Theorems · Theorem · measure theory
MeasureTheory.ProbabilityMeasure.toFiniteMeasure_nonzero
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] (μ : MeasureTheory.ProbabilityMeasure Ω), μ.toFiniteMeasure ≠ 0- Cited by
- 1 results in Mathlib
- Foundations
- Depth 201 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.
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.FiniteMeasurestatement · cited by 150
- MeasureTheory.ProbabilityMeasurestatement and proof · cited by 127
- MeasureTheory.ProbabilityMeasure.toFiniteMeasurestatement and proof · cited by 26
- MeasureTheory.ProbabilityMeasure.mass_toFiniteMeasureproof · cited by 5
Cited by1
Results whose statement or proof uses this declaration.
- ProbabilityMeasure.toFiniteMeasure_normalize_eq_selfproof · cited by 0