Theorems · Theorem · measure theory
MeasureTheory.ProbabilityMeasure.coeFn_comp_toFiniteMeasure_eq_coeFn
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] (ν : MeasureTheory.ProbabilityMeasure Ω), ⇑ν.toFiniteMeasure = ⇑ν- Cited by
- 4 results in Mathlib
- Foundations
- Depth 177 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.
Cites7
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement · cited by 62,936
- Setstatement · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- NNRealstatement · cited by 4,310
- MeasureTheory.FiniteMeasurestatement · cited by 150
- MeasureTheory.ProbabilityMeasurestatement and proof · cited by 127
- MeasureTheory.ProbabilityMeasure.toFiniteMeasurestatement · cited by 26
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.ProbabilityMeasure.ennreal_coeFn_eq_coeFn_toMeasureproof · cited by 8
- MeasureTheory.ProbabilityMeasure.apply_monoproof · cited by 5
- MeasureTheory.FiniteMeasure.self_eq_mass_smul_normalizeproof · cited by 2
- MeasureTheory.ProbabilityMeasure.apply_union_leproof · cited by 0