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• Modinstlist

Modinstlist->modnames

(modinstlist->modnames x) maps modinst->modname across a list.

Signature

(modinstlist->modnames x) → names

Arguments

x — Guard (modinstlist-p x).

Returns

names — Type (modnamelist-p names).

This is an ordinary defprojection.

Definitions and Theorems

Function: modinstlist->modnames-exec

(defun modinstlist->modnames-exec (x acc)
  (declare (xargs :guard (modinstlist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'modinstlist->modnames-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (modinstlist->modnames-exec
             (cdr x)
             (cons (modinst->modname (car x)) acc))
      acc)))

Function: modinstlist->modnames-nrev

(defun modinstlist->modnames-nrev (x acl2::nrev)
  (declare (xargs :stobjs (acl2::nrev)))
  (declare (xargs :guard (modinstlist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'modinstlist->modnames-nrev))
    (declare (ignorable __function__))
    (if (atom x)
        (acl2::nrev-fix acl2::nrev)
      (let ((acl2::nrev (acl2::nrev-push (modinst->modname (car x))
                                         acl2::nrev)))
        (modinstlist->modnames-nrev (cdr x)
                                    acl2::nrev)))))

Function: modinstlist->modnames

(defun modinstlist->modnames (x)
  (declare (xargs :guard (modinstlist-p x)))
  (declare (xargs :guard t))
  (let ((__function__ 'modinstlist->modnames))
    (declare (ignorable __function__))
    (mbe :logic
         (if (consp x)
             (cons (modinst->modname (car x))
                   (modinstlist->modnames (cdr x)))
           nil)
         :exec
         (if (atom x)
             nil
           (acl2::with-local-nrev
                (modinstlist->modnames-nrev x acl2::nrev))))))

Theorem: modnamelist-p-of-modinstlist->modnames

(defthm modnamelist-p-of-modinstlist->modnames
  (b* ((names (modinstlist->modnames x)))
    (modnamelist-p names))
  :rule-classes :rewrite)

Theorem: modinstlist->modnames-of-modinstlist-fix-x

(defthm modinstlist->modnames-of-modinstlist-fix-x
  (equal (modinstlist->modnames (modinstlist-fix x))
         (modinstlist->modnames x)))

Theorem: modinstlist->modnames-modinstlist-equiv-congruence-on-x

(defthm modinstlist->modnames-modinstlist-equiv-congruence-on-x
  (implies (modinstlist-equiv x x-equiv)
           (equal (modinstlist->modnames x)
                  (modinstlist->modnames x-equiv)))
  :rule-classes :congruence)

Theorem: modinstlist->modnames-of-take

(defthm modinstlist->modnames-of-take
  (implies (<= (nfix acl2::n) (len x))
           (equal (modinstlist->modnames (take acl2::n x))
                  (take acl2::n (modinstlist->modnames x))))
  :rule-classes ((:rewrite)))

Theorem: modinstlist->modnames-nrev-removal

(defthm modinstlist->modnames-nrev-removal
  (equal (modinstlist->modnames-nrev x acl2::nrev)
         (append acl2::nrev (modinstlist->modnames x)))
  :rule-classes ((:rewrite)))

Theorem: modinstlist->modnames-exec-removal

(defthm modinstlist->modnames-exec-removal
  (equal (modinstlist->modnames-exec x acl2::acc)
         (revappend (modinstlist->modnames x)
                    acl2::acc))
  :rule-classes ((:rewrite)))

Theorem: modinstlist->modnames-of-rev

(defthm modinstlist->modnames-of-rev
  (equal (modinstlist->modnames (rev x))
         (rev (modinstlist->modnames x)))
  :rule-classes ((:rewrite)))

Theorem: modinstlist->modnames-of-list-fix

(defthm modinstlist->modnames-of-list-fix
  (equal (modinstlist->modnames (list-fix x))
         (modinstlist->modnames x))
  :rule-classes ((:rewrite)))

Theorem: modinstlist->modnames-of-append

(defthm modinstlist->modnames-of-append
  (equal (modinstlist->modnames (append acl2::a acl2::b))
         (append (modinstlist->modnames acl2::a)
                 (modinstlist->modnames acl2::b)))
  :rule-classes ((:rewrite)))

Theorem: cdr-of-modinstlist->modnames

(defthm cdr-of-modinstlist->modnames
  (equal (cdr (modinstlist->modnames x))
         (modinstlist->modnames (cdr x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-modinstlist->modnames

(defthm car-of-modinstlist->modnames
  (equal (car (modinstlist->modnames x))
         (and (consp x)
              (modinst->modname (car x))))
  :rule-classes ((:rewrite)))

Theorem: modinstlist->modnames-under-iff

(defthm modinstlist->modnames-under-iff
  (iff (modinstlist->modnames x)
       (consp x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-modinstlist->modnames

(defthm consp-of-modinstlist->modnames
  (equal (consp (modinstlist->modnames x))
         (consp x))
  :rule-classes ((:rewrite)))

Theorem: len-of-modinstlist->modnames

(defthm len-of-modinstlist->modnames
  (equal (len (modinstlist->modnames x))
         (len x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-modinstlist->modnames

(defthm true-listp-of-modinstlist->modnames
  (true-listp (modinstlist->modnames x))
  :rule-classes :type-prescription)

Theorem: modinstlist->modnames-when-not-consp

(defthm modinstlist->modnames-when-not-consp
  (implies (not (consp x))
           (equal (modinstlist->modnames x) nil))
  :rule-classes ((:rewrite)))

Theorem: modinstlist->modnames-of-cons

(defthm modinstlist->modnames-of-cons
  (equal (modinstlist->modnames (cons acl2::a acl2::b))
         (cons (modinst->modname acl2::a)
               (modinstlist->modnames acl2::b)))
  :rule-classes ((:rewrite)))