Theorems · Theorem · probability

ProbabilityTheory.IsGaussianProcess.comp_right

∀ {S : Type u_1} {T : Type u_2} {Ω : Type u_3} {E : Type u_4} {mΩ : MeasurableSpace Ω} {P : MeasureTheory.Measure Ω}
  {X : T → Ω → E} [inst : NormedAddCommGroup E] [inst_1 : MeasurableSpace E] [BorelSpace E] [inst_3 : NormedSpace ℝ E]
  [SecondCountableTopology E],
  ProbabilityTheory.IsGaussianProcess X P → ∀ (f : S → T), ProbabilityTheory.IsGaussianProcess (X ∘ f) P

Defined in

Mathlib.Probability.Distributions.Gaussian.IsGaussianProcess.Basic

Cited by

3 results in Mathlib

Foundations

Depth 309 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupMeasurableSpaceBorelSpaceNormedSpaceSecondCountableTopology