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• Vl-lex-integer
• Def-token/remainder-thms

Vl-lex-integer-token/remainder-thms

Token and remainder theorems for vl-lex-integer, automatically generated by def-token/remainder-thms.

Definitions and Theorems

Theorem: vl-token-p-of-vl-lex-integer

(defthm vl-token-p-of-vl-lex-integer
 (implies
  (and (force (vl-echarlist-p echars)) t)
  (equal
       (vl-token-p (mv-nth 0
                           (vl-lex-integer echars breakp warnings)))
       (if (mv-nth 0
                   (vl-lex-integer echars breakp warnings))
           t
         nil))))

Theorem: true-listp-of-vl-lex-integer

(defthm true-listp-of-vl-lex-integer
 (equal
      (true-listp (mv-nth 1
                          (vl-lex-integer echars breakp warnings)))
      (true-listp echars))
 :rule-classes
 ((:rewrite)
  (:type-prescription
     :corollary
     (implies
          (true-listp echars)
          (true-listp
               (mv-nth 1
                       (vl-lex-integer echars breakp warnings)))))))

Theorem: vl-echarlist-p-of-vl-lex-integer

(defthm vl-echarlist-p-of-vl-lex-integer
 (implies
  (force (vl-echarlist-p echars))
  (equal
   (vl-echarlist-p (mv-nth 1
                           (vl-lex-integer echars breakp warnings)))
   t)))

Theorem: append-of-vl-lex-integer

(defthm append-of-vl-lex-integer
 (implies
  (and (mv-nth 0
               (vl-lex-integer echars breakp warnings))
       (force (vl-echarlist-p echars))
       t)
  (equal
      (append (vl-token->etext
                   (mv-nth 0
                           (vl-lex-integer echars breakp warnings)))
              (mv-nth 1
                      (vl-lex-integer echars breakp warnings)))
      echars)))

Theorem: no-change-loser-of-vl-lex-integer

(defthm no-change-loser-of-vl-lex-integer
  (implies (not (mv-nth 0
                        (vl-lex-integer echars breakp warnings)))
           (equal (mv-nth 1
                          (vl-lex-integer echars breakp warnings))
                  echars)))

Theorem: acl2-count-of-vl-lex-integer-weak

(defthm acl2-count-of-vl-lex-integer-weak
  (<= (acl2-count (mv-nth 1
                          (vl-lex-integer echars breakp warnings)))
      (acl2-count echars))
  :rule-classes ((:rewrite) (:linear)))

Theorem: acl2-count-of-vl-lex-integer-strong

(defthm acl2-count-of-vl-lex-integer-strong
 (implies
    (and (mv-nth 0
                 (vl-lex-integer echars breakp warnings))
         t)
    (< (acl2-count (mv-nth 1
                           (vl-lex-integer echars breakp warnings)))
       (acl2-count echars)))
 :rule-classes ((:rewrite) (:linear)))