Be contingent on.

synonyms: depend on, depend upon, hinge on, hinge upon, ride, turn on.

Roget 926: be the duty of; be incumbent etc. adj.. on, be responsible etc. adj.; behoove, become, befit, beseem; belong to, pertain to; fall to one's lot; devolve on; lie upon, lie on one's head, lie at one's door; rest with, rest on the shoulders of.    take upon oneself etc. (promise) 768; be bound to, become bound to, be sponsor for, become sponsor for; incur a responsibility etc. n.; be under an obligation, stand under an obligation, lie under an obligation; have to answer for, owe to it oneself.    impose a duty, etc. n.; enjoin, require, exact; bind, bind over; saddle with, prescribe, assign, call upon, look to, oblige.    enter upon a duty, perform a duty, observe a duty, fulfill a duty, discharge a duty, adhere to a duty, acquit oneself of a duty, satisfy a duty, enter upon an obligation, perform an obligation, observe an obligation, fulfill an obligation, discharge an obligation, adhere to an obligation, acquit oneself of an obligation, satisfy an obligation; act one's part, redeem one's pledge, do justice to, be at one's post; do duty; do one's duty etc. (be virtuous) 944.    be on one's good behavior, mind one's P's and Q's.    ... show more