established
established , adjective
1.
brought about or set up or accepted; especially long and widely accepted; as, distrust of established authority; a team established as a member of a major league; enjoyed his prestige as an established writer; an established precedent; the established Church. Contrasted with unestablished.
2.
securely established; as, an established reputation.
3.
settled securely and unconditionally.
4.
conforming with accepted standards.
5.
shown to be valid beyond a reasonable doubt; as, the established facts in the case.
6.
(Botany) introduced from another region and persisting without cultivation; -- of plants.