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• Drop-missing-submodules

Vl-modulelist-drop-missing-submodules

(vl-modulelist-drop-missing-submodules x ss) maps vl-module-drop-missing-submodules across a list.

Signature

(vl-modulelist-drop-missing-submodules x ss) → new-x

Arguments

x — Guard (vl-modulelist-p x).

ss — Guard (vl-scopestack-p ss).

Returns

new-x — Type (vl-modulelist-p new-x).

This is an ordinary defprojection.

Definitions and Theorems

Function: vl-modulelist-drop-missing-submodules-exec

(defun vl-modulelist-drop-missing-submodules-exec (x ss acc)
  (declare (xargs :guard (and (vl-modulelist-p x)
                              (vl-scopestack-p ss))))
  (declare (xargs :guard t))
  (let ((__function__ 'vl-modulelist-drop-missing-submodules-exec))
    (declare (ignorable __function__))
    (if (consp x)
        (vl-modulelist-drop-missing-submodules-exec
             (cdr x)
             ss
             (cons (vl-module-drop-missing-submodules (car x)
                                                      ss)
                   acc))
      acc)))

Function: vl-modulelist-drop-missing-submodules-nrev

(defun vl-modulelist-drop-missing-submodules-nrev (x ss nrev)
 (declare (xargs :stobjs (nrev)))
 (declare (xargs :guard (and (vl-modulelist-p x)
                             (vl-scopestack-p ss))))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-modulelist-drop-missing-submodules-nrev))
  (declare (ignorable __function__))
  (if (atom x)
      (nrev-fix nrev)
   (let ((nrev (nrev-push (vl-module-drop-missing-submodules (car x)
                                                             ss)
                          nrev)))
     (vl-modulelist-drop-missing-submodules-nrev (cdr x)
                                                 ss nrev)))))

Function: vl-modulelist-drop-missing-submodules

(defun vl-modulelist-drop-missing-submodules (x ss)
 (declare (xargs :guard (and (vl-modulelist-p x)
                             (vl-scopestack-p ss))))
 (declare (xargs :guard t))
 (let ((__function__ 'vl-modulelist-drop-missing-submodules))
  (declare (ignorable __function__))
  (mbe
   :logic
   (if (consp x)
       (cons (vl-module-drop-missing-submodules (car x)
                                                ss)
             (vl-modulelist-drop-missing-submodules (cdr x)
                                                    ss))
     nil)
   :exec
   (if (atom x)
       nil
    (with-local-nrev
         (vl-modulelist-drop-missing-submodules-nrev x ss nrev))))))

Theorem: vl-modulelist-p-of-vl-modulelist-drop-missing-submodules

(defthm vl-modulelist-p-of-vl-modulelist-drop-missing-submodules
  (b* ((new-x (vl-modulelist-drop-missing-submodules x ss)))
    (vl-modulelist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-modulelist-drop-missing-submodules-of-vl-modulelist-fix-x

(defthm vl-modulelist-drop-missing-submodules-of-vl-modulelist-fix-x
 (equal (vl-modulelist-drop-missing-submodules (vl-modulelist-fix x)
                                               ss)
        (vl-modulelist-drop-missing-submodules x ss)))

Theorem: vl-modulelist-drop-missing-submodules-vl-modulelist-equiv-congruence-on-x

(defthm
 vl-modulelist-drop-missing-submodules-vl-modulelist-equiv-congruence-on-x
 (implies
      (vl-modulelist-equiv x x-equiv)
      (equal (vl-modulelist-drop-missing-submodules x ss)
             (vl-modulelist-drop-missing-submodules x-equiv ss)))
 :rule-classes :congruence)

Theorem: vl-modulelist-drop-missing-submodules-of-vl-scopestack-fix-ss

(defthm
      vl-modulelist-drop-missing-submodules-of-vl-scopestack-fix-ss
 (equal
    (vl-modulelist-drop-missing-submodules x (vl-scopestack-fix ss))
    (vl-modulelist-drop-missing-submodules x ss)))

Theorem: vl-modulelist-drop-missing-submodules-vl-scopestack-equiv-congruence-on-ss

(defthm
 vl-modulelist-drop-missing-submodules-vl-scopestack-equiv-congruence-on-ss
 (implies
      (vl-scopestack-equiv ss ss-equiv)
      (equal (vl-modulelist-drop-missing-submodules x ss)
             (vl-modulelist-drop-missing-submodules x ss-equiv)))
 :rule-classes :congruence)

Theorem: vl-modulelist-drop-missing-submodules-of-update-nth

(defthm vl-modulelist-drop-missing-submodules-of-update-nth
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
   (vl-modulelist-drop-missing-submodules
        (update-nth acl2::n acl2::v acl2::x)
        ss)
   (update-nth acl2::n
               (vl-module-drop-missing-submodules acl2::v ss)
               (vl-modulelist-drop-missing-submodules acl2::x ss))))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-missing-submodules-of-revappend

(defthm vl-modulelist-drop-missing-submodules-of-revappend
 (equal
  (vl-modulelist-drop-missing-submodules (revappend acl2::x acl2::y)
                                         ss)
  (revappend (vl-modulelist-drop-missing-submodules acl2::x ss)
             (vl-modulelist-drop-missing-submodules acl2::y ss)))
 :rule-classes ((:rewrite)))

Theorem: nthcdr-of-vl-modulelist-drop-missing-submodules

(defthm nthcdr-of-vl-modulelist-drop-missing-submodules
 (equal
     (nthcdr acl2::n
             (vl-modulelist-drop-missing-submodules acl2::x ss))
     (vl-modulelist-drop-missing-submodules (nthcdr acl2::n acl2::x)
                                            ss))
 :rule-classes ((:rewrite)))

Theorem: nth-of-vl-modulelist-drop-missing-submodules

(defthm nth-of-vl-modulelist-drop-missing-submodules
  (equal
       (nth acl2::n
            (vl-modulelist-drop-missing-submodules acl2::x ss))
       (and (< (nfix acl2::n) (len acl2::x))
            (vl-module-drop-missing-submodules (nth acl2::n acl2::x)
                                               ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-missing-submodules-nrev-removal

(defthm vl-modulelist-drop-missing-submodules-nrev-removal
 (equal (vl-modulelist-drop-missing-submodules-nrev acl2::x ss nrev)
        (append nrev
                (vl-modulelist-drop-missing-submodules acl2::x ss)))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-missing-submodules-exec-removal

(defthm vl-modulelist-drop-missing-submodules-exec-removal
 (equal
   (vl-modulelist-drop-missing-submodules-exec acl2::x ss acl2::acc)
   (revappend (vl-modulelist-drop-missing-submodules acl2::x ss)
              acl2::acc))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-missing-submodules-of-take

(defthm vl-modulelist-drop-missing-submodules-of-take
 (implies
  (<= (nfix acl2::n) (len acl2::x))
  (equal
       (vl-modulelist-drop-missing-submodules (take acl2::n acl2::x)
                                              ss)
       (take acl2::n
             (vl-modulelist-drop-missing-submodules acl2::x ss))))
 :rule-classes ((:rewrite)))

Theorem: set-equiv-congruence-over-vl-modulelist-drop-missing-submodules

(defthm
    set-equiv-congruence-over-vl-modulelist-drop-missing-submodules
 (implies
     (set-equiv acl2::x acl2::y)
     (set-equiv (vl-modulelist-drop-missing-submodules acl2::x ss)
                (vl-modulelist-drop-missing-submodules acl2::y ss)))
 :rule-classes ((:congruence)))

Theorem: subsetp-of-vl-modulelist-drop-missing-submodules-when-subsetp

(defthm
      subsetp-of-vl-modulelist-drop-missing-submodules-when-subsetp
  (implies
       (subsetp acl2::x acl2::y)
       (subsetp (vl-modulelist-drop-missing-submodules acl2::x ss)
                (vl-modulelist-drop-missing-submodules acl2::y ss)))
  :rule-classes ((:rewrite)))

Theorem: member-of-vl-module-drop-missing-submodules-in-vl-modulelist-drop-missing-submodules

(defthm
 member-of-vl-module-drop-missing-submodules-in-vl-modulelist-drop-missing-submodules
 (implies
      (member acl2::k acl2::x)
      (member (vl-module-drop-missing-submodules acl2::k ss)
              (vl-modulelist-drop-missing-submodules acl2::x ss)))
 :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-missing-submodules-of-rev

(defthm vl-modulelist-drop-missing-submodules-of-rev
  (equal (vl-modulelist-drop-missing-submodules (rev acl2::x)
                                                ss)
         (rev (vl-modulelist-drop-missing-submodules acl2::x ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-missing-submodules-of-list-fix

(defthm vl-modulelist-drop-missing-submodules-of-list-fix
  (equal (vl-modulelist-drop-missing-submodules (list-fix acl2::x)
                                                ss)
         (vl-modulelist-drop-missing-submodules acl2::x ss))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-missing-submodules-of-append

(defthm vl-modulelist-drop-missing-submodules-of-append
 (equal
     (vl-modulelist-drop-missing-submodules (append acl2::a acl2::b)
                                            ss)
     (append (vl-modulelist-drop-missing-submodules acl2::a ss)
             (vl-modulelist-drop-missing-submodules acl2::b ss)))
 :rule-classes ((:rewrite)))

Theorem: cdr-of-vl-modulelist-drop-missing-submodules

(defthm cdr-of-vl-modulelist-drop-missing-submodules
  (equal (cdr (vl-modulelist-drop-missing-submodules acl2::x ss))
         (vl-modulelist-drop-missing-submodules (cdr acl2::x)
                                                ss))
  :rule-classes ((:rewrite)))

Theorem: car-of-vl-modulelist-drop-missing-submodules

(defthm car-of-vl-modulelist-drop-missing-submodules
  (equal (car (vl-modulelist-drop-missing-submodules acl2::x ss))
         (and (consp acl2::x)
              (vl-module-drop-missing-submodules (car acl2::x)
                                                 ss)))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-missing-submodules-under-iff

(defthm vl-modulelist-drop-missing-submodules-under-iff
  (iff (vl-modulelist-drop-missing-submodules acl2::x ss)
       (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: consp-of-vl-modulelist-drop-missing-submodules

(defthm consp-of-vl-modulelist-drop-missing-submodules
  (equal (consp (vl-modulelist-drop-missing-submodules acl2::x ss))
         (consp acl2::x))
  :rule-classes ((:rewrite)))

Theorem: len-of-vl-modulelist-drop-missing-submodules

(defthm len-of-vl-modulelist-drop-missing-submodules
  (equal (len (vl-modulelist-drop-missing-submodules acl2::x ss))
         (len acl2::x))
  :rule-classes ((:rewrite)))

Theorem: true-listp-of-vl-modulelist-drop-missing-submodules

(defthm true-listp-of-vl-modulelist-drop-missing-submodules
  (true-listp (vl-modulelist-drop-missing-submodules acl2::x ss))
  :rule-classes :type-prescription)

Theorem: vl-modulelist-drop-missing-submodules-when-not-consp

(defthm vl-modulelist-drop-missing-submodules-when-not-consp
  (implies (not (consp acl2::x))
           (equal (vl-modulelist-drop-missing-submodules acl2::x ss)
                  nil))
  :rule-classes ((:rewrite)))

Theorem: vl-modulelist-drop-missing-submodules-of-cons

(defthm vl-modulelist-drop-missing-submodules-of-cons
  (equal
       (vl-modulelist-drop-missing-submodules (cons acl2::a acl2::b)
                                              ss)
       (cons (vl-module-drop-missing-submodules acl2::a ss)
             (vl-modulelist-drop-missing-submodules acl2::b ss)))
  :rule-classes ((:rewrite)))