Theorems · Definition · probability

ProbabilityTheory.Locally.localSeq

{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} →
              {X : ι → Ω → E} →
                {p : (ι → Ω → E) → Prop} →
                  [inst_1 : OrderBot ι] →
                    [inst_2 : TopologicalSpace ι] →
                      [inst_3 : OrderTopology ι] →
                        [inst_4 : Zero E] → ProbabilityTheory.Locally p 𝓕 X P → ℕ → Ω → WithTop ι

A localizing sequence, witness of the local property of the stochastic process.

Defined in

Mathlib.Probability.Process.LocalProperty

Cited by

7 results in Mathlib

Foundations

Depth 23 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

LinearOrderOrderBotTopologicalSpaceOrderTopologyZero