OXFORD DICTIONARY
Rely, v.intr. (-ies, -ied) (foll. by on, upon)
1 depend on with confidence or assurance (am relying on your judgement).
2 be dependent on (relies on her for everything).
ME (earlier senses 'rally, be a vassal of') f. OF relier bind together f. L religare (as RE-, ligare bind)
THESAURUS
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