
(DEFPARAMETER |PermutationCategory;CAT| 'NIL) 

(DECLAIM (NOTINLINE |PermutationCategory;|)) 

(DEFPARAMETER |PermutationCategory;AL| 'NIL) 

(DEFUN |PermutationCategory| (|t#1|)
  (LET (#1=#:G691 (#2=#:G692 (|devaluate| |t#1|)))
    (COND ((SETQ #1# (|assoc| #2# |PermutationCategory;AL|)) (CDR #1#))
          (T
           (SETQ |PermutationCategory;AL|
                   (|cons5| (CONS #2# (SETQ #1# (|PermutationCategory;| #2#)))
                            |PermutationCategory;AL|))
           #1#)))) 

(DEFUN |PermutationCategory;| (|t#1|)
  (SPROG ((#1=#:G690 NIL))
         (PROG1
             (LETT #1#
                   (|sublisV| (PAIR '(|t#1|) (LIST |t#1|))
                              (COND (|PermutationCategory;CAT|)
                                    ('T
                                     (LETT |PermutationCategory;CAT|
                                           (|Join| (|Group|)
                                                   (|mkCategory|
                                                    '(((|cycle|
                                                        ($ (|List| |t#1|)))
                                                       T)
                                                      ((|cycles|
                                                        ($
                                                         (|List|
                                                          (|List| |t#1|))))
                                                       T)
                                                      ((|eval| (|t#1| $ |t#1|))
                                                       T)
                                                      ((|elt| (|t#1| $ |t#1|))
                                                       T)
                                                      ((|orbit|
                                                        ((|Set| |t#1|) $
                                                         |t#1|))
                                                       T)
                                                      ((< ((|Boolean|) $ $))
                                                       T))
                                                    '(((|OrderedSet|)
                                                       (|has| |t#1|
                                                              (|OrderedSet|)))
                                                      ((|OrderedSet|)
                                                       (|has| |t#1|
                                                              (|Finite|))))
                                                    NIL NIL)))))))
           (SETELT #1# 0 (LIST '|PermutationCategory| |t#1|))))) 
