∀ {F : Type u_2} {α : Type u_3} {β : Type u_1} [inst : FunLike F α β] [inst_1 : Lattice α] [inst_2 : Lattice β]
  [inst_3 : BoundedOrder α] [inst_4 : BoundedOrder β] [BoundedLatticeHomClass F α β] (f : F), f ⊤ = ⊤