{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {motive : CategoryTheory.Limits.HasFiniteLimits C → Sort u_1} →
      (t : CategoryTheory.Limits.HasFiniteLimits C) →
        ((out :
              ∀ (J : Type) [𝒥 : CategoryTheory.SmallCategory J] [CategoryTheory.FinCategory J],
                CategoryTheory.Limits.HasLimitsOfShape J C) →
            motive ⋯) →
          motive t