{Ω : Type u_1} →
  {E : Type u_2} →
    {mΩ : MeasurableSpace Ω} →
      [inst : TopologicalSpace E] →
        [inst_1 : AddCommMonoid E] →
          [inst_2 : Module ℝ E] →
            [mE : MeasurableSpace E] →
              {X : Ω → E} →
                {P : MeasureTheory.Measure Ω} →
                  {motive : ProbabilityTheory.HasGaussianLaw X P → Sort u} →
                    (t : ProbabilityTheory.HasGaussianLaw X P) →
                      ((isGaussian_map : ProbabilityTheory.IsGaussian (MeasureTheory.Measure.map X P)) → motive ⋯) →
                        motive t