to prove something implies certainty, other than self, one can be certain of nothing. though i would like it if i was certain of everything i know of, i can only be certain of myself, and even then only my mind. as far as proving goes, i need not prove anything to myself since i already know myself, as for proving certainty when considering external reality, i have no need for such, external reality is whimsical at best, regardless what is perceived.
think about the old sayings of love; when your in love you're willing to face uncertainty as long as you have your love by your side. fortunately, my love is me, thus uncertainty is nothing relative to my awareness of self. everything and nothing are irrelevant when considering true self; at least from my perspective.