
(DEFPARAMETER |PartialDifferentialRing;CAT| 'NIL) 

(DECLAIM (NOTINLINE |PartialDifferentialRing;|)) 

(DEFPARAMETER |PartialDifferentialRing;AL| 'NIL) 

(DEFUN |PartialDifferentialRing| (|t#1|)
  (LET (#1=#:G1 (#2=#:G2 (|devaluate| |t#1|)))
    (COND ((SETQ #1# (|assoc| #2# |PartialDifferentialRing;AL|)) (CDR #1#))
          (T
           (SETQ |PartialDifferentialRing;AL|
                   (|cons5|
                    (CONS #2# (SETQ #1# (|PartialDifferentialRing;| #2#)))
                    |PartialDifferentialRing;AL|))
           #1#)))) 

(DEFUN |PartialDifferentialRing;| (|t#1|)
  (SPROG ((#1=#:G0 NIL))
         (PROG1
             (LETT #1#
                   (|subst_in_cat| '(|t#1|) (LIST |t#1|)
                                   (COND (|PartialDifferentialRing;CAT|)
                                         ('T
                                          (LETT |PartialDifferentialRing;CAT|
                                                (|Join| (|Ring|)
                                                        (|mkCategory|
                                                         '(((|differentiate|
                                                             (% % |t#1|))
                                                            T)
                                                           ((|differentiate|
                                                             (% %
                                                              (|List| |t#1|)))
                                                            T)
                                                           ((|differentiate|
                                                             (% % |t#1|
                                                              (|NonNegativeInteger|)))
                                                            T)
                                                           ((|differentiate|
                                                             (% %
                                                              (|List| |t#1|)
                                                              (|List|
                                                               (|NonNegativeInteger|))))
                                                            T)
                                                           ((D (% % |t#1|)) T)
                                                           ((D
                                                             (% %
                                                              (|List| |t#1|)))
                                                            T)
                                                           ((D
                                                             (% % |t#1|
                                                              (|NonNegativeInteger|)))
                                                            T)
                                                           ((D
                                                             (% %
                                                              (|List| |t#1|)
                                                              (|List|
                                                               (|NonNegativeInteger|))))
                                                            T))
                                                         NIL NIL NIL)))))))
           (SETELT #1# 0 (LIST '|PartialDifferentialRing| |t#1|))))) 
