WordNet (r) 3.0 (2006):

rely on
    v 1: put trust in with confidence; "she is someone you can
         really rely on when times get rough"; "you can rely on his
         discretion" [syn: depend on, depend upon, rely on,
         rely upon]
    2: be dependent on, as for support or maintenance; "elderly
       parents often depend on their adult children" [syn: depend
       on, rely on]

Moby Thesaurus II by Grady Ward, 1.0:

51 Moby Thesaurus words for "rely on":
   abut on, aspire to, bank on, be based on, bear on, bestraddle,
   bestride, bet on, calculate on, confide, confide in, count on,
   deem trustworthy, depend on, desire, expect, feel confident,
   gamble on, harbor the hope, hope, hope against hope, hope and pray,
   hope for, hope in, hope to God, lean on, lean upon, lie on,
   live in hopes, nurture the hope, perch, place confidence in,
   place reliance on, presume, reckon on, rely upon, repose,
   repose on, rest assured, rest on, ride, sit on, stand on, straddle,
   stride, swear by, think reliable, trust, trust implicitly,
   trust in, trust to