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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)