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• Vl-read-string-escape-sequence
• Def-prefix/remainder-thms

Vl-read-string-escape-sequence-prefix/remainder-thms

Prefix and remainder theorems for vl-read-string-escape-sequence, automatically generated by def-prefix/remainder-thms.

Definitions and Theorems

Theorem: prefix-of-vl-read-string-escape-sequence

(defthm prefix-of-vl-read-string-escape-sequence
 (and
  (true-listp
       (mv-nth 1
               (vl-read-string-escape-sequence echars config)))
  (implies
     (force (vl-echarlist-p echars))
     (vl-echarlist-p
          (mv-nth 1
                  (vl-read-string-escape-sequence echars config)))))
 :rule-classes
 ((:rewrite)
  (:type-prescription
    :corollary
    (true-listp
         (mv-nth 1
                 (vl-read-string-escape-sequence echars config))))))

Theorem: remainder-of-vl-read-string-escape-sequence

(defthm remainder-of-vl-read-string-escape-sequence
 (and
  (equal
       (true-listp
            (mv-nth 2
                    (vl-read-string-escape-sequence echars config)))
       (true-listp echars))
  (implies
     (force (vl-echarlist-p echars))
     (vl-echarlist-p
          (mv-nth 2
                  (vl-read-string-escape-sequence echars config)))))
 :rule-classes
 ((:rewrite)
  (:type-prescription
   :corollary
   (implies
    (true-listp echars)
    (true-listp
        (mv-nth 2
                (vl-read-string-escape-sequence echars config)))))))

Theorem: append-of-vl-read-string-escape-sequence

(defthm append-of-vl-read-string-escape-sequence
 (equal
    (append (mv-nth 1
                    (vl-read-string-escape-sequence echars config))
            (mv-nth 2
                    (vl-read-string-escape-sequence echars config)))
    echars))

Theorem: no-change-loser-of-vl-read-string-escape-sequence

(defthm no-change-loser-of-vl-read-string-escape-sequence
 (implies
      (not (mv-nth 1
                   (vl-read-string-escape-sequence echars config)))
      (equal (mv-nth 2
                     (vl-read-string-escape-sequence echars config))
             echars)))

Theorem: acl2-count-of-vl-read-string-escape-sequence-weak

(defthm acl2-count-of-vl-read-string-escape-sequence-weak
  (<= (acl2-count
           (mv-nth 2
                   (vl-read-string-escape-sequence echars config)))
      (acl2-count echars))
  :rule-classes ((:rewrite) (:linear)))

Theorem: acl2-count-of-vl-read-string-escape-sequence-strong

(defthm acl2-count-of-vl-read-string-escape-sequence-strong
 (implies
    (mv-nth 1
            (vl-read-string-escape-sequence echars config))
    (< (acl2-count
            (mv-nth 2
                    (vl-read-string-escape-sequence echars config)))
       (acl2-count echars)))
 :rule-classes ((:rewrite) (:linear)))