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    • Example-lexer

    Lex-whitespace

    Match whitespace to create a :whitespace token.

    Signature
    (lex-whitespace sin) → (mv tok sin)
    Arguments
    sin — The sin stobj.
    Returns
    tok — A whitespace token that contains all of the whitespace from the start of the input stream, or nil if there is no leading whitespace.
        Type (equal (token-p tok) (if tok t nil)).
    sin — The remaining input stream, with the leading whitespace removed.

    Definitions and Theorems

    Function: lex-whitespace

    (defun lex-whitespace (sin)
      (declare (xargs :stobjs (sin)))
      (declare (xargs :guard t))
      (let ((__function__ 'lex-whitespace))
        (declare (ignorable __function__))
        (b* (((mv match sin)
              (sin-match-charset* (whitespace-chars)
                                  sin))
             ((unless match) (mv nil sin)))
          (mv (make-token :type :whitespace
                          :text match)
              sin))))

    Theorem: return-type-of-lex-whitespace.tok

    (defthm return-type-of-lex-whitespace.tok
      (b* (((mv ?tok ?sin) (lex-whitespace sin)))
        (equal (token-p tok) (if tok t nil)))
      :rule-classes :rewrite)

    Theorem: lex-whitespace-progress-weak

    (defthm lex-whitespace-progress-weak
      (mv-let (tok new-sin)
              (lex-whitespace sin)
        (declare (ignorable tok new-sin))
        (<= (len (strin-left new-sin))
            (len (strin-left sin))))
      :rule-classes ((:rewrite) (:linear)))

    Theorem: lex-whitespace-progress-strong

    (defthm lex-whitespace-progress-strong
      (mv-let (tok new-sin)
              (lex-whitespace sin)
        (declare (ignorable tok new-sin))
        (implies tok
                 (< (len (strin-left new-sin))
                    (len (strin-left sin)))))
      :rule-classes ((:rewrite) (:linear)))

    Theorem: lex-whitespace-reconstruction

    (defthm lex-whitespace-reconstruction
      (b* (((mv tok new-sin) (lex-whitespace sin)))
        (implies tok
                 (equal (append (explode (token->text tok))
                                (strin-left new-sin))
                        (strin-left sin)))))