Theorems · Definition · measure theory
MeasureTheory.FiniteMeasure.normalize
{Ω : Type u_1} →
[Nonempty Ω] → {m0 : MeasurableSpace Ω} → MeasureTheory.FiniteMeasure Ω → MeasureTheory.ProbabilityMeasure ΩNormalize a finite measure so that it becomes a probability measure, i.e., divide by the total mass.
- Cited by
- 15 results in Mathlib
- Foundations
- Depth 180 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- Nonempty
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites7
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
- Nonempty.someproof · cited by 340
- MeasureTheory.Measure.diracproof · cited by 210
- MeasureTheory.FiniteMeasurestatement and proof · cited by 150
- MeasureTheory.ProbabilityMeasurestatement · cited by 127
- MeasureTheory.FiniteMeasure.toMeasureproof · cited by 87
- MeasureTheory.FiniteMeasure.massproof · cited by 46
Cited by15
Results whose statement or proof uses this declaration.
- MeasureTheory.FiniteMeasure.testAgainstNN_eq_mass_mulstatement and proof · cited by 2
- MeasureTheory.FiniteMeasure.normalize_eq_of_nonzerostatement and proof · cited by 2
- MeasureTheory.FiniteMeasure.self_eq_mass_mul_normalizestatement and proof · cited by 2
- MeasureTheory.FiniteMeasure.self_eq_mass_smul_normalizestatement and proof · cited by 2
- MeasureTheory.FiniteMeasure.tendsto_of_tendsto_normalize_testAgainstNN_of_tendsto_massstatement and proof · cited by 1
- MeasureTheory.FiniteMeasure.tendsto_testAgainstNN_of_tendsto_normalize_testAgainstNN_of_tendsto_massstatement and proof · cited by 1
- MeasureTheory.FiniteMeasure.normalize_testAgainstNNstatement and proof · cited by 1
- MeasureTheory.FiniteMeasure.toMeasure_normalize_eq_of_nonzerostatement and proof · cited by 1
- MeasureTheory.FiniteMeasure.tendsto_normalize_of_tendstostatement · cited by 1
- MeasureTheory.FiniteMeasure.tendsto_normalize_testAgainstNN_of_tendstostatement and proof · cited by 1
- MeasureTheory.FiniteMeasure.average_eq_integral_normalizestatement · cited by 0
- MeasureTheory.FiniteMeasure.normalize_eq_inv_mass_smul_of_nonzerostatement and proof · cited by 0