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• Split

Vl-assignlist-split

Signature

(vl-assignlist-split x delta) → (mv new-x delta)

Arguments

x — Guard (vl-assignlist-p x).

delta — Guard (vl-delta-p delta).

Returns

new-x — Type (vl-assignlist-p new-x), given the guard.

delta — Type (vl-delta-p delta), given the guard.

Definitions and Theorems

Function: vl-assignlist-split

(defun vl-assignlist-split (x delta)
  (declare (xargs :guard (and (vl-assignlist-p x)
                              (vl-delta-p delta))))
  (let ((__function__ 'vl-assignlist-split))
    (declare (ignorable __function__))
    (b* (((when (atom x)) (mv nil delta))
         ((mv car delta)
          (vl-assign-split (car x) delta))
         ((mv cdr delta)
          (vl-assignlist-split (cdr x) delta)))
      (mv (cons car cdr) delta))))

Theorem: vl-assignlist-p-of-vl-assignlist-split.new-x

(defthm vl-assignlist-p-of-vl-assignlist-split.new-x
  (implies (and (force (vl-assignlist-p x))
                (force (vl-delta-p delta)))
           (b* (((mv ?new-x ?delta)
                 (vl-assignlist-split x delta)))
             (vl-assignlist-p new-x)))
  :rule-classes :rewrite)

Theorem: vl-delta-p-of-vl-assignlist-split.delta

(defthm vl-delta-p-of-vl-assignlist-split.delta
  (implies (and (force (vl-assignlist-p x))
                (force (vl-delta-p delta)))
           (b* (((mv ?new-x ?delta)
                 (vl-assignlist-split x delta)))
             (vl-delta-p delta)))
  :rule-classes :rewrite)