The Collaborative International Dictionary of English v.0.48:

Rely \Re*ly"\ (r?-l?"), v. i. [imp. & p. p. Relied (-l?d"); p.
   pr. & vb. n. Relying.] [Pref. re- + lie to rest.]
   To rest with confidence, as when fully satisfied of the
   veracity, integrity, or ability of persons, or of the
   certainty of facts or of evidence; to have confidence; to
   trust; to depend; -- with on, formerly also with in.
   [1913 Webster]

         Go in thy native innocence; rely
         On what thou hast of virtue.             --Milton.
   [1913 Webster]

         On some fond breast the parting soul relies. --Gray.
   [1913 Webster]

   Syn: To trust; depend; confide; repose.
        [1913 Webster]

WordNet (r) 3.0 (2006):

rely
    v 1: have confidence or faith in; "We can trust in God"; "Rely
         on your friends"; "bank on your good education"; "I swear
         by my grandmother's recipes" [syn: trust, swear,
         rely, bank] [ant: distrust, mistrust, suspect]

Moby Thesaurus II by Grady Ward, 1.0:

23 Moby Thesaurus words for "rely":
   await, bank, bank on, bet on, build on, calculate, commit, confide,
   count on, depend, depend on, entrust, expect, have confidence in,
   hope, lean on, lean upon, look, lot, put faith in, reckon on,
   swear by, trust in