∀ {C : Type u} {F : C → Type v} {c : CategoryTheory.Limits.CofanTypes F},
  CategoryTheory.Functor.CoconeTypes.IsColimit c →
    ∀ {i₁ i₂ : C} (y₁ : F i₁) (y₂ : F i₂), c.inj i₁ y₁ = c.inj i₂ y₂ → i₁ = i₂