Theorems · Theorem · measure theory
MeasurableSet.univ
∀ {α : Type u_1} {m : MeasurableSpace α}, MeasurableSet Set.univ- Cited by
- 178 results in Mathlib
- Foundations
- Depth 58 from the axioms, rests on 645 definitions · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites5
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- Set.univstatement · cited by 3,945
- MeasurableSetstatement and proof · cited by 3,075
- Set.compl_univproof · cited by 41
- MeasurableSet.of_complproof · cited by 11
Cited by178
Results whose statement or proof uses this declaration.
- MeasureTheory.measure_toMeasurableproof · cited by 53
- MeasureTheory.Measure.restrict_apply_univproof · cited by 15
- MeasureTheory.SimpleFunc.inductionproof · cited by 14
- MeasurableEmbedding.measurableSet_rangeproof · cited by 11
- ProbabilityTheory.Kernel.measurable_rnDerivAuxproof · cited by 8
- MeasureTheory.Measure.dirac_apply_of_memproof · cited by 7
- MeasureTheory.Measure.eq_infinitePiproof · cited by 6
- MeasureTheory.Measure.restrict_toMeasurableproof · cited by 6
- MeasureTheory.withDensity_eq_iffproof · cited by 6
- MeasureTheory.Measure.MutuallySingular.compProd_of_leftproof · cited by 5
- MeasureTheory.lintegral_condLExpproof · cited by 5
- MeasureTheory.integral_condExpproof · cited by 5