Theorems · Theorem · probability
MeasureTheory.SigmaFiniteFiltration.SigmaFinite
∀ {Ω : Type u_1} {ι : Type u_2} {m : MeasurableSpace Ω} {inst : Preorder ι} {μ : MeasureTheory.Measure Ω}
{f : MeasureTheory.Filtration ι m} [self : MeasureTheory.SigmaFiniteFiltration μ f] (i : ι),
MeasureTheory.SigmaFinite (μ.trim ⋯)- Defined in
- Mathlib.Probability.Process.Filtration
- Cited by
- 0 results in Mathlib
- Foundations
- Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound
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Cites9
Mathlib declarations this one mentions in its statement or cites explicitly in its proof. Plumbing is filtered out.
- MeasurableSpacestatement and proof · cited by 13,106
- MeasureTheory.Measurestatement and proof · cited by 10,939
- Preorderstatement and proof · cited by 7,952
- MeasureTheory.SigmaFinitestatement · cited by 526
- MeasureTheory.Filtrationstatement and proof · cited by 425
- MeasureTheory.Measure.trimstatement · cited by 286
- MeasureTheory.Filtration.seqstatement · cited by 184
- MeasureTheory.Filtration.lestatement · cited by 65
- MeasureTheory.SigmaFiniteFiltrationstatement and proof · cited by 35
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