WordNet sense 1 (settled securely and unconditionally):

accomplished, effected

WordNet sense 2 (established or decided beyond dispute or doubt):

settled

WordNet sense 3 (securely established):

firm

WordNet sense 4 (free from danger or risk):

secure

WordNet sense 5 (established beyond doubt):

proven, proved

WordNet sense 6 (conforming with accepted standards):

conventional

WordNet sense 7 (well established and ready to function):

set up

WordNet sense 8 (established firmly and securely):

entrenched

WordNet sense 9 ((used especially of ideas or principles) deeply rooted; firmly fixed or held):

ingrained

WordNet sense 10 (widely or permanently accepted):

accepted

WordNet sense 11 (brought about or set up or accepted; especially long established):

constituted

WordNet sense 12 (introduced from another region and persisting without cultivation):

naturalized

WordNet sense 13 (relating to or originating in or characteristic of another place or part of the world):

foreign, strange