{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {motive : CategoryTheory.Limits.HasStrictInitialObjects C → Sort u_1} →
      (t : CategoryTheory.Limits.HasStrictInitialObjects C) →
        ((out : ∀ {I A : C} (f : A ⟶ I) (a : CategoryTheory.Limits.IsInitial I), CategoryTheory.IsIso f) → motive ⋯) →
          motive t