The Collaborative International Dictionary of English v.0.48:

Non obstante \Non` ob*stan"te\ (n[o^]n` [o^]b*st[a^]n"t[-e]).
   [L.]
   1. Notwithstanding; in opposition to, or in spite of, what
      has been stated, or is to be stated or admitted.
      [1913 Webster]

   2. (Law) A clause in old English statutes and letters patent,
      importing a license from the crown to do a thing
      notwithstanding any statute to the contrary. This
      dispensing power was abolished by the Bill of Rights.
      [1913 Webster]

            In this very reign [Henry III.] the practice of
            dispensing with statutes by a non obstante was
            introduced.                           --Hallam.
      [1913 Webster]

   Non obstante veredicto [LL.] (Law), a judgment sometimes
      entered by order of the court, for the plaintiff,
      notwithstanding a verdict for the defendant. --Stephen.
      [1913 Webster]

Bouvier's Law Dictionary, Revised 6th Ed (1856):

NON OBSTANTE VEREDICTO. Notwithstanding the verdict. See Judgment non
obstante veredicto.