established

brought about or set up or accepted; especially long established; "the established social order"; "distrust the constituted authority"; "a team established as a member of a major league"; "enjoyed his prestige as an established writer"; "an established precedent"; "the established Church"

settled securely and unconditionally; "that smoking causes health problems is an accomplished fact"

conforming with accepted standards; "a conventional view of the world"

shown to be valid beyond a reasonable doubt; "the established facts in the case"

introduced from another region and persisting without cultivation