Theorems · Theorem · measure theory
MeasureTheory.ProbabilityMeasure.coeFn_univ
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] (ν : MeasureTheory.ProbabilityMeasure Ω), ν Set.univ = 1- 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.
Cites8
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
- Set.univstatement · cited by 3,945
- ENNReal.toNNRealproof · cited by 165
- MeasureTheory.IsProbabilityMeasure.measure_univproof · cited by 135
- MeasureTheory.ProbabilityMeasurestatement and proof · cited by 127
Cited by4
Results whose statement or proof uses this declaration.
- MeasureTheory.ProbabilityMeasure.mass_toFiniteMeasureproof · cited by 5
- MeasureTheory.exists_measure_iUnion_gt_of_isCompact_closureproof · cited by 1
- MeasureTheory.ProbabilityMeasure.apply_le_oneproof · cited by 1
- MeasureTheory.ProbabilityMeasure.coeFn_univ_ne_zeroproof · cited by 0