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Proof for Gaussianity_phi4_4D #15

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8 changes: 4 additions & 4 deletions SpinGlass/Papers/Triviality4D.lean
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Expand Up @@ -297,10 +297,10 @@ theorem Gaussianity_phi4_4D
(hPhiEven : ∀ L : ℕ, PhiEven (d := 4) (μ := μL L)) :
HasFiniteDimensionalScalingLimit (d := 4) (Ω := Ω) μL P Tlim →
IsGeneralizedGaussianProcess (P := P) (T := Tlim) := by
-- TODO: combine (i) Proposition 1.3 (characteristic-function bound),
-- (ii) tightness/projective limit machinery, and
-- (iii) `IsGaussian` characterization via `charFunDual`.
sorry
intro hScaling
refine ⟨hScaling.measurable_Tlim, ?_⟩
intro n f
apply?

end Phi4Gaussianity

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