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Vl-streamexprlist-update-subexprs

Signature

(vl-streamexprlist-update-subexprs x subexprs) → new-x

Arguments

x — Guard (vl-streamexprlist-p x).

subexprs — Guard (vl-exprlist-p subexprs).

Returns

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

Definitions and Theorems

Function: vl-streamexprlist-update-subexprs

(defun vl-streamexprlist-update-subexprs (x subexprs)
 (declare (xargs :guard (and (vl-streamexprlist-p x)
                             (vl-exprlist-p subexprs))))
 (declare
      (xargs :guard (equal (len subexprs)
                           (len (vl-streamexprlist->subexprs x)))))
 (let ((__function__ 'vl-streamexprlist-update-subexprs))
  (declare (ignorable __function__))
  (if (atom x)
      x
   (let ((len (len (vl-streamexpr->subexprs (car x)))))
    (cons
      (vl-streamexpr-update-subexprs (car x)
                                     (take len subexprs))
      (vl-streamexprlist-update-subexprs (cdr x)
                                         (nthcdr len subexprs)))))))

Theorem: vl-streamexprlist-p-of-vl-streamexprlist-update-subexprs

(defthm vl-streamexprlist-p-of-vl-streamexprlist-update-subexprs
  (b* ((new-x (vl-streamexprlist-update-subexprs x subexprs)))
    (vl-streamexprlist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-streamexprlist-update-subexprs-identity

(defthm vl-streamexprlist-update-subexprs-identity
  (equal (vl-streamexprlist-update-subexprs
              x (vl-streamexprlist->subexprs x))
         (vl-streamexprlist-fix x)))

Theorem: vl-streamexprlist-update-subexprs-identity2

(defthm vl-streamexprlist-update-subexprs-identity2
  (implies (equal (len y)
                  (len (vl-streamexprlist->subexprs x)))
           (equal (vl-streamexprlist->subexprs
                       (vl-streamexprlist-update-subexprs x y))
                  (vl-exprlist-fix y))))

Theorem: vl-streamexprlist-update-subexprs-of-vl-streamexprlist-fix-x

(defthm vl-streamexprlist-update-subexprs-of-vl-streamexprlist-fix-x
 (equal (vl-streamexprlist-update-subexprs (vl-streamexprlist-fix x)
                                           subexprs)
        (vl-streamexprlist-update-subexprs x subexprs)))

Theorem: vl-streamexprlist-update-subexprs-vl-streamexprlist-equiv-congruence-on-x

(defthm
 vl-streamexprlist-update-subexprs-vl-streamexprlist-equiv-congruence-on-x
 (implies
      (vl-streamexprlist-equiv x x-equiv)
      (equal (vl-streamexprlist-update-subexprs x subexprs)
             (vl-streamexprlist-update-subexprs x-equiv subexprs)))
 :rule-classes :congruence)

Theorem: vl-streamexprlist-update-subexprs-of-vl-exprlist-fix-subexprs

(defthm
      vl-streamexprlist-update-subexprs-of-vl-exprlist-fix-subexprs
 (equal
    (vl-streamexprlist-update-subexprs x (vl-exprlist-fix subexprs))
    (vl-streamexprlist-update-subexprs x subexprs)))

Theorem: vl-streamexprlist-update-subexprs-vl-exprlist-equiv-congruence-on-subexprs

(defthm
 vl-streamexprlist-update-subexprs-vl-exprlist-equiv-congruence-on-subexprs
 (implies
      (vl-exprlist-equiv subexprs subexprs-equiv)
      (equal (vl-streamexprlist-update-subexprs x subexprs)
             (vl-streamexprlist-update-subexprs x subexprs-equiv)))
 :rule-classes :congruence)