On the scale of lucidity, "full" lucidity requires that all characters in a dream, not just the dreamer, be aware that they are in a dream.
In this case, "another dream character not only becomes lucid before the dream-ego, he also possesses a higher degree of lucidity than the dream-ego later achieves."
I did not believe him and ... he told me ... that I would be able to see that we were part of a dream.
[1]Generally, the stage of capacity of a dream guide to put in such an appearance so as to inform the unwitting dreamer of the fact that this is a dream; must be preceded by the stage (achieved in some previous nights) of the witting dreamer informing (in a manner acceptable, or course, to themselves) prospective dream guides of the fact of this being a dream, and securing their agreement to this fact.
This stage will in turn have quite likely have been preceded by a still earlier stage in which the witting dreamer will have endeavored to secure the agreement, by prospective dream guides, of the fact of this being a dream, but having been rebuffed by them (the rebuff have been due merely to the statement's not having been made in a style suitable to their literary fashion, which can be quite punctilious).