{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    {J : CategoryTheory.Precoverage C} →
      {S : C} →
        (E : J.ZeroHypercover S) → [inst_1 : E.Small] → CategoryTheory.Precoverage.ZeroHypercover.Small.Index E → E.I₀