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    • Dec-digit-char-listp

    Dec-digit-char-listp-results

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

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

    Definitions and Theorems

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

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

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

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

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

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