Theorems · Theorem · measure theory
MeasurableSet.disjointed
∀ {α : Type u_1} {mα : MeasurableSpace α} {f : ℕ → Set α},
(∀ (i : ℕ), MeasurableSet (f i)) → ∀ (n : ℕ), MeasurableSet (disjointed f n)- Cited by
- 16 results in Mathlib
- Foundations
- Depth 65 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites6
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
- disjointedstatement · cited by 64
- MeasurableSet.diffproof · cited by 53
- disjointedRecproof · cited by 3
Cited by16
Results whose statement or proof uses this declaration.
- exists_partition_approximatesLinearOn_of_hasFDerivWithinAtproof · cited by 5
- Directed.measure_iUnionproof · cited by 5
- MeasureTheory.VectorMeasure.tendsto_vectorMeasure_iUnion_atTop_natproof · cited by 3
- MeasureTheory.VectorMeasure.restrict_le_restrict_iUnionproof · cited by 3
- isCompact_setOfPred_finiteMeasure_mass_le_compl_isCompact_leproof · cited by 2
- measurable_findproof · cited by 2
- MeasureTheory.extend_iUnion_le_tsum_natproof · cited by 1
- MeasureTheory.lintegral_abs_det_fderiv_le_addHaar_imageproof · cited by 1
- MeasureTheory.Measure.measure_isHaarMeasure_eq_smul_of_isEverywherePosproof · cited by 1
- MeasureTheory.Measure.measure_toMeasurable_inter_of_coverproof · cited by 1
- MeasureTheory.SeparableSpace.exists_measurable_partition_diam_leproof · cited by 1