1.Definition: brought about or set up or accepted; especially long established

"The established social order", "A team established as a member of a major league", "Enjoyed his prestige as an established writer", "An established precedent", "The established Church"

Related Adjective(s):constituted

2.Definition: conforming with accepted standards

Related Adjective(s):conventional

3.Definition: introduced from another region and persisting without cultivation

Related Adjective(s):naturalized

4.Definition: settled securely and unconditionally

Related Adjective(s):accomplished, effected

5.Definition: shown to be valid beyond a reasonable doubt

"The established facts in the case"