the world > existence and causation > causation > effect, result, or consequence > [adjective] > dependent or contingent > on something (3)
Dependent for its occurrence or character on or upon some prior occurrence or condition.
figurative. Dependent, contingent, or conditional on or upon something. Obsolete.
incidental to: liable to happen to; to which a thing is liable or exposed. incidental upon: following upon as an incident.