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Vl-range-update-subexprs

Signature

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

Arguments

x — Guard (vl-range-p x).

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

Returns

new-x — Type (vl-range-p new-x).

Definitions and Theorems

Function: vl-range-update-subexprs

(defun vl-range-update-subexprs (x subexprs)
       (declare (xargs :guard (and (vl-range-p x)
                                   (vl-exprlist-p subexprs))))
       (declare (xargs :guard (equal (len subexprs)
                                     (len (vl-range->subexprs x)))))
       (let ((__function__ 'vl-range-update-subexprs))
            (declare (ignorable __function__))
            (change-vl-range x
                             :msb (car subexprs)
                             :lsb (cadr subexprs))))

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

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

Theorem: vl-range-update-subexprs-identity

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

Theorem: vl-range-update-subexprs-identity2

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

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

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

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

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

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

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

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

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