Theorems · Theorem · measure theory
MeasurableSpace.generateFrom_le
∀ {α : Type u_1} {s : Set (Set α)} {m : MeasurableSpace α},
(∀ t ∈ s, MeasurableSet t) → MeasurableSpace.generateFrom s ≤ m- Cited by
- 49 results in Mathlib
- Foundations
- Depth 62 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites9
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
- MeasurableSetstatement and proof · cited by 3,075
- MeasurableSet.complproof · cited by 172
- MeasurableSpace.generateFromstatement · cited by 172
- MeasurableSet.iUnionproof · cited by 81
- MeasurableSet.emptyproof · cited by 58
- MeasurableSpace.GenerateMeasurableproof · cited by 11
- MeasurableSpace.GenerateMeasurable.recOnproof · cited by 1
Cited by49
Results whose statement or proof uses this declaration.
- MeasurableSpace.generateFrom_measurableSetproof · cited by 11
- MeasurableSpace.comap_generateFromproof · cited by 7
- measurable_generateFromproof · cited by 6
- borel_eq_generateFrom_Iioproof · cited by 6
- MeasureTheory.generateFrom_measurableCylindersproof · cited by 5
- ProbabilityTheory.Kernel.iIndepSet.indep_generateFrom_of_disjointproof · cited by 4
- MeasurableSpace.generateFrom_iUnion_memPartitionproof · cited by 4
- MeasurableSpace.generateFrom_singletonproof · cited by 4
- borel_eq_generateFrom_Iicproof · cited by 4
- Continuous.borel_measurableproof · cited by 3
- Dense.borel_eq_generateFrom_Ico_mem_auxproof · cited by 3
- ProbabilityTheory.Kernel.indepSet_iff_indepSets_singletonproof · cited by 3