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• Unicode-characters

Unicode-list->codepoint-list

Lift unicode->codepoint to lists.

Signature

(unicode-list->codepoint-list x) → cpoints

Arguments

x — Guard (unicode-listp x).

Returns

cpoints — Type (nat-listp cpoints).

This is an ordinary std::defprojection.

Definitions and Theorems

Function: unicode-list->codepoint-list-exec

(defun unicode-list->codepoint-list-exec (x acc)
  (declare (xargs :guard (unicode-listp x)))
  (declare (xargs :guard t))
  (let ((__function__ 'unicode-list->codepoint-list-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (unicode-list->codepoint-list-exec
             (cdr x)
             (cons (unicode->codepoint (car x)) acc))
      acc)))

Function: unicode-list->codepoint-list-nrev

(defun unicode-list->codepoint-list-nrev (x acl2::nrev)
 (declare (xargs :stobjs (acl2::nrev)))
 (declare (xargs :guard (unicode-listp x)))
 (declare (xargs :guard t))
 (let ((__function__ 'unicode-list->codepoint-list-nrev))
   (declare (ignorable __function__))
   (if (atom x)
       (acl2::nrev-fix acl2::nrev)
     (let ((acl2::nrev (acl2::nrev-push (unicode->codepoint (car x))
                                        acl2::nrev)))
       (unicode-list->codepoint-list-nrev (cdr x)
                                          acl2::nrev)))))

Function: unicode-list->codepoint-list

(defun unicode-list->codepoint-list (x)
 (declare (xargs :guard (unicode-listp x)))
 (declare (xargs :guard t))
 (let ((__function__ 'unicode-list->codepoint-list))
   (declare (ignorable __function__))
   (mbe :logic
        (if (consp x)
            (cons (unicode->codepoint (car x))
                  (unicode-list->codepoint-list (cdr x)))
          nil)
        :exec
        (if (atom x)
            nil
          (acl2::with-local-nrev
               (unicode-list->codepoint-list-nrev x acl2::nrev))))))

Theorem: nat-listp-of-unicode-list->codepoint-list

(defthm nat-listp-of-unicode-list->codepoint-list
  (b* ((cpoints (unicode-list->codepoint-list x)))
    (nat-listp cpoints))
  :rule-classes :rewrite)

Theorem: unicode-list->codepoint-list-nrev-removal

(defthm unicode-list->codepoint-list-nrev-removal
  (equal (unicode-list->codepoint-list-nrev acl2::x acl2::nrev)
         (append acl2::nrev
                 (unicode-list->codepoint-list acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: unicode-list->codepoint-list-exec-removal

(defthm unicode-list->codepoint-list-exec-removal
  (equal (unicode-list->codepoint-list-exec acl2::x acl2::acc)
         (revappend (unicode-list->codepoint-list acl2::x)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: unicode-list->codepoint-list-of-rev

(defthm unicode-list->codepoint-list-of-rev
  (equal (unicode-list->codepoint-list (rev acl2::x))
         (rev (unicode-list->codepoint-list acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: unicode-list->codepoint-list-of-list-fix

(defthm unicode-list->codepoint-list-of-list-fix
  (equal (unicode-list->codepoint-list (list-fix acl2::x))
         (unicode-list->codepoint-list acl2::x))
  :rule-classes ((:rewrite)))

Theorem: unicode-list->codepoint-list-of-append

(defthm unicode-list->codepoint-list-of-append
  (equal (unicode-list->codepoint-list (append acl2::a acl2::b))
         (append (unicode-list->codepoint-list acl2::a)
                 (unicode-list->codepoint-list acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-unicode-list->codepoint-list

(defthm cdr-of-unicode-list->codepoint-list
  (equal (cdr (unicode-list->codepoint-list acl2::x))
         (unicode-list->codepoint-list (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-unicode-list->codepoint-list

(defthm car-of-unicode-list->codepoint-list
  (equal (car (unicode-list->codepoint-list acl2::x))
         (and (consp acl2::x)
              (unicode->codepoint (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: unicode-list->codepoint-list-under-iff

(defthm unicode-list->codepoint-list-under-iff
  (iff (unicode-list->codepoint-list acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-unicode-list->codepoint-list

(defthm consp-of-unicode-list->codepoint-list
  (equal (consp (unicode-list->codepoint-list acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-unicode-list->codepoint-list

(defthm len-of-unicode-list->codepoint-list
  (equal (len (unicode-list->codepoint-list acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-unicode-list->codepoint-list

(defthm true-listp-of-unicode-list->codepoint-list
  (true-listp (unicode-list->codepoint-list acl2::x))
  :rule-classes :type-prescription)

Theorem: unicode-list->codepoint-list-when-not-consp

(defthm unicode-list->codepoint-list-when-not-consp
  (implies (not (consp acl2::x))
           (equal (unicode-list->codepoint-list acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: unicode-list->codepoint-list-of-cons

(defthm unicode-list->codepoint-list-of-cons
  (equal (unicode-list->codepoint-list (cons acl2::a acl2::b))
         (cons (unicode->codepoint acl2::a)
               (unicode-list->codepoint-list acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: unicode-list->codepoint-list-of-unicode-list-fix-x

(defthm unicode-list->codepoint-list-of-unicode-list-fix-x
  (equal (unicode-list->codepoint-list (unicode-list-fix x))
         (unicode-list->codepoint-list x)))

Theorem: unicode-list->codepoint-list-unicode-list-equiv-congruence-on-x

(defthm
    unicode-list->codepoint-list-unicode-list-equiv-congruence-on-x
  (implies (unicode-list-equiv x x-equiv)
           (equal (unicode-list->codepoint-list x)
                  (unicode-list->codepoint-list x-equiv)))
  :rule-classes :congruence)