∀ {C : Type u_2} [inst : CategoryTheory.Category.{u_1, u_2} C] [inst_1 : CategoryTheory.Limits.HasProducts C]
  {X : TopCat} (F : TopCat.Presheaf C X) {ι : Type u_3} (U : ι → TopologicalSpace.Opens ↑X)
  {c c' : CategoryTheory.Limits.Cone ((CategoryTheory.Pairwise.diagram U).op.comp F)} (f : c ⟶ c')
  (j : CategoryTheory.Limits.WalkingParallelPair),
  CategoryTheory.CategoryStruct.comp f.hom
      ((TopCat.Presheaf.SheafConditionPairwiseIntersections.coneEquivFunctorObj F U c').π.app j) =
    (TopCat.Presheaf.SheafConditionPairwiseIntersections.coneEquivFunctorObj F U c).π.app j