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

Vl-lex-token-token/remainder-thms

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

Definitions and Theorems

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

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

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

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

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

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

Theorem: append-of-vl-lex-token

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

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

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

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

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

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

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