{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {motive : CategoryTheory.EssentiallySmall.{w, v, u} C → Sort u_1} →
      (t : CategoryTheory.EssentiallySmall.{w, v, u} C) →
        ((equiv_smallCategory : ∃ S x, Nonempty (C ≌ S)) → motive ⋯) → motive t