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• Vl-read-octal-value
• Def-prefix/remainder-thms

Vl-read-octal-value-prefix/remainder-thms

Prefix and remainder theorems for vl-read-octal-value, automatically generated by def-prefix/remainder-thms.

Definitions and Theorems

Theorem: prefix-of-vl-read-octal-value

(defthm prefix-of-vl-read-octal-value
 (and
     (true-listp (mv-nth 0 (vl-read-octal-value echars)))
     (implies
          (force (vl-echarlist-p echars))
          (vl-echarlist-p (mv-nth 0 (vl-read-octal-value echars)))))
 :rule-classes
 ((:rewrite)
  (:type-prescription
       :corollary
       (true-listp (mv-nth 0 (vl-read-octal-value echars))))))

Theorem: remainder-of-vl-read-octal-value

(defthm remainder-of-vl-read-octal-value
 (and
     (equal (true-listp (mv-nth 1 (vl-read-octal-value echars)))
            (true-listp echars))
     (implies
          (force (vl-echarlist-p echars))
          (vl-echarlist-p (mv-nth 1 (vl-read-octal-value echars)))))
 :rule-classes
 ((:rewrite)
  (:type-prescription
   :corollary
   (implies (true-listp echars)
            (true-listp (mv-nth 1 (vl-read-octal-value echars)))))))

Theorem: append-of-vl-read-octal-value

(defthm append-of-vl-read-octal-value
  (equal (append (mv-nth 0 (vl-read-octal-value echars))
                 (mv-nth 1 (vl-read-octal-value echars)))
         echars))

Theorem: no-change-loser-of-vl-read-octal-value

(defthm no-change-loser-of-vl-read-octal-value
  (implies (not (mv-nth 0 (vl-read-octal-value echars)))
           (equal (mv-nth 1 (vl-read-octal-value echars))
                  echars)))

Theorem: acl2-count-of-vl-read-octal-value-weak

(defthm acl2-count-of-vl-read-octal-value-weak
  (<= (acl2-count (mv-nth 1 (vl-read-octal-value echars)))
      (acl2-count echars))
  :rule-classes ((:rewrite) (:linear)))

Theorem: acl2-count-of-vl-read-octal-value-strong

(defthm acl2-count-of-vl-read-octal-value-strong
  (implies (mv-nth 0 (vl-read-octal-value echars))
           (< (acl2-count (mv-nth 1 (vl-read-octal-value echars)))
              (acl2-count echars)))
  :rule-classes ((:rewrite) (:linear)))