
(/VERSIONCHECK 2) 

(DEFPARAMETER |AbelianMonoidRing;CAT| 'NIL) 

(DEFPARAMETER |AbelianMonoidRing;AL| 'NIL) 

(DEFUN |AbelianMonoidRing| (&REST #1=#:G7187)
  (LET (#2=#:G7188)
    (COND
     ((SETQ #2# (|assoc| #3=(|devaluateList| #1#) |AbelianMonoidRing;AL|))
      (CDR #2#))
     (T
      (SETQ |AbelianMonoidRing;AL|
              (|cons5| (CONS #3# (SETQ #2# (APPLY #'|AbelianMonoidRing;| #1#)))
                       |AbelianMonoidRing;AL|))
      #2#)))) 

(DEFUN |AbelianMonoidRing;| (|t#1| |t#2|)
  (PROG (#1=#:G7186)
    (RETURN
     (PROG1
         (LETT #1#
               (|sublisV|
                (PAIR '(|t#1| |t#2|)
                      (LIST (|devaluate| |t#1|) (|devaluate| |t#2|)))
                (COND (|AbelianMonoidRing;CAT|)
                      ('T
                       (LETT |AbelianMonoidRing;CAT|
                             (|Join| (|Ring|) (|BiModule| '|t#1| '|t#1|)
                                     (|mkCategory| '|domain|
                                                   '(((|leadingCoefficient|
                                                       (|t#1| $))
                                                      T)
                                                     ((|leadingMonomial| ($ $))
                                                      T)
                                                     ((|degree| (|t#2| $)) T)
                                                     ((|map|
                                                       ($
                                                        (|Mapping| |t#1| |t#1|)
                                                        $))
                                                      T)
                                                     ((|monomial?|
                                                       ((|Boolean|) $))
                                                      T)
                                                     ((|monomial|
                                                       ($ |t#1| |t#2|))
                                                      T)
                                                     ((|reductum| ($ $)) T)
                                                     ((|coefficient|
                                                       (|t#1| $ |t#2|))
                                                      T)
                                                     ((/ ($ $ |t#1|))
                                                      (|has| |t#1| (|Field|))))
                                                   '(((|CommutativeRing|)
                                                      (|has| |t#1|
                                                             (|CommutativeRing|)))
                                                     ((|Algebra| |t#1|)
                                                      (|has| |t#1|
                                                             (|CommutativeRing|)))
                                                     ((|CharacteristicZero|)
                                                      (|has| |t#1|
                                                             (|CharacteristicZero|)))
                                                     ((|CharacteristicNonZero|)
                                                      (|has| |t#1|
                                                             (|CharacteristicNonZero|)))
                                                     ((|IntegralDomain|)
                                                      (|has| |t#1|
                                                             (|IntegralDomain|)))
                                                     ((|Algebra|
                                                       (|Fraction|
                                                        (|Integer|)))
                                                      (|has| |t#1|
                                                             (|Algebra|
                                                              (|Fraction|
                                                               (|Integer|))))))
                                                   '((|Boolean|)) NIL))
                             . #2=(|AbelianMonoidRing|)))))
               . #2#)
       (SETELT #1# 0
               (LIST '|AbelianMonoidRing| (|devaluate| |t#1|)
                     (|devaluate| |t#2|))))))) 
