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Vl-maybe-exprlist-update-subexprs

Signature

(vl-maybe-exprlist-update-subexprs x subexprs) → new-x

Arguments

x — Guard (vl-maybe-exprlist-p x).

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

Returns

new-x — Type (vl-maybe-exprlist-p new-x).

Definitions and Theorems

Function: vl-maybe-exprlist-update-subexprs

(defun vl-maybe-exprlist-update-subexprs (x subexprs)
  (declare (xargs :guard (and (vl-maybe-exprlist-p x)
                              (vl-exprlist-p subexprs))))
  (declare
       (xargs :guard (equal (len subexprs)
                            (len (vl-maybe-exprlist->subexprs x)))))
  (let ((__function__ 'vl-maybe-exprlist-update-subexprs))
    (declare (ignorable __function__))
    (if (atom x)
        nil
      (if (car x)
          (cons (vl-expr-fix (car subexprs))
                (vl-maybe-exprlist-update-subexprs (cdr x)
                                                   (cdr subexprs)))
        (cons nil
              (vl-maybe-exprlist-update-subexprs (cdr x)
                                                 subexprs))))))

Theorem: vl-maybe-exprlist-p-of-vl-maybe-exprlist-update-subexprs

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

Theorem: vl-maybe-exprlist-update-subexprs-identity

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

Theorem: vl-maybe-exprlist-update-subexprs-identity2

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

Theorem: vl-maybe-exprlist-update-subexprs-of-vl-maybe-exprlist-fix-x

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

Theorem: vl-maybe-exprlist-update-subexprs-vl-maybe-exprlist-equiv-congruence-on-x

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

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

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

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

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