Theorems · Theorem · probability

ProbabilityTheory.IsStable.locally

∀ {ι : Type u_1} {Ω : Type u_2} {E : Type u_3} {mΩ : MeasurableSpace Ω} {P : MeasureTheory.Measure Ω}
  [inst : LinearOrder ι] {𝓕 : MeasureTheory.Filtration ι mΩ} {p : (ι → Ω → E) → Prop} [inst_1 : OrderBot ι]
  [inst_2 : Zero E] [inst_3 : TopologicalSpace ι] [inst_4 : OrderTopology ι],
  ProbabilityTheory.IsStable 𝓕 p → ProbabilityTheory.IsStable 𝓕 fun Y => ProbabilityTheory.Locally p 𝓕 Y P

Defined in

Mathlib.Probability.Process.LocalProperty

Cited by

0 results in Mathlib

Foundations

Depth 26 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderOrderBotZeroTopologicalSpaceOrderTopology