Theorems · Theorem · measure theory
MeasureTheory.IsProbabilityMeasure.ne_zero
∀ {α : Type u_1} {m0 : MeasurableSpace α} (μ : MeasureTheory.Measure α) [MeasureTheory.IsProbabilityMeasure μ], μ ≠ 0- Cited by
- 17 results in Mathlib
- Foundations
- Depth 198 from the axioms · 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
- MeasureTheory.Measurestatement and proof · cited by 10,939
- MeasureTheory.IsProbabilityMeasurestatement and proof · cited by 392
- MeasureTheory.IsProbabilityMeasure.measure_univproof · cited by 135
- MeasureTheory.Measure.measure_univ_eq_zeroproof · cited by 26
Cited by17
Results whose statement or proof uses this declaration.
- ProbabilityTheory.HasGaussianLaw.aemeasurableproof · cited by 11
- ProbabilityTheory.mgf_posproof · cited by 3
- MeasureTheory.Measure.isProbabilityMeasure_of_mapproof · cited by 2
- ProbabilityTheory.IsGaussianProcess.aemeasurableproof · cited by 1
- MeasureTheory.exists_lintegral_leproof · cited by 1
- MeasureTheory.measure_le_integral_posproof · cited by 0
- MeasureTheory.measure_le_lintegral_posproof · cited by 0
- ProbabilityTheory.mgf_diracproof · cited by 0
- MeasureTheory.measure_lintegral_le_posproof · cited by 0
- MeasureTheory.exists_notMem_null_integral_leproof · cited by 0
- MeasureTheory.exists_notMem_null_le_integralproof · cited by 0
- MeasureTheory.exists_notMem_null_le_lintegralproof · cited by 0