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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)