Theorems · Theorem · measure theory
MeasurableSpace.generateFrom_iUnion_memPartition
∀ {α : Type u_1} (t : ℕ → Set α),
MeasurableSpace.generateFrom (⋃ n, memPartition t n) = MeasurableSpace.generateFrom (Set.range t)- 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.
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 · cited by 13,106
- Set.rangestatement and proof · cited by 4,705
- MeasurableSetproof · cited by 3,075
- Set.iUnionstatement and proof · cited by 2,483
- le_antisymmproof · cited by 2,068
- MeasurableSet.univproof · cited by 178
- MeasurableSpace.generateFromstatement · cited by 172
- MeasurableSet.interproof · cited by 167
- Set.subset_iUnionproof · cited by 81
- MeasurableSet.diffproof · cited by 53
- MeasurableSpace.generateFrom_leproof · cited by 49
Cited by4
Results whose statement or proof uses this declaration.
- MeasurableSpace.generateFrom_iUnion_countablePartitionproof · cited by 1
- MeasurableSpace.generateFrom_iUnion_memPartition_leproof · cited by 1
- ProbabilityTheory.iSup_partitionFiltration_eq_generateFrom_rangeproof · cited by 1
- MeasurableSpace.generateFrom_memPartition_le_rangeproof · cited by 0