postulate

Something assumed without proof as being self-evident or generally accepted, especially when used as a basis for an argument. Sometimes distinguished from axioms as being relevant to a particular science or context, rather than universally true, and following from other axioms rather than being an absolute assumption.

An axiom.

A fundamental element; a basic principle.

A requirement; a prerequisite.

To assume as a truthful or accurate premise or axiom, especially as a basis of an argument.

(historical) To appoint or request one's appointment to an ecclesiastical office.

(no longer used) To request, demand or claim for oneself.