Theorems · Theorem · probability

MeasureTheory.Filtration.natural.congr_simp

∀ {Ω : Type u_1} {ι : Type u_2} {m : MeasurableSpace Ω} {β : ι → Type u_3} [inst : (i : ι) → TopologicalSpace (β i)]
  [inst_1 : ∀ (i : ι), TopologicalSpace.MetrizableSpace (β i)] [mβ : (i : ι) → MeasurableSpace (β i)]
  [inst_2 : ∀ (i : ι), BorelSpace (β i)] [inst_3 : Preorder ι] (u u_1 : (i : ι) → Ω → β i) (e_u : u = u_1)
  (hum : ∀ (i : ι), MeasureTheory.StronglyMeasurable (u i)),
  MeasureTheory.Filtration.natural u hum = MeasureTheory.Filtration.natural u_1 ⋯

Defined in

Mathlib.Probability.Process.Filtration

Cited by

0 results in Mathlib

Foundations

Depth 166 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

TopologicalSpaceTopologicalSpace.MetrizableSpaceMeasurableSpaceBorelSpacePreorder