Source : Webster's Revised Unabridged Dictionary (1913)

Implicitly \Im*plic"it*ly\, adv.
   1. In an implicit manner; without reserve; with unreserved
      confidence.

            Not to dispute the methods of his providence, but
            humbly and implicitly to acquiesce in and adore
            them.                                 --Atterbury.

   2. By implication; impliedly; as, to deny the providence of
      God is implicitly to deny his existence. --Bentley.

Source : WordNet®

implicitly
     adv 1: without doubting or questioning; "I implicitly trust him"
     2: without ever expressing so clearly; "he implicitly assumes
        that you know the answer" [ant: {explicitly}]