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          • Tterm-constant-list->value-list
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• Translated-terms

Tterm-constant-list->value-list

Lift tterm-constant->value to lists.

Signature

(tterm-constant-list->value-list x) → values

Returns

values — Type (value-listp values).

This is an ordinary std::defprojection.

Definitions and Theorems

Function: tterm-constant-list->value-list-exec

(defun tterm-constant-list->value-list-exec
       (x acc)
       (declare (xargs :guard (and (tterm-listp x)
                                   (tterm-case-constant-listp x))))
       (let ((__function__ 'tterm-constant-list->value-list-exec))
            (declare (ignorable __function__))
            (if (consp x)
                (tterm-constant-list->value-list-exec
                     (cdr x)
                     (cons (tterm-constant->value (car x))
                           acc))
                acc)))

Function: tterm-constant-list->value-list-nrev

(defun
 tterm-constant-list->value-list-nrev
 (x acl2::nrev)
 (declare (xargs :stobjs (acl2::nrev)))
 (declare (xargs :guard (and (tterm-listp x)
                             (tterm-case-constant-listp x))))
 (let
  ((__function__ 'tterm-constant-list->value-list-nrev))
  (declare (ignorable __function__))
  (if
   (atom x)
   (acl2::nrev-fix acl2::nrev)
   (let
       ((acl2::nrev (acl2::nrev-push (tterm-constant->value (car x))
                                     acl2::nrev)))
       (tterm-constant-list->value-list-nrev (cdr x)
                                             acl2::nrev)))))

Function: tterm-constant-list->value-list

(defun
 tterm-constant-list->value-list (x)
 (declare (xargs :guard (and (tterm-listp x)
                             (tterm-case-constant-listp x))))
 (let
  ((__function__ 'tterm-constant-list->value-list))
  (declare (ignorable __function__))
  (mbe
   :logic (if (consp x)
              (cons (tterm-constant->value (car x))
                    (tterm-constant-list->value-list (cdr x)))
              nil)
   :exec
   (if (atom x)
       nil
       (acl2::with-local-nrev
            (tterm-constant-list->value-list-nrev x acl2::nrev))))))

Theorem: value-listp-of-tterm-constant-list->value-list

(defthm value-listp-of-tterm-constant-list->value-list
        (b* ((values (tterm-constant-list->value-list x)))
            (value-listp values))
        :rule-classes :rewrite)

Theorem: tterm-constant-list->value-list-of-take

(defthm
 tterm-constant-list->value-list-of-take
 (implies
     (<= (nfix acl2::n) (len acl2::x))
     (equal (tterm-constant-list->value-list (take acl2::n acl2::x))
            (take acl2::n
                  (tterm-constant-list->value-list acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-tterm-constant-list->value-list

(defthm
     set-equiv-congruence-over-tterm-constant-list->value-list
     (implies (set-equiv acl2::x acl2::y)
              (set-equiv (tterm-constant-list->value-list acl2::x)
                         (tterm-constant-list->value-list acl2::y)))
     :rule-classes ((:congruence)))

Theorem: subsetp-of-tterm-constant-list->value-list-when-subsetp

(defthm
     subsetp-of-tterm-constant-list->value-list-when-subsetp
     (implies (subsetp acl2::x acl2::y)
              (subsetp (tterm-constant-list->value-list acl2::x)
                       (tterm-constant-list->value-list acl2::y)))
     :rule-classes ((:rewrite)))

Theorem: member-of-tterm-constant->value-in-tterm-constant-list->value-list

(defthm
  member-of-tterm-constant->value-in-tterm-constant-list->value-list
  (implies (member acl2::k acl2::x)
           (member (tterm-constant->value acl2::k)
                   (tterm-constant-list->value-list acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: tterm-constant-list->value-list-nrev-removal

(defthm
    tterm-constant-list->value-list-nrev-removal
    (equal (tterm-constant-list->value-list-nrev acl2::x acl2::nrev)
           (append acl2::nrev
                   (tterm-constant-list->value-list acl2::x)))
    :rule-classes ((:rewrite)))

Theorem: tterm-constant-list->value-list-exec-removal

(defthm
     tterm-constant-list->value-list-exec-removal
     (equal (tterm-constant-list->value-list-exec acl2::x acl2::acc)
            (revappend (tterm-constant-list->value-list acl2::x)
                       acl2::acc))
     :rule-classes ((:rewrite)))

Theorem: tterm-constant-list->value-list-of-rev

(defthm tterm-constant-list->value-list-of-rev
        (equal (tterm-constant-list->value-list (rev acl2::x))
               (rev (tterm-constant-list->value-list acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: tterm-constant-list->value-list-of-list-fix

(defthm tterm-constant-list->value-list-of-list-fix
        (equal (tterm-constant-list->value-list (list-fix acl2::x))
               (tterm-constant-list->value-list acl2::x))
        :rule-classes ((:rewrite)))

Theorem: tterm-constant-list->value-list-of-append

(defthm
   tterm-constant-list->value-list-of-append
   (equal (tterm-constant-list->value-list (append acl2::a acl2::b))
          (append (tterm-constant-list->value-list acl2::a)
                  (tterm-constant-list->value-list acl2::b)))
   :rule-classes ((:rewrite)))

Theorem: cdr-of-tterm-constant-list->value-list

(defthm cdr-of-tterm-constant-list->value-list
        (equal (cdr (tterm-constant-list->value-list acl2::x))
               (tterm-constant-list->value-list (cdr acl2::x)))
        :rule-classes ((:rewrite)))

Theorem: car-of-tterm-constant-list->value-list

(defthm car-of-tterm-constant-list->value-list
        (equal (car (tterm-constant-list->value-list acl2::x))
               (and (consp acl2::x)
                    (tterm-constant->value (car acl2::x))))
        :rule-classes ((:rewrite)))

Theorem: tterm-constant-list->value-list-under-iff

(defthm tterm-constant-list->value-list-under-iff
        (iff (tterm-constant-list->value-list acl2::x)
             (consp acl2::x))
        :rule-classes ((:rewrite)))

Theorem: consp-of-tterm-constant-list->value-list

(defthm consp-of-tterm-constant-list->value-list
        (equal (consp (tterm-constant-list->value-list acl2::x))
               (consp acl2::x))
        :rule-classes ((:rewrite)))

Theorem: len-of-tterm-constant-list->value-list

(defthm len-of-tterm-constant-list->value-list
        (equal (len (tterm-constant-list->value-list acl2::x))
               (len acl2::x))
        :rule-classes ((:rewrite)))

Theorem: true-listp-of-tterm-constant-list->value-list

(defthm true-listp-of-tterm-constant-list->value-list
        (true-listp (tterm-constant-list->value-list acl2::x))
        :rule-classes :type-prescription)

Theorem: tterm-constant-list->value-list-when-not-consp

(defthm tterm-constant-list->value-list-when-not-consp
        (implies (not (consp acl2::x))
                 (equal (tterm-constant-list->value-list acl2::x)
                        nil))
        :rule-classes ((:rewrite)))

Theorem: tterm-constant-list->value-list-of-cons

(defthm
     tterm-constant-list->value-list-of-cons
     (equal (tterm-constant-list->value-list (cons acl2::a acl2::b))
            (cons (tterm-constant->value acl2::a)
                  (tterm-constant-list->value-list acl2::b)))
     :rule-classes ((:rewrite)))

Theorem: tterm-constant-list->value-list-of-tterm-list-fix-x

(defthm tterm-constant-list->value-list-of-tterm-list-fix-x
        (equal (tterm-constant-list->value-list (tterm-list-fix x))
               (tterm-constant-list->value-list x)))

Theorem: tterm-constant-list->value-list-tterm-list-equiv-congruence-on-x

(defthm
    tterm-constant-list->value-list-tterm-list-equiv-congruence-on-x
    (implies (tterm-list-equiv x x-equiv)
             (equal (tterm-constant-list->value-list x)
                    (tterm-constant-list->value-list x-equiv)))
    :rule-classes :congruence)