Synonyms and related words :
confirmed, deep-dyed, deep-engraven, deep-fixed, deep-grounded, deep-laid, deep-rooted, deep-seated, deep-set, deep-settled, dyed-in-the-wool, embedded, embossed, engrafted, engraved, entrenched, established, etched, firmly established, graven, implanted, impressed, imprinted, indelibly impressed, infixed, ingrained, inveterate, inwrought, long-established, old-line, on a rock, on bedrock, rooted, set, settled, stabilized, vested, well-established, well-founded, well-grounded, well-set, well-settled