THESAURUS
deep rooted
ankle-deep, chronic, confirmed, deep, deep-cut, deep-down, deep-dyed, deep-engraven, deep-fixed, deep-grounded, deep-laid, deep-lying, deep-reaching, deep-seated, deep-set, deep-settled, deep-sinking, deep-sunk, deep-sunken, deepish, deepsome, dyed-in-the-wool, embedded, embossed, engrafted, engraved, entrenched, established, etched, fast, firmly established, fixed, graven, implanted, impressed, imprinted, incorrigible, inculcated, indelibly impressed, infixed, ingrained, ingrown, instilled, inveterate, inwrought, irreversible, knee-deep, long-established, old-line, on a rock, on bedrock, profound, rooted, set, settled, settled in habit, stabilized, thorough, vested, well-established, well-founded, well-grounded, well-set, well-settled