{C : Type u} →
  [inst : CategoryTheory.Category.{v, u} C] →
    [inst_1 : CategoryTheory.Regular C] →
      {A B : C} →
        (f : A ⟶ B) →
          (A' : CategoryTheory.Subobject A) →
            (B' : CategoryTheory.Subobject B) →
              CategoryTheory.Limits.StrongEpiMonoFactorisation
                (CategoryTheory.CategoryStruct.comp (A' ⊓ (CategoryTheory.Subobject.pullback f).obj B').arrow f)