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• Bin-digit-char-listp

Bin-digit-char-listp-results

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

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

Definitions and Theorems

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

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

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

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

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

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