well-established

Despite her efforts, the 27-year-old star says, she feels Hollywood’s outward support for female creatives — especially from other women with well-established careers — has just been lip service.

The Wales job is Bellamy's first managerial role in senior football but, having worked with Cremers as part of Vincent Kompany's staff at Burnley, this is already a well-established working relationship.

The updated ministerial code states that it is a "well-established and recognised rule that ministers should not accept any gifts, hospitality or service which would, or might reasonably appear to, compromise their judgement or place them under an obligation to people or organisations that might try inappropriately to influence their work in government".

Please note the use of the well-established scientific term “associated” in the above sentence.

“Restoration video” turns out to be a well-established genre with, I would guess, hundreds of dedicated channels, each with thousands, even hundreds of thousands of subscribers.