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          • Esim-vl-iopattern-entrylist->basenames
          • Esim-vl-iopattern-entrylist-p
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          • Esim-vl-iopattern-entry->basename
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• Esim-vl-iopattern-p

Esim-vl-iopattern-entrylist->basenames

(esim-vl-iopattern-entrylist->basenames x) maps esim-vl-iopattern-entry->basename across a list.

Signature

(esim-vl-iopattern-entrylist->basenames x) → *

This is an ordinary defprojection.

Definitions and Theorems

Function: esim-vl-iopattern-entrylist->basenames-exec

(defun esim-vl-iopattern-entrylist->basenames-exec (x acc)
  (declare (xargs :guard (esim-vl-iopattern-entrylist-p x)))
  (let ((__function__ 'esim-vl-iopattern-entrylist->basenames-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (esim-vl-iopattern-entrylist->basenames-exec
             (cdr x)
             (cons (esim-vl-iopattern-entry->basename (car x))
                   acc))
      acc)))

Function: esim-vl-iopattern-entrylist->basenames-nrev

(defun esim-vl-iopattern-entrylist->basenames-nrev (x nrev)
 (declare (xargs :stobjs (nrev)))
 (declare (xargs :guard (esim-vl-iopattern-entrylist-p x)))
 (let ((__function__ 'esim-vl-iopattern-entrylist->basenames-nrev))
  (declare (ignorable __function__))
  (if (atom x)
      (nrev-fix nrev)
    (let
       ((nrev (nrev-push (esim-vl-iopattern-entry->basename (car x))
                         nrev)))
      (esim-vl-iopattern-entrylist->basenames-nrev (cdr x)
                                                   nrev)))))

Function: esim-vl-iopattern-entrylist->basenames

(defun esim-vl-iopattern-entrylist->basenames (x)
 (declare (xargs :guard (esim-vl-iopattern-entrylist-p x)))
 (let ((__function__ 'esim-vl-iopattern-entrylist->basenames))
  (declare (ignorable __function__))
  (mbe
    :logic
    (if (consp x)
        (cons (esim-vl-iopattern-entry->basename (car x))
              (esim-vl-iopattern-entrylist->basenames (cdr x)))
      nil)
    :exec
    (if (atom x)
        nil
      (with-local-nrev
           (esim-vl-iopattern-entrylist->basenames-nrev x nrev))))))

Theorem: esim-vl-iopattern-entrylist->basenames-nrev-removal

(defthm esim-vl-iopattern-entrylist->basenames-nrev-removal
  (equal (esim-vl-iopattern-entrylist->basenames-nrev acl2::x nrev)
         (append nrev
                 (esim-vl-iopattern-entrylist->basenames acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: esim-vl-iopattern-entrylist->basenames-exec-removal

(defthm esim-vl-iopattern-entrylist->basenames-exec-removal
 (equal
     (esim-vl-iopattern-entrylist->basenames-exec acl2::x acl2::acc)
     (revappend (esim-vl-iopattern-entrylist->basenames acl2::x)
                acl2::acc))
 :rule-classes ((:rewrite)))

Theorem: esim-vl-iopattern-entrylist->basenames-of-take

(defthm esim-vl-iopattern-entrylist->basenames-of-take
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
     (esim-vl-iopattern-entrylist->basenames (take acl2::n acl2::x))
     (take acl2::n
           (esim-vl-iopattern-entrylist->basenames acl2::x))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-esim-vl-iopattern-entrylist->basenames

(defthm
   set-equiv-congruence-over-esim-vl-iopattern-entrylist->basenames
  (implies
       (set-equiv acl2::x acl2::y)
       (set-equiv (esim-vl-iopattern-entrylist->basenames acl2::x)
                  (esim-vl-iopattern-entrylist->basenames acl2::y)))
  :rule-classes ((:congruence)))

Theorem: subsetp-of-esim-vl-iopattern-entrylist->basenames-when-subsetp

(defthm
     subsetp-of-esim-vl-iopattern-entrylist->basenames-when-subsetp
  (implies
       (subsetp acl2::x acl2::y)
       (subsetp (esim-vl-iopattern-entrylist->basenames acl2::x)
                (esim-vl-iopattern-entrylist->basenames acl2::y)))
  :rule-classes ((:rewrite)))

Theorem: member-of-esim-vl-iopattern-entry->basename-in-esim-vl-iopattern-entrylist->basenames

(defthm
 member-of-esim-vl-iopattern-entry->basename-in-esim-vl-iopattern-entrylist->basenames
 (implies (member acl2::k acl2::x)
          (member (esim-vl-iopattern-entry->basename acl2::k)
                  (esim-vl-iopattern-entrylist->basenames acl2::x)))
 :rule-classes ((:rewrite)))

Theorem: esim-vl-iopattern-entrylist->basenames-of-rev

(defthm esim-vl-iopattern-entrylist->basenames-of-rev
  (equal (esim-vl-iopattern-entrylist->basenames (rev acl2::x))
         (rev (esim-vl-iopattern-entrylist->basenames acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: esim-vl-iopattern-entrylist->basenames-of-list-fix

(defthm esim-vl-iopattern-entrylist->basenames-of-list-fix
  (equal (esim-vl-iopattern-entrylist->basenames (list-fix acl2::x))
         (esim-vl-iopattern-entrylist->basenames acl2::x))
  :rule-classes ((:rewrite)))

Theorem: esim-vl-iopattern-entrylist->basenames-of-append

(defthm esim-vl-iopattern-entrylist->basenames-of-append
 (equal
   (esim-vl-iopattern-entrylist->basenames (append acl2::a acl2::b))
   (append (esim-vl-iopattern-entrylist->basenames acl2::a)
           (esim-vl-iopattern-entrylist->basenames acl2::b)))
 :rule-classes ((:rewrite)))

Theorem: cdr-of-esim-vl-iopattern-entrylist->basenames

(defthm cdr-of-esim-vl-iopattern-entrylist->basenames
  (equal (cdr (esim-vl-iopattern-entrylist->basenames acl2::x))
         (esim-vl-iopattern-entrylist->basenames (cdr acl2::x)))
  :rule-classes ((:rewrite)))

Theorem: car-of-esim-vl-iopattern-entrylist->basenames

(defthm car-of-esim-vl-iopattern-entrylist->basenames
  (equal (car (esim-vl-iopattern-entrylist->basenames acl2::x))
         (and (consp acl2::x)
              (esim-vl-iopattern-entry->basename (car acl2::x))))
  :rule-classes ((:rewrite)))

Theorem: esim-vl-iopattern-entrylist->basenames-under-iff

(defthm esim-vl-iopattern-entrylist->basenames-under-iff
  (iff (esim-vl-iopattern-entrylist->basenames acl2::x)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-esim-vl-iopattern-entrylist->basenames

(defthm consp-of-esim-vl-iopattern-entrylist->basenames
  (equal (consp (esim-vl-iopattern-entrylist->basenames acl2::x))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-esim-vl-iopattern-entrylist->basenames

(defthm len-of-esim-vl-iopattern-entrylist->basenames
  (equal (len (esim-vl-iopattern-entrylist->basenames acl2::x))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-esim-vl-iopattern-entrylist->basenames

(defthm true-listp-of-esim-vl-iopattern-entrylist->basenames
  (true-listp (esim-vl-iopattern-entrylist->basenames acl2::x))
  :rule-classes :type-prescription)

Theorem: esim-vl-iopattern-entrylist->basenames-when-not-consp

(defthm esim-vl-iopattern-entrylist->basenames-when-not-consp
  (implies (not (consp acl2::x))
           (equal (esim-vl-iopattern-entrylist->basenames acl2::x)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: esim-vl-iopattern-entrylist->basenames-of-cons

(defthm esim-vl-iopattern-entrylist->basenames-of-cons
 (equal
     (esim-vl-iopattern-entrylist->basenames (cons acl2::a acl2::b))
     (cons (esim-vl-iopattern-entry->basename acl2::a)
           (esim-vl-iopattern-entrylist->basenames acl2::b)))
 :rule-classes ((:rewrite)))