∀ {X : Type v} [inst : TopologicalSpace X] [inst_1 : Preorder X] [inst_2 : Topology.IsUpperSet X] {C : Type u}
  [inst_3 : CategoryTheory.Category.{v, u} C] [inst_4 : CategoryTheory.Limits.HasLimits C]
  (F F_1 : CategoryTheory.Functor X C),
  F = F_1 → Alexandrov.principalsKanExtension F = Alexandrov.principalsKanExtension F_1