∀ (X : Type u_1) (Y : Type u_2) [inst : TopologicalSpace X] [inst_1 : TopologicalSpace Y] [inst_2 : HSpace X]
  [inst_3 : HSpace Y] (hG : Continuous fun p => (HSpace.hmulE (p.1, p.2.1), HSpace.hmulE (p.1, p.2.2))) (x : X × Y),
  { toFun := fun p => (HSpace.hmulE (p.1, p.2.1), HSpace.hmulE (p.1, p.2.2)), continuous_toFun := hG }.toFun (1, x) =
    (ContinuousMap.id (X × Y)) x