∀ {C : Type u} {inst : CategoryTheory.Category.{v, u} C} {n : ℕ} {X : (k : ℕ) → k < n → (t : Type (max v w)) × (t → C)}
  {k k' : ℕ} {hk : k < n} {hk' : k' < n} {j : (X k hk).fst} {j' : (X k' hk').fst}
  {a a_1 : (X k hk).snd j ⟶ (X k' hk').snd j'} {k_1 k'_1 : ℕ} {hk_1 : k_1 < n} {hk'_1 : k'_1 < n}
  {j_1 : (X k_1 hk_1).fst} {j'_1 : (X k'_1 hk'_1).fst} {a_2 a_3 : (X k_1 hk_1).snd j_1 ⟶ (X k'_1 hk'_1).snd j'_1},
  CategoryTheory.IsCofiltered.CofilteredClosureSmall.InductiveStep.eq✝ hk hk' j j' a a_1 =
      CategoryTheory.IsCofiltered.CofilteredClosureSmall.InductiveStep.eq✝¹ hk_1 hk'_1 j_1 j'_1 a_2 a_3 →
    k = k_1 ∧ k' = k'_1 ∧ j ≍ j_1 ∧ j' ≍ j'_1 ∧ a ≍ a_2 ∧ a_1 ≍ a_3