verb

• (transitive) To make stable or firm; to confirm.
  "Once it [a snowdrop variety] became established, some bulbs were lifted and passed on to be chipped (i.e. cut into small pieces and grown on)."
• (transitive) To form; to found; to institute; to set up in business.
  "But with thee will I establish my covenant; and thou shalt come into the ark, thou, and thy sons, and thy wife, and thy sons' wives with thee."
• (transitive) To appoint or adopt, as officers, laws, regulations, guidelines, etc.; to enact; to ordain.
  "By some paradoxical evolution rancour and intolerance have been established in the vanguard of primitive Christianity. Mrs. Spoker, in common with many of the stricter disciples of righteousness, was as inclement in demeanour as she was cadaverous in aspect."
• (transitive) To prove and cause to be accepted as true; to demonstrate.
  "to establish a fact   to establish a pattern"