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Vl-arrayrange-update-subexprs

Signature

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

Arguments

x — Guard (vl-arrayrange-p x).

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

Returns

new-x — Type (vl-arrayrange-p new-x).

Definitions and Theorems

Function: vl-arrayrange-update-subexprs

(defun vl-arrayrange-update-subexprs (x subexprs)
 (declare (xargs :guard (and (vl-arrayrange-p x)
                             (vl-exprlist-p subexprs))))
 (declare (xargs :guard (equal (len subexprs)
                               (len (vl-arrayrange->subexprs x)))))
 (let ((__function__ 'vl-arrayrange-update-subexprs))
   (declare (ignorable __function__))
   (vl-arrayrange-case
        x
        :none (vl-arrayrange-fix x)
        :index (vl-expr->arrayrange (car subexprs))
        :range (vl-range->arrayrange
                    (vl-range-update-subexprs x.range subexprs))
        :plusminus
        (vl-plusminus->arrayrange
             (vl-plusminus-update-subexprs x.plusminus subexprs)))))

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

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

Theorem: vl-arrayrange-update-subexprs-identity

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

Theorem: vl-arrayrange-update-subexprs-identity2

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

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

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

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

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

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

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

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

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