established (adj.)
- accepted
- acknowledged
- actual
- ascertained
- assigned
- assured
- attested
- authenticated
- certain
- certified
- chronic
- confirmed
- conformable
- conventional
- corroborated
- current
- customary
- decided
- deep-laid
- deep-rooted
- deep-seated
- deep-set
- demonstrated
- determinate
- determined
- documentary
- effectual
- embedded
- embossed
- engraved
- entrenched
- etched
- everyday
- factual
- familiar
- fast
- fixed
- graven
- guaranteed
- hallowed
- heroic
- historical
- hoary
- immemorial
- implanted
- impressed
- incorrigible
- ingrained
- ingrown
- inveterate
- inwrought
- irreversible
- legendary
- located
- long-standing
- mythological
- normal
- old-line
- open-and-shut
- oral
- ordinary
- placed
- planted
- popular
- posted
- prescribed
- prescriptive
- prevalent
- proved
- proven
- real
- received
- recognized
- regular
- regulation
- rooted
- seated
- secure
- set
- settled
- situated
- spotted
- stabilized
- standard
- stated
- stock
- substantiated
- sure-enough
- tested
- thorough
- time-honored
- traditional
- tried
- true
- true-blue
- truthful
- understood
- unquestionable
- unwritten
- usual
- validated
- venerable
- veracious
- verified
- veritable
- vested
- warranted
- well-founded
- well-grounded
- well-set
- widespread
- wonted
- worshipful