theorem · measure theory
MeasurableSpace.countablePartitionSet_mem
∀ {α : Type u_1} [m : MeasurableSpace α] [h : MeasurableSpace.CountablyGenerated α] (n : ℕ) (a : α),
MeasurableSpace.countablePartitionSet n a ∈ MeasurableSpace.countablePartition α n- Cited by
- 4 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 · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasurableSpace.CountablyGeneratedstatement and proof · cited by 124
- MeasurableSpace.countablePartitionSetstatement · cited by 24
- MeasurableSpace.countablePartitionstatement · cited by 20
- Set.enumerateCountableproof · cited by 15
- MeasurableSpace.countable_countableGeneratingSetproof · cited by 13
- memPartitionSet_memproof · cited by 5
Cited by4
Results whose statement or proof uses this declaration.
- MeasurableSpace.measurableSet_countablePartitionSetproof · cited by 5
- ProbabilityTheory.measurable_countablePartitionSet_subtypestatement · cited by 2
- ProbabilityTheory.Kernel.densityProcess_fst_univ_aeproof · cited by 2