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Atj-common-code-generation

Atj-chars-to-jhexcodes

Lift atj-char-to-jhexcode to lists.

Signature
(atj-chars-to-jhexcodes x) → exprs
Returns: exprs — Type (jexpr-listp exprs).

Definitions and Theorems

Function: atj-chars-to-jhexcodes-exec

(defun atj-chars-to-jhexcodes-exec (x acc)
 (declare (xargs :guard (character-listp x)))
 (let ((__function__ 'atj-chars-to-jhexcodes-exec))
  (declare (ignorable __function__))
  (if
   (consp x)
   (atj-chars-to-jhexcodes-exec (cdr x)
                                (cons (atj-char-to-jhexcode (car x))
                                      acc))
   acc)))

Function: atj-chars-to-jhexcodes-nrev

(defun atj-chars-to-jhexcodes-nrev (x acl2::nrev)
 (declare (xargs :stobjs (acl2::nrev)))
 (declare (xargs :guard (character-listp x)))
 (let ((__function__ 'atj-chars-to-jhexcodes-nrev))
  (declare (ignorable __function__))
  (if (atom x)
      (acl2::nrev-fix acl2::nrev)
   (let ((acl2::nrev (acl2::nrev-push (atj-char-to-jhexcode (car x))
                                      acl2::nrev)))
     (atj-chars-to-jhexcodes-nrev (cdr x)
                                  acl2::nrev)))))

Function: atj-chars-to-jhexcodes

(defun atj-chars-to-jhexcodes (x)
  (declare (xargs :guard (character-listp x)))
  (let ((__function__ 'atj-chars-to-jhexcodes))
    (declare (ignorable __function__))
    (mbe :logic
         (if (consp x)
             (cons (atj-char-to-jhexcode (car x))
                   (atj-chars-to-jhexcodes (cdr x)))
           nil)
         :exec
         (if (atom x)
             nil
           (acl2::with-local-nrev
                (atj-chars-to-jhexcodes-nrev x acl2::nrev))))))

Theorem: jexpr-listp-of-atj-chars-to-jhexcodes

(defthm jexpr-listp-of-atj-chars-to-jhexcodes
  (b* ((exprs (atj-chars-to-jhexcodes x)))
    (jexpr-listp exprs))
  :rule-classes :rewrite)

Theorem: atj-chars-to-jhexcodes-nrev-removal

(defthm atj-chars-to-jhexcodes-nrev-removal
  (equal (atj-chars-to-jhexcodes-nrev acl2::x acl2::nrev)
         (append acl2::nrev
                 (atj-chars-to-jhexcodes acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: atj-chars-to-jhexcodes-exec-removal

(defthm atj-chars-to-jhexcodes-exec-removal
  (equal (atj-chars-to-jhexcodes-exec acl2::x acl2::acc)
         (revappend (atj-chars-to-jhexcodes acl2::x)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: atj-chars-to-jhexcodes-of-take

(defthm atj-chars-to-jhexcodes-of-take
  (implies (<= (nfix acl2::n) (len acl2::x))
           (equal (atj-chars-to-jhexcodes (take acl2::n acl2::x))
                  (take acl2::n
                        (atj-chars-to-jhexcodes acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-atj-chars-to-jhexcodes

(defthm set-equiv-congruence-over-atj-chars-to-jhexcodes
  (implies (set-equiv acl2::x acl2::y)
           (set-equiv (atj-chars-to-jhexcodes acl2::x)
                      (atj-chars-to-jhexcodes acl2::y)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-atj-chars-to-jhexcodes-when-subsetp

(defthm subsetp-of-atj-chars-to-jhexcodes-when-subsetp
  (implies (subsetp acl2::x acl2::y)
           (subsetp (atj-chars-to-jhexcodes acl2::x)
                    (atj-chars-to-jhexcodes acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: member-of-atj-char-to-jhexcode-in-atj-chars-to-jhexcodes

(defthm member-of-atj-char-to-jhexcode-in-atj-chars-to-jhexcodes
  (implies (member acl2::k acl2::x)
           (member (atj-char-to-jhexcode acl2::k)
                   (atj-chars-to-jhexcodes acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: atj-chars-to-jhexcodes-of-rev

(defthm atj-chars-to-jhexcodes-of-rev
  (equal (atj-chars-to-jhexcodes (rev acl2::x))
         (rev (atj-chars-to-jhexcodes acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: atj-chars-to-jhexcodes-of-list-fix

(defthm atj-chars-to-jhexcodes-of-list-fix
  (equal (atj-chars-to-jhexcodes (list-fix acl2::x))
         (atj-chars-to-jhexcodes acl2::x))
  :rule-classes ((:rewrite)))

Theorem: atj-chars-to-jhexcodes-of-append

(defthm atj-chars-to-jhexcodes-of-append
  (equal (atj-chars-to-jhexcodes (append acl2::a acl2::b))
         (append (atj-chars-to-jhexcodes acl2::a)
                 (atj-chars-to-jhexcodes acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-atj-chars-to-jhexcodes

(defthm cdr-of-atj-chars-to-jhexcodes
  (equal (cdr (atj-chars-to-jhexcodes acl2::x))
         (atj-chars-to-jhexcodes (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-atj-chars-to-jhexcodes

(defthm car-of-atj-chars-to-jhexcodes
  (equal (car (atj-chars-to-jhexcodes acl2::x))
         (and (consp acl2::x)
              (atj-char-to-jhexcode (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: atj-chars-to-jhexcodes-under-iff

(defthm atj-chars-to-jhexcodes-under-iff
  (iff (atj-chars-to-jhexcodes acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-atj-chars-to-jhexcodes

(defthm consp-of-atj-chars-to-jhexcodes
  (equal (consp (atj-chars-to-jhexcodes acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-atj-chars-to-jhexcodes

(defthm len-of-atj-chars-to-jhexcodes
  (equal (len (atj-chars-to-jhexcodes acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-atj-chars-to-jhexcodes

(defthm true-listp-of-atj-chars-to-jhexcodes
  (true-listp (atj-chars-to-jhexcodes acl2::x))
  :rule-classes :type-prescription)

Theorem: atj-chars-to-jhexcodes-when-not-consp

(defthm atj-chars-to-jhexcodes-when-not-consp
  (implies (not (consp acl2::x))
           (equal (atj-chars-to-jhexcodes acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: atj-chars-to-jhexcodes-of-cons

(defthm atj-chars-to-jhexcodes-of-cons
  (equal (atj-chars-to-jhexcodes (cons acl2::a acl2::b))
         (cons (atj-char-to-jhexcode acl2::a)
               (atj-chars-to-jhexcodes acl2::b)))
  :rule-classes ((:rewrite)))