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    • Hex-digit-char-listp

    Hex-digit-char-listp-results

    Theorems about results of std/strings functions that return lists of hexadecimal digit characters.

    Those std/strings are accompanied by theorems that they return hex-digit-char-list*p, but they in fact return true lists, so here we add theorems that they return hex-digit-char-listp.

    Definitions and Theorems

    Theorem: hex-digit-char-listp-of-basic-nat-to-hex-chars

    (defthm hex-digit-char-listp-of-basic-nat-to-hex-chars
      (hex-digit-char-listp (basic-nat-to-hex-chars nat)))

    Theorem: hex-digit-char-listp-of-nat-to-hex-chars-aux

    (defthm hex-digit-char-listp-of-nat-to-hex-chars-aux
      (implies (hex-digit-char-listp acc)
               (hex-digit-char-listp (nat-to-hex-chars-aux nat acc))))

    Theorem: hex-digit-char-listp-of-nat-to-hex-chars

    (defthm hex-digit-char-listp-of-nat-to-hex-chars
      (hex-digit-char-listp (nat-to-hex-chars nat)))