Theorems · Theorem · measure theory
MeasurableSpace.measurableSet_generateFrom
∀ {α : Type u_1} {s : Set (Set α)} {t : Set α}, t ∈ s → MeasurableSet t- Cited by
- 46 results in Mathlib
- Foundations
- Depth 8 from the axioms · uses no axioms
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites3
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
- MeasurableSetstatement · cited by 3,075
- MeasurableSpace.generateFromstatement · cited by 172
Cited by46
Results whose statement or proof uses this declaration.
- MeasurableSpace.generateFrom_measurableSetproof · cited by 11
- ProbabilityTheory.Kernel.IndepSets.indepproof · cited by 9
- MeasurableSpace.measurableSet_countablePartitionproof · cited by 5
- ProbabilityTheory.Kernel.Indep.indepSetsproof · cited by 5
- ProbabilityTheory.Kernel.iIndep.iIndepSetsproof · cited by 5
- ProbabilityTheory.Kernel.iIndepSet.indep_generateFrom_of_disjointproof · cited by 4
- MeasurableSpace.generateFrom_iUnion_memPartitionproof · cited by 4
- borel_eq_generateFrom_Iicproof · cited by 4
- MeasureTheory.AddContent.measure_eqproof · cited by 4
- MeasurableSpace.measurableSet_countableGeneratingSetproof · cited by 2
- ProbabilityTheory.Kernel.measure_eq_zero_or_one_or_top_of_indepSet_selfproof · cited by 2
- MeasurableSpace.measurableSet_succ_memPartitionproof · cited by 2