Theorems · Inductive type · measure theory
MeasurableSingletonClass
(α : Type u_7) → [MeasurableSpace α] → Prop
A typeclass mixin for MeasurableSpaces such that each singleton is measurable.
- Cited by
- 230 results in Mathlib
- Foundations
- Depth 1 from the axioms, rests on 2 definitions · uses no axioms
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites1
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement · cited by 13,106
Cited by235
Results whose statement or proof uses this declaration.
- MeasurableSingletonClass.measurableSet_singletonstatement and proof · cited by 53
- MeasureTheory.ae_dirac_eqstatement and proof · cited by 31
- MeasureTheory.integral_diracstatement and proof · cited by 20
- MeasurableSet.singletonstatement and proof · cited by 19
- Set.Finite.measurableSetstatement and proof · cited by 15
- Set.Countable.measurableSetstatement and proof · cited by 14
- MeasureTheory.lintegral_diracstatement and proof · cited by 13
- MeasureTheory.Measure.dirac_applystatement and proof · cited by 9
- integrableOn_Icc_iff_integrableOn_Iocstatement and proof · cited by 7
- integrableOn_Ici_iff_integrableOn_Ioistatement and proof · cited by 7
- MeasureTheory.integrableOn_singletonstatement and proof · cited by 7
- MeasureTheory.Measure.map_diracstatement and proof · cited by 7
Showing the 200 most cited of 235.