The excerpt you provided highlights the nonsensical and paradoxical nature of the looking-glass land, which is a central theme in Lewis Carroll's "Through the Looking-Glass." The correct interpretation of the evidence provided by Alice's experience and the subsequent battle between Tweedledum and Tweedledee suggests that:
One has to run quickly in order to stand still in the looking-glass land.
This phrase embodies the idea that in the peculiar world of the looking-glass, things operate differently than in the real world, where conventional logic does not necessarily apply. It's a reflection of the themes of absurdity and inversion that characterize Carroll's work.