∀ {A : Type u_9} {B : Type u_1} {C : Type u_10} {A' : Type u_11} {B' : Type u_3} {C' : Type u_12}
  [inst : CategoryTheory.Category.{u_5, u_9} A] [inst_1 : CategoryTheory.Category.{u_4, u_1} B]
  [inst_2 : CategoryTheory.Category.{u_6, u_10} C] {F : CategoryTheory.Functor A B} {G : CategoryTheory.Functor C B}
  [inst_3 : CategoryTheory.Category.{u_7, u_11} A'] [inst_4 : CategoryTheory.Category.{u_2, u_3} B']
  [inst_5 : CategoryTheory.Category.{u_8, u_12} C'] {F' : CategoryTheory.Functor A' B'}
  {G' : CategoryTheory.Functor C' B'} {ψ ψ' : CategoryTheory.Limits.CatCospanTransform F G F' G'} (e : ψ ≅ ψ'),
  CategoryTheory.CategoryStruct.comp e.inv.base e.hom.base = CategoryTheory.CategoryStruct.id ψ'.base