When it comes to expressing dependency or causality, "be contingent on" is just one phrase among numerous alternatives. A few synonymous phrases include "be conditional on," "be subject to," "depend on," "hinge on," "rest on," "hang on," "be determined by," "be influenced by," and "be swayed by." These phrases all share a similar meaning of relying on something else or being affected by something beyond one's control. Choosing the right synonym depends on the context and emphasis of the sentence. Some phrases may highlight a stronger dependency or more limited control, while others may emphasize the uncertainty or unpredictability of the situation.