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• Vl-gateinst-dirassign

Vl-plainarglist-assign-dir

Assign DIR to every argument in the list X.

Signature

(vl-plainarglist-assign-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-dir

(defun vl-plainarglist-assign-dir (dir x)
  (declare (xargs :guard (and (vl-direction-p dir)
                              (vl-plainarglist-p x))))
  (let ((__function__ 'vl-plainarglist-assign-dir))
    (declare (ignorable __function__))
    (if (atom x)
        nil
      (cons (change-vl-plainarg (car x)
                                :dir (vl-direction-fix dir))
            (vl-plainarglist-assign-dir dir (cdr x))))))

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

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

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

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

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

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

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

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

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

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