Theorems · Theorem · measure theory
MeasurableSpace.generateFrom_iUnion_countablePartition
∀ (α : Type u_3) [m : MeasurableSpace α] [inst : MeasurableSpace.CountablyGenerated α], MeasurableSpace.generateFrom (⋃ n, MeasurableSpace.countablePartition α n) = m
- Cited by
- 1 results in Mathlib
- Foundations
- Depth 83 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
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.iUnionstatement and proof · cited by 2,483
- MeasurableSpace.generateFromstatement and proof · cited by 172
- MeasurableSpace.CountablyGeneratedstatement and proof · cited by 124
- MeasurableSpace.countablePartitionstatement · cited by 20
- Set.enumerateCountableproof · cited by 15
- MeasurableSpace.countable_countableGeneratingSetproof · cited by 13
- MeasurableSpace.generateFrom_iUnion_memPartitionproof · cited by 4
- MeasurableSpace.empty_mem_countableGeneratingSetproof · cited by 4
- MeasurableSpace.generateFrom_countableGeneratingSetproof · cited by 4
- Set.range_enumerateCountable_of_memproof · cited by 3
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityTheory.iSup_countableFiltrationproof · cited by 1