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Adjective: unshakable  ,ún'shey-ku-bul
  1. Marked by firm determination or resolution; not shakable
    "unshakable convictions";
    - firm, steadfast, steady, stiff, unbendable, unfaltering, unwavering, unshakeable
  2. Without flaws or loopholes
    - unassailable, watertight, bulletproof, ironclad, unshakeable

See also: incontestable, incontestible, resolute