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• Vl-gateinst-dirassign

Vl-plainarglist-assign-last-dir

Assign DIR to the last argument in the list X, leave the other arguments unchanged.

Signature

(vl-plainarglist-assign-last-dir dir x) → new-x

Arguments

dir — Guard (vl-direction-p dir).

x — Guard (vl-plainarglist-p x).

Returns

new-x — Type (vl-plainarglist-p new-x).

Definitions and Theorems

Function: vl-plainarglist-assign-last-dir

(defun vl-plainarglist-assign-last-dir (dir x)
 (declare (xargs :guard (and (vl-direction-p dir)
                             (vl-plainarglist-p x))))
 (let ((__function__ 'vl-plainarglist-assign-last-dir))
   (declare (ignorable __function__))
   (cond ((atom x) nil)
         ((atom (cdr x))
          (list (change-vl-plainarg (car x)
                                    :dir (vl-direction-fix dir))))
         (t (cons (vl-plainarg-fix (car x))
                  (vl-plainarglist-assign-last-dir dir (cdr x)))))))

Theorem: vl-plainarglist-p-of-vl-plainarglist-assign-last-dir

(defthm vl-plainarglist-p-of-vl-plainarglist-assign-last-dir
  (b* ((new-x (vl-plainarglist-assign-last-dir dir x)))
    (vl-plainarglist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-plainarglist-assign-last-dir-of-vl-direction-fix-dir

(defthm vl-plainarglist-assign-last-dir-of-vl-direction-fix-dir
  (equal (vl-plainarglist-assign-last-dir (vl-direction-fix dir)
                                          x)
         (vl-plainarglist-assign-last-dir dir x)))

Theorem: vl-plainarglist-assign-last-dir-vl-direction-equiv-congruence-on-dir

(defthm
 vl-plainarglist-assign-last-dir-vl-direction-equiv-congruence-on-dir
 (implies (vl-direction-equiv dir dir-equiv)
          (equal (vl-plainarglist-assign-last-dir dir x)
                 (vl-plainarglist-assign-last-dir dir-equiv x)))
 :rule-classes :congruence)

Theorem: vl-plainarglist-assign-last-dir-of-vl-plainarglist-fix-x

(defthm vl-plainarglist-assign-last-dir-of-vl-plainarglist-fix-x
  (equal
       (vl-plainarglist-assign-last-dir dir (vl-plainarglist-fix x))
       (vl-plainarglist-assign-last-dir dir x)))

Theorem: vl-plainarglist-assign-last-dir-vl-plainarglist-equiv-congruence-on-x

(defthm
 vl-plainarglist-assign-last-dir-vl-plainarglist-equiv-congruence-on-x
 (implies (vl-plainarglist-equiv x x-equiv)
          (equal (vl-plainarglist-assign-last-dir dir x)
                 (vl-plainarglist-assign-last-dir dir x-equiv)))
 :rule-classes :congruence)