Theorems · Theorem · measure theory
MeasureTheory.ProbabilityMeasure.null_iff_toMeasure_null
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] (ν : MeasureTheory.ProbabilityMeasure Ω) (s : Set Ω), ν s = 0 ↔ ↑ν s = 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 179 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites12
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealproof · cited by 1,279
- ENNReal.toNNRealproof · cited by 165
- MeasureTheory.ProbabilityMeasurestatement and proof · cited by 127
- MeasureTheory.ProbabilityMeasure.toMeasurestatement and proof · cited by 78
- ENNReal.coe_zeroproof · cited by 13
- MeasureTheory.ProbabilityMeasure.ennreal_coeFn_eq_coeFn_toMeasureproof · cited by 8
Cited by1
Results whose statement or proof uses this declaration.
- MeasureTheory.ProbabilityMeasure.continuous_prodproof · cited by 0