{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Limits.HasZeroObject C] →
      [inst_2 : CategoryTheory.Limits.HasZeroMorphisms C] →
        {motive : CategoryTheory.HasProjectiveResolutions C → Sort u_1} →
          (t : CategoryTheory.HasProjectiveResolutions C) →
            ((out : ∀ (Z : C), CategoryTheory.HasProjectiveResolution Z) → motive ⋯) → motive t