∀ {A : Type u₁} {B : Type u₂} {C : Type u₃} {A' : Type u₄} {B' : Type u₅} {C' : Type u₆}
  [inst : CategoryTheory.Category.{v₁, u₁} A] [inst_1 : CategoryTheory.Category.{v₂, u₂} B]
  [inst_2 : CategoryTheory.Category.{v₃, u₃} C] {F : CategoryTheory.Functor A B} {G : CategoryTheory.Functor C B}
  [inst_3 : CategoryTheory.Category.{v₄, u₄} A'] [inst_4 : CategoryTheory.Category.{v₅, u₅} B']
  [inst_5 : CategoryTheory.Category.{v₆, u₆} C'] {F' : CategoryTheory.Functor A' B'} {G' : CategoryTheory.Functor C' B'}
  {ψ ψ' : CategoryTheory.Limits.CatCospanTransform F G F' G'} (left : ψ.left ⟶ ψ'.left) (right : ψ.right ⟶ ψ'.right)
  (base : ψ.base ⟶ ψ'.base)
  (left_coherence :
    autoParam
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.CatCommSq.iso F ψ.left ψ.base F').hom
          (CategoryTheory.Functor.whiskerRight left F') =
        CategoryTheory.CategoryStruct.comp (F.whiskerLeft base) (CategoryTheory.CatCommSq.iso F ψ'.left ψ'.base F').hom)
      CategoryTheory.Limits.CatCospanTransformMorphism.left_coherence._autoParam)
  (right_coherence :
    autoParam
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.CatCommSq.iso G ψ.right ψ.base G').hom
          (CategoryTheory.Functor.whiskerRight right G') =
        CategoryTheory.CategoryStruct.comp (G.whiskerLeft base)
          (CategoryTheory.CatCommSq.iso G ψ'.right ψ'.base G').hom)
      CategoryTheory.Limits.CatCospanTransformMorphism.right_coherence._autoParam)
  (left_1 : ψ.left ⟶ ψ'.left) (right_1 : ψ.right ⟶ ψ'.right) (base_1 : ψ.base ⟶ ψ'.base)
  (left_coherence_1 :
    autoParam
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.CatCommSq.iso F ψ.left ψ.base F').hom
          (CategoryTheory.Functor.whiskerRight left_1 F') =
        CategoryTheory.CategoryStruct.comp (F.whiskerLeft base_1)
          (CategoryTheory.CatCommSq.iso F ψ'.left ψ'.base F').hom)
      CategoryTheory.Limits.CatCospanTransformMorphism.left_coherence._autoParam)
  (right_coherence_1 :
    autoParam
      (CategoryTheory.CategoryStruct.comp (CategoryTheory.CatCommSq.iso G ψ.right ψ.base G').hom
          (CategoryTheory.Functor.whiskerRight right_1 G') =
        CategoryTheory.CategoryStruct.comp (G.whiskerLeft base_1)
          (CategoryTheory.CatCommSq.iso G ψ'.right ψ'.base G').hom)
      CategoryTheory.Limits.CatCospanTransformMorphism.right_coherence._autoParam),
  ({ left := left, right := right, base := base, left_coherence := left_coherence,
        right_coherence := right_coherence } =
      { left := left_1, right := right_1, base := base_1, left_coherence := left_coherence_1,
        right_coherence := right_coherence_1 }) =
    (left = left_1 ∧ right = right_1 ∧ base = base_1)