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Theorems · Theorem · probability

ProbabilityTheory.IsStable.and

∀ {ι : Type u_1} {Ω : Type u_2} {E : Type u_3} {mΩ : MeasurableSpace Ω} [inst : LinearOrder ι]
  {𝓕 : MeasureTheory.Filtration ι mΩ} {p q : (ι → Ω → E) → Prop} [inst_1 : OrderBot ι] [inst_2 : Zero E],
  ProbabilityTheory.IsStable 𝓕 p → ProbabilityTheory.IsStable 𝓕 q → ProbabilityTheory.IsStable 𝓕 fun X => p X ∧ q X
Defined in
Mathlib.Probability.Process.LocalProperty
Cited by
0 results in Mathlib
Foundations
Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
LinearOrderOrderBotZero
Mathlib docsSourceLoogleLeanSearch

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MeasurableSpace · cited by 13106MeasurableSpaceLinearOrder · cited by 8572LinearOrderWithTop · cited by 3754WithTopOrderBot · cited by 1055OrderBotMeasureTheory.Filtration · cited by 425MeasureTheory.FiltrationMeasureTheory.IsStoppingTime · cited by 122MeasureTheory.IsStoppingT…ProbabilityTheory.IsStable · cited by 7ProbabilityTheory.IsStableIsStable.andCITED BYCITES

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