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Vl-hidexpr-update-subexprs

Signature

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

Arguments

x — Guard (vl-hidexpr-p x).

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

Returns

new-x — Type (vl-hidexpr-p new-x).

Definitions and Theorems

Function: vl-hidexpr-update-subexprs

(defun vl-hidexpr-update-subexprs (x subexprs)
 (declare (xargs :guard (and (vl-hidexpr-p x)
                             (vl-exprlist-p subexprs))))
 (declare (xargs :guard (equal (len subexprs)
                               (len (vl-hidexpr->subexprs x)))))
 (let ((__function__ 'vl-hidexpr-update-subexprs))
  (declare (ignorable __function__))
  (vl-hidexpr-case
   x :end (vl-hidexpr-fix x)
   :dot
   (b* (((vl-hidindex x.first))
        (nsubexprs (len x.first.indices))
        (subexprs (vl-exprlist-fix subexprs)))
    (change-vl-hidexpr-dot
      x
      :first (change-vl-hidindex x.first
                                 :indices (take nsubexprs subexprs))
      :rest (vl-hidexpr-update-subexprs
                 x.rest (nthcdr nsubexprs subexprs)))))))

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

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

Theorem: vl-hidexpr-update-subexprs-identity

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

Theorem: vl-hidexpr-update-subexprs-identity2

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

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

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

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

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

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

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

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

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