
(/VERSIONCHECK 2) 

(DEFPARAMETER |FiniteAbelianMonoidRing;CAT| 'NIL) 

(DEFPARAMETER |FiniteAbelianMonoidRing;AL| 'NIL) 

(DEFUN |FiniteAbelianMonoidRing| (&REST #1=#:G7383)
  (LET (#2=#:G7384)
    (COND
     ((SETQ #2#
              (|assoc| #3=(|devaluateList| #1#) |FiniteAbelianMonoidRing;AL|))
      (CDR #2#))
     (T
      (SETQ |FiniteAbelianMonoidRing;AL|
              (|cons5|
               (CONS #3# (SETQ #2# (APPLY #'|FiniteAbelianMonoidRing;| #1#)))
               |FiniteAbelianMonoidRing;AL|))
      #2#)))) 

(DEFUN |FiniteAbelianMonoidRing;| (|t#1| |t#2|)
  (PROG (#1=#:G7382)
    (RETURN
     (PROG1
         (LETT #1#
               (|sublisV|
                (PAIR '(|t#1| |t#2|)
                      (LIST (|devaluate| |t#1|) (|devaluate| |t#2|)))
                (COND (|FiniteAbelianMonoidRing;CAT|)
                      ('T
                       (LETT |FiniteAbelianMonoidRing;CAT|
                             (|Join| (|AbelianMonoidRing| '|t#1| '|t#2|)
                                     (|FullyRetractableTo| '|t#1|)
                                     (|mkCategory| '|domain|
                                                   '(((|ground?|
                                                       ((|Boolean|) $))
                                                      T)
                                                     ((|ground| (|t#1| $)) T)
                                                     ((|coefficients|
                                                       ((|List| |t#1|) $))
                                                      T)
                                                     ((|numberOfMonomials|
                                                       ((|NonNegativeInteger|)
                                                        $))
                                                      T)
                                                     ((|minimumDegree|
                                                       (|t#2| $))
                                                      T)
                                                     ((|mapExponents|
                                                       ($
                                                        (|Mapping| |t#2| |t#2|)
                                                        $))
                                                      T)
                                                     ((|pomopo!|
                                                       ($ $ |t#1| |t#2| $))
                                                      T)
                                                     ((|binomThmExpt|
                                                       ($ $ $
                                                        (|NonNegativeInteger|)))
                                                      (|has| |t#1|
                                                             (|CommutativeRing|)))
                                                     ((|exquo|
                                                       ((|Union| $ "failed") $
                                                        |t#1|))
                                                      (|has| |t#1|
                                                             (|IntegralDomain|)))
                                                     ((|content| (|t#1| $))
                                                      (|has| |t#1|
                                                             (|GcdDomain|)))
                                                     ((|primitivePart| ($ $))
                                                      (|has| |t#1|
                                                             (|GcdDomain|))))
                                                   NIL
                                                   '((|NonNegativeInteger|)
                                                     (|List| |t#1|)
                                                     (|Boolean|))
                                                   NIL))
                             . #2=(|FiniteAbelianMonoidRing|)))))
               . #2#)
       (SETELT #1# 0
               (LIST '|FiniteAbelianMonoidRing| (|devaluate| |t#1|)
                     (|devaluate| |t#2|))))))) 
