Theorems · Theorem · measure theory
Set.Countable.measurableSet
∀ {α : Type u_1} [inst : MeasurableSpace α] [MeasurableSingletonClass α] {s : Set α}, s.Countable → MeasurableSet s- Cited by
- 14 results in Mathlib
- Foundations
- Depth 63 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites8
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
- Set.Countablestatement and proof · cited by 545
- MeasurableSingletonClassstatement and proof · cited by 230
- Set.biUnion_of_singletonproof · cited by 43
- MeasurableSet.biUnionproof · cited by 25
- MeasurableSet.singletonproof · cited by 19
Cited by14
Results whose statement or proof uses this declaration.
- MeasurableSet.image_of_monotoneOnproof · cited by 4
- MeasureTheory.exists_decomposition_of_monotoneOn_hasDerivWithinAtproof · cited by 3
- MeasurableSet.setOfPred_finiteproof · cited by 3
- PMF.toMeasure_apply_eq_toOuterMeasureproof · cited by 3
- measurable_of_countableproof · cited by 3
- Meromorphic.measurableproof · cited by 2
- MeasureTheory.setIntegral_countableproof · cited by 2
- Measurable.measurable_of_countable_neproof · cited by 1
- measurable_encardproof · cited by 1
- ContinuousOn.stronglyMeasurable_of_countable_complproof · cited by 1
- MeasurableSet.image_of_monotoneOn_of_continuousOnproof · cited by 1
- MeasurableEmbedding.natCastproof · cited by 1