established in WordNet English dictionary

1. settled securely and unconditionally
   "that smoking causes health problems is an accomplished fact"
   accomplished  effected  established 
   
2. 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"
   established  constituted 
   
3. conforming with accepted standards
   "a conventional view of the world"
   conventional  established 
   
4. introduced from another region and persisting without cultivation
   established  naturalized 
   
5. shown to be valid beyond a reasonable doubt
   "the established facts in the case"
   established