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• Abstract-hids

Vl-hidexpr->rest

Signature

(vl-hidexpr->rest x) → rest

Arguments

x — Guard (vl-expr-p x).

Returns

rest — Type (and (vl-expr-p rest) (implies (and (vl-hidexpr-p x) (not (vl-hidexpr->endp x))) (vl-hidexpr-p rest))) .

Definitions and Theorems

Function: vl-hidexpr->rest

(defun vl-hidexpr->rest (x)
  (declare (xargs :guard (vl-expr-p x)))
  (declare (xargs :guard (and (vl-hidexpr-p x)
                              (not (vl-hidexpr->endp x)))))
  (let ((__function__ 'vl-hidexpr->rest))
    (declare (ignorable __function__))
    (vl-expr-fix (second (vl-nonatom->args x)))))

Theorem: return-type-of-vl-hidexpr->rest

(defthm return-type-of-vl-hidexpr->rest
  (b* ((rest (vl-hidexpr->rest x)))
    (and (vl-expr-p rest)
         (implies (and (vl-hidexpr-p x)
                       (not (vl-hidexpr->endp x)))
                  (vl-hidexpr-p rest))))
  :rule-classes :rewrite)

Theorem: vl-expr-count-of-vl-hidexpr->rest

(defthm vl-expr-count-of-vl-hidexpr->rest
  (implies (not (vl-hidexpr->endp x))
           (< (vl-expr-count (vl-hidexpr->rest x))
              (vl-expr-count x)))
  :rule-classes :linear)

Theorem: vl-expr-count-of-vl-hidexpr-pieces

(defthm vl-expr-count-of-vl-hidexpr-pieces
  (implies (and (vl-hidexpr-p x)
                (not (vl-hidexpr->endp x)))
           (< (+ (vl-expr-count (vl-hidexpr->first x))
                 (vl-expr-count (vl-hidexpr->rest x)))
              (vl-expr-count x)))
  :rule-classes :linear)

Theorem: vl-hidexpr->rest-of-vl-expr-fix-x

(defthm vl-hidexpr->rest-of-vl-expr-fix-x
  (equal (vl-hidexpr->rest (vl-expr-fix x))
         (vl-hidexpr->rest x)))

Theorem: vl-hidexpr->rest-vl-expr-equiv-congruence-on-x

(defthm vl-hidexpr->rest-vl-expr-equiv-congruence-on-x
  (implies (vl-expr-equiv x x-equiv)
           (equal (vl-hidexpr->rest x)
                  (vl-hidexpr->rest x-equiv)))
  :rule-classes :congruence)