Theorems · Theorem · measure theory
MeasureTheory.ennrealPreVariation_apply
∀ {X : Type u_1} [inst : MeasurableSpace X] (f : Set X → ENNReal) (hf : MeasureTheory.IsSigmaSubadditiveSetFun f)
(hf' : f ∅ = 0) (s : Set X), (MeasureTheory.ennrealPreVariation f hf hf') s = MeasureTheory.preVariationFun f s- Cited by
- 0 results in Mathlib
- Foundations
- Depth 134 from the axioms · uses propext, Classical.choice, Quot.sound
- Assumes
- MeasurableSpace
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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 and proof · cited by 53,352
- MeasurableSpacestatement and proof · cited by 13,106
- ENNRealstatement and proof · cited by 9,879
- MeasureTheory.VectorMeasurestatement · cited by 451
- MeasureTheory.preVariationFunstatement · cited by 17
- MeasureTheory.ennrealPreVariationstatement · cited by 10
- MeasureTheory.IsSigmaSubadditiveSetFunstatement and proof · cited by 7
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