Theorems · Theorem · probability
ProbabilityTheory.measurable_memPartitionSet_subtype
∀ {α : Type u_1} [m : MeasurableSpace α] {t : ℕ → Set α} (ht : ∀ (n : ℕ), MeasurableSet (t n)) (n : ℕ)
(m_1 : MeasurableSpace ↑(memPartition t n)), Measurable fun a => ⟨memPartitionSet t n a, ⋯⟩- Cited by
- 2 results in Mathlib
- Foundations
- Depth 87 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites16
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
- Set.Elemstatement and proof · cited by 7,166
- Set.ofPredproof · cited by 6,101
- Set.preimageproof · cited by 4,946
- MeasurableSetstatement and proof · cited by 3,075
- Set.extproof · cited by 2,266
- Measurablestatement · cited by 1,499
- MeasureTheory.Filtration.seqstatement and proof · cited by 184
- memPartitionstatement and proof · cited by 20
- memPartitionSetstatement and proof · cited by 12
- ProbabilityTheory.partitionFiltrationstatement and proof · cited by 7
Cited by2
Results whose statement or proof uses this declaration.
- ProbabilityTheory.measurable_countablePartitionSet_subtypeproof · cited by 2
- ProbabilityTheory.measurable_partitionFiltration_memPartitionSetproof · cited by 1