∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasZeroMorphisms C]
  {P Q : C} {c c' : CategoryTheory.Limits.BinaryBicone P Q} (φ : c.pt ≅ c'.pt),
  CategoryTheory.CategoryStruct.comp φ.hom c'.snd = c.snd → CategoryTheory.CategoryStruct.comp φ.hom c'.snd = c.snd