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"
2.Definition: conforming with accepted standards
3.Definition: introduced from another region and persisting without cultivation
5.Definition: shown to be valid beyond a reasonable doubt
"The established facts in the case"