Theorems · Theorem · probability

ProbabilityTheory.IsGaussianProcess.comp_left

∀ {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] {F : Type u_6} [inst_5 : NormedAddCommGroup F] [inst_6 : NormedSpace ℝ F]
  [inst_7 : MeasurableSpace F] [BorelSpace F] [SecondCountableTopology F] (L : T → E →L[ℝ] F),
  ProbabilityTheory.IsGaussianProcess X P → ProbabilityTheory.IsGaussianProcess (fun t ω => (L t) (X t ω)) P

Defined in

Mathlib.Probability.Distributions.Gaussian.IsGaussianProcess.Basic

Cited by

1 results in Mathlib

Foundations

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

Assumes

NormedAddCommGroupMeasurableSpaceBorelSpaceNormedSpaceSecondCountableTopologyNormedAddCommGroupNormedSpaceMeasurableSpaceBorelSpaceSecondCountableTopology