Theorems · Theorem · probability
MeasureTheory.Measure.toPMF_toMeasure
∀ {α : Type u_1} [inst : Countable α] [inst_1 : MeasurableSpace α] [inst_2 : MeasurableSingletonClass α]
(μ : MeasureTheory.Measure α) [inst_3 : MeasureTheory.IsProbabilityMeasure μ], μ.toPMF.toMeasure = μ- Cited by
- 2 results in Mathlib
- Foundations
- Depth 205 from the axioms · uses propext, Classical.choice, Quot.sound
Around this declaration
Dashed lines are statement dependencies; solid lines are citations in proofs.
Cites17
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coeproof · cited by 62,936
- Setproof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealproof · cited by 9,879
- MeasurableSetproof · cited by 3,075
- SummationFilter.unconditionalproof · cited by 2,068
- tsumproof · cited by 1,148
- Set.indicatorproof · cited by 723
- Countablestatement and proof · cited by 633
- MeasureTheory.IsProbabilityMeasurestatement and proof · cited by 392
- MeasureTheory.Measure.extproof · cited by 308
Cited by2
Results whose statement or proof uses this declaration.
- PMF.toPMF_eq_iff_toMeasure_eqproof · cited by 1
- PMF.toMeasure_eq_iff_eq_toPMFproof · cited by 0