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• Oprewrite

Vl-initiallist-oprewrite

Rewrite operators throughout a vl-initiallist-p

Signature

(vl-initiallist-oprewrite x warnings) → (mv warnings new-x)

Arguments

x — Guard (vl-initiallist-p x).

warnings — Guard (vl-warninglist-p warnings).

Returns

warnings — Type (vl-warninglist-p warnings).

new-x — Type (vl-initiallist-p new-x).

Definitions and Theorems

Function: vl-initiallist-oprewrite

(defun vl-initiallist-oprewrite (x warnings)
  (declare (xargs :guard (and (vl-initiallist-p x)
                              (vl-warninglist-p warnings))))
  (let ((__function__ 'vl-initiallist-oprewrite))
    (declare (ignorable __function__))
    (b* (((when (atom x)) (mv (ok) nil))
         ((mv warnings car-prime)
          (vl-initial-oprewrite (car x) warnings))
         ((mv warnings cdr-prime)
          (vl-initiallist-oprewrite (cdr x)
                                    warnings)))
      (mv warnings (cons car-prime cdr-prime)))))

Theorem: vl-warninglist-p-of-vl-initiallist-oprewrite.warnings

(defthm vl-warninglist-p-of-vl-initiallist-oprewrite.warnings
  (b* (((mv ?warnings ?new-x)
        (vl-initiallist-oprewrite x warnings)))
    (vl-warninglist-p warnings))
  :rule-classes :rewrite)

Theorem: vl-initiallist-p-of-vl-initiallist-oprewrite.new-x

(defthm vl-initiallist-p-of-vl-initiallist-oprewrite.new-x
  (b* (((mv ?warnings ?new-x)
        (vl-initiallist-oprewrite x warnings)))
    (vl-initiallist-p new-x))
  :rule-classes :rewrite)

Theorem: vl-initiallist-oprewrite-mvtypes-1

(defthm vl-initiallist-oprewrite-mvtypes-1
  (true-listp (mv-nth 1
                      (vl-initiallist-oprewrite x warnings)))
  :rule-classes :type-prescription)

Theorem: vl-initiallist-oprewrite-of-vl-initiallist-fix-x

(defthm vl-initiallist-oprewrite-of-vl-initiallist-fix-x
  (equal (vl-initiallist-oprewrite (vl-initiallist-fix x)
                                   warnings)
         (vl-initiallist-oprewrite x warnings)))

Theorem: vl-initiallist-oprewrite-vl-initiallist-equiv-congruence-on-x

(defthm
      vl-initiallist-oprewrite-vl-initiallist-equiv-congruence-on-x
  (implies (vl-initiallist-equiv x x-equiv)
           (equal (vl-initiallist-oprewrite x warnings)
                  (vl-initiallist-oprewrite x-equiv warnings)))
  :rule-classes :congruence)

Theorem: vl-initiallist-oprewrite-of-vl-warninglist-fix-warnings

(defthm vl-initiallist-oprewrite-of-vl-warninglist-fix-warnings
  (equal (vl-initiallist-oprewrite x (vl-warninglist-fix warnings))
         (vl-initiallist-oprewrite x warnings)))

Theorem: vl-initiallist-oprewrite-vl-warninglist-equiv-congruence-on-warnings

(defthm
 vl-initiallist-oprewrite-vl-warninglist-equiv-congruence-on-warnings
 (implies (vl-warninglist-equiv warnings warnings-equiv)
          (equal (vl-initiallist-oprewrite x warnings)
                 (vl-initiallist-oprewrite x warnings-equiv)))
 :rule-classes :congruence)