{J : Type u} →
  [inst : CategoryTheory.Category.{v, u} J] →
    {F : CategoryTheory.Functor J (Type w₀)} →
      {c : F.CoconeTypes} →
        (desc : (c' : F.CoconeTypes) → c.pt → c'.pt) →
          autoParam (∀ (c' : F.CoconeTypes) (j : J), desc c' ∘ c.ι j = c'.ι j)
              CategoryTheory.Functor.CoconeTypes.IsColimitCore.fac._autoParam →
            (∀ {T : Type w₂} {f g : c.pt → T}, (∀ (j : J), f ∘ c.ι j = g ∘ c.ι j) → f = g) → c.IsColimitCore