Theorems · Theorem · measure theory
MeasureTheory.ProbabilityMeasure.ennreal_coeFn_eq_coeFn_toMeasure
∀ {Ω : Type u_1} [inst : MeasurableSpace Ω] (ν : MeasureTheory.ProbabilityMeasure Ω) (s : Set Ω), ↑(ν s) = ↑ν s- Cited by
- 8 results in Mathlib
- Foundations
- Depth 178 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.
Cites13
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- DFunLike.coestatement and proof · cited by 62,936
- Setstatement and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- ENNRealstatement and proof · cited by 9,879
- NNRealstatement and proof · cited by 4,310
- ENNReal.ofNNRealstatement and proof · cited by 1,279
- MeasureTheory.ProbabilityMeasurestatement and proof · cited by 127
- MeasureTheory.ProbabilityMeasure.toMeasurestatement and proof · cited by 78
- MeasureTheory.ProbabilityMeasure.toFiniteMeasureproof · cited by 26
- MeasureTheory.FiniteMeasure.ennreal_coeFn_eq_coeFn_toMeasureproof · cited by 11
- MeasureTheory.ProbabilityMeasure.coeFn_comp_toFiniteMeasure_eq_coeFnproof · cited by 4
Cited by8
Results whose statement or proof uses this declaration.
- isCompact_closure_of_isTightMeasureSetproof · cited by 1
- MeasureTheory.tendsto_of_forall_isClosed_limsup_le_natproof · cited by 1
- MeasureTheory.tendsto_of_forall_isOpen_le_liminf_natproof · cited by 1
- MeasureTheory.ProbabilityMeasure.null_iff_toMeasure_nullproof · cited by 1
- MeasureTheory.ProbabilityMeasure.eq_of_forall_apply_eqproof · cited by 1
- MeasureTheory.FiniteMeasure.toMeasure_normalize_eq_of_nonzeroproof · cited by 1
- MeasureTheory.tendsto_of_forall_isCompact_of_isTightMeasureSetproof · cited by 0
- MeasureTheory.ProbabilityMeasure.apply_iUnion_leproof · cited by 0