{J : Type w} →
  {C : Type u} →
    [inst : CategoryTheory.Category.{v, u} C] →
      (F : CategoryTheory.Functor (CategoryTheory.Limits.WalkingParallelFamily J) C) →
        F ≅ CategoryTheory.Limits.parallelFamily fun j => F.map (CategoryTheory.Limits.WalkingParallelFamily.Hom.line j)