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• Packages

Lift-package-list

Lift a list of packages (specified by name) from the current ACL2 environment to the meta level, in the same order.

Signature

(lift-package-list x) → packages

Returns

packages — Type (package-listp packages).

This is an ordinary std::defprojection.

Definitions and Theorems

Function: lift-package-list-exec

(defun lift-package-list-exec (x acc)
  (declare (xargs :guard (string-listp x)))
  (let ((__function__ 'lift-package-list-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (lift-package-list-exec (cdr x)
                                (cons (lift-package (car x)) acc))
      acc)))

Function: lift-package-list-nrev

(defun lift-package-list-nrev (x acl2::nrev)
  (declare (xargs :stobjs (acl2::nrev)))
  (declare (xargs :guard (string-listp x)))
  (let ((__function__ 'lift-package-list-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (acl2::nrev-fix acl2::nrev)
      (let ((acl2::nrev (acl2::nrev-push (lift-package (car x))
                                         acl2::nrev)))
        (lift-package-list-nrev (cdr x)
                                acl2::nrev)))))

Function: lift-package-list

(defun lift-package-list (x)
  (declare (xargs :guard (string-listp x)))
  (let ((__function__ 'lift-package-list))
    (declare (ignorable __function__))
    (mbe :logic
         (if (consp x)
             (cons (lift-package (car x))
                   (lift-package-list (cdr x)))
           nil)
         :exec
         (if (atom x)
             nil
           (acl2::with-local-nrev
                (lift-package-list-nrev x acl2::nrev))))))

Theorem: package-listp-of-lift-package-list

(defthm package-listp-of-lift-package-list
  (b* ((packages (lift-package-list x)))
    (package-listp packages))
  :rule-classes :rewrite)

Theorem: lift-package-list-nrev-removal

(defthm lift-package-list-nrev-removal
  (equal (lift-package-list-nrev acl2::x acl2::nrev)
         (append acl2::nrev (lift-package-list acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: lift-package-list-exec-removal

(defthm lift-package-list-exec-removal
  (equal (lift-package-list-exec acl2::x acl2::acc)
         (revappend (lift-package-list acl2::x)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: lift-package-list-of-rev

(defthm lift-package-list-of-rev
  (equal (lift-package-list (rev acl2::x))
         (rev (lift-package-list acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: lift-package-list-of-list-fix

(defthm lift-package-list-of-list-fix
  (equal (lift-package-list (list-fix acl2::x))
         (lift-package-list acl2::x))
  :rule-classes ((:rewrite)))

Theorem: lift-package-list-of-append

(defthm lift-package-list-of-append
  (equal (lift-package-list (append acl2::a acl2::b))
         (append (lift-package-list acl2::a)
                 (lift-package-list acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-lift-package-list

(defthm cdr-of-lift-package-list
  (equal (cdr (lift-package-list acl2::x))
         (lift-package-list (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-lift-package-list

(defthm car-of-lift-package-list
  (equal (car (lift-package-list acl2::x))
         (and (consp acl2::x)
              (lift-package (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: lift-package-list-under-iff

(defthm lift-package-list-under-iff
  (iff (lift-package-list acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-lift-package-list

(defthm consp-of-lift-package-list
  (equal (consp (lift-package-list acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-lift-package-list

(defthm len-of-lift-package-list
  (equal (len (lift-package-list acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-lift-package-list

(defthm true-listp-of-lift-package-list
  (true-listp (lift-package-list acl2::x))
  :rule-classes :type-prescription)

Theorem: lift-package-list-when-not-consp

(defthm lift-package-list-when-not-consp
  (implies (not (consp acl2::x))
           (equal (lift-package-list acl2::x) nil))
  :rule-classes ((:rewrite)))

Theorem: lift-package-list-of-cons

(defthm lift-package-list-of-cons
  (equal (lift-package-list (cons acl2::a acl2::b))
         (cons (lift-package acl2::a)
               (lift-package-list acl2::b)))
  :rule-classes ((:rewrite)))