
(/VERSIONCHECK 2) 

(DEFPARAMETER |PolynomialCategory;CAT| 'NIL) 

(DEFPARAMETER |PolynomialCategory;AL| 'NIL) 

(DEFUN |PolynomialCategory| (&REST #1=#:G6293)
  (LET (#2=#:G6294)
    (COND
     ((SETQ #2# (|assoc| #3=(|devaluateList| #1#) |PolynomialCategory;AL|))
      (CDR #2#))
     (T
      (SETQ |PolynomialCategory;AL|
              (|cons5|
               (CONS #3# (SETQ #2# (APPLY #'|PolynomialCategory;| #1#)))
               |PolynomialCategory;AL|))
      #2#)))) 

(DEFUN |PolynomialCategory;| (|t#1| |t#2| |t#3|)
  (PROG (#1=#:G6292)
    (RETURN
     (PROG1
         (LETT #1#
               (|sublisV|
                (PAIR '(|t#1| |t#2| |t#3|)
                      (LIST (|devaluate| |t#1|) (|devaluate| |t#2|)
                            (|devaluate| |t#3|)))
                (COND (|PolynomialCategory;CAT|)
                      ('T
                       (LETT |PolynomialCategory;CAT|
                             (|Join| (|PartialDifferentialRing| '|t#3|)
                                     (|FiniteAbelianMonoidRing| '|t#1| '|t#2|)
                                     (|Evalable| '$)
                                     (|InnerEvalable| '|t#3| '|t#1|)
                                     (|InnerEvalable| '|t#3| '$)
                                     (|RetractableTo| '|t#3|)
                                     (|FullyLinearlyExplicitRingOver| '|t#1|)
                                     (|mkCategory| '|domain|
                                                   '(((|degree|
                                                       ((|NonNegativeInteger|)
                                                        $ |t#3|))
                                                      T)
                                                     ((|degree|
                                                       ((|List|
                                                         (|NonNegativeInteger|))
                                                        $ (|List| |t#3|)))
                                                      T)
                                                     ((|coefficient|
                                                       ($ $ |t#3|
                                                        (|NonNegativeInteger|)))
                                                      T)
                                                     ((|coefficient|
                                                       ($ $ (|List| |t#3|)
                                                        (|List|
                                                         (|NonNegativeInteger|))))
                                                      T)
                                                     ((|monomials|
                                                       ((|List| $) $))
                                                      T)
                                                     ((|univariate|
                                                       ((|SparseUnivariatePolynomial|
                                                         $)
                                                        $ |t#3|))
                                                      T)
                                                     ((|univariate|
                                                       ((|SparseUnivariatePolynomial|
                                                         |t#1|)
                                                        $))
                                                      T)
                                                     ((|mainVariable|
                                                       ((|Union| |t#3|
                                                                 "failed")
                                                        $))
                                                      T)
                                                     ((|minimumDegree|
                                                       ((|NonNegativeInteger|)
                                                        $ |t#3|))
                                                      T)
                                                     ((|minimumDegree|
                                                       ((|List|
                                                         (|NonNegativeInteger|))
                                                        $ (|List| |t#3|)))
                                                      T)
                                                     ((|monicDivide|
                                                       ((|Record|
                                                         (|:| |quotient| $)
                                                         (|:| |remainder| $))
                                                        $ $ |t#3|))
                                                      T)
                                                     ((|monomial|
                                                       ($ $ |t#3|
                                                        (|NonNegativeInteger|)))
                                                      T)
                                                     ((|monomial|
                                                       ($ $ (|List| |t#3|)
                                                        (|List|
                                                         (|NonNegativeInteger|))))
                                                      T)
                                                     ((|multivariate|
                                                       ($
                                                        (|SparseUnivariatePolynomial|
                                                         |t#1|)
                                                        |t#3|))
                                                      T)
                                                     ((|multivariate|
                                                       ($
                                                        (|SparseUnivariatePolynomial|
                                                         $)
                                                        |t#3|))
                                                      T)
                                                     ((|isPlus|
                                                       ((|Union| (|List| $)
                                                                 "failed")
                                                        $))
                                                      T)
                                                     ((|isTimes|
                                                       ((|Union| (|List| $)
                                                                 "failed")
                                                        $))
                                                      T)
                                                     ((|isExpt|
                                                       ((|Union|
                                                         (|Record|
                                                          (|:| |var| |t#3|)
                                                          (|:| |exponent|
                                                               (|NonNegativeInteger|)))
                                                         "failed")
                                                        $))
                                                      T)
                                                     ((|totalDegree|
                                                       ((|NonNegativeInteger|)
                                                        $))
                                                      T)
                                                     ((|totalDegree|
                                                       ((|NonNegativeInteger|)
                                                        $ (|List| |t#3|)))
                                                      T)
                                                     ((|variables|
                                                       ((|List| |t#3|) $))
                                                      T)
                                                     ((|primitiveMonomials|
                                                       ((|List| $) $))
                                                      T)
                                                     ((|resultant|
                                                       ($ $ $ |t#3|))
                                                      (|has| |t#1|
                                                             (|CommutativeRing|)))
                                                     ((|discriminant|
                                                       ($ $ |t#3|))
                                                      (|has| |t#1|
                                                             (|CommutativeRing|)))
                                                     ((|content| ($ $ |t#3|))
                                                      (|has| |t#1|
                                                             (|GcdDomain|)))
                                                     ((|primitivePart| ($ $))
                                                      (|has| |t#1|
                                                             (|GcdDomain|)))
                                                     ((|primitivePart|
                                                       ($ $ |t#3|))
                                                      (|has| |t#1|
                                                             (|GcdDomain|)))
                                                     ((|squareFree|
                                                       ((|Factored| $) $))
                                                      (|has| |t#1|
                                                             (|GcdDomain|)))
                                                     ((|squareFreePart| ($ $))
                                                      (|has| |t#1|
                                                             (|GcdDomain|))))
                                                   '(((|Comparable|)
                                                      (|has| |t#1|
                                                             (|Comparable|)))
                                                     ((|ConvertibleTo|
                                                       (|InputForm|))
                                                      (AND
                                                       (|has| |t#3|
                                                              (|ConvertibleTo|
                                                               (|InputForm|)))
                                                       (|has| |t#1|
                                                              (|ConvertibleTo|
                                                               (|InputForm|)))))
                                                     ((|ConvertibleTo|
                                                       (|Pattern| (|Integer|)))
                                                      (AND
                                                       (|has| |t#3|
                                                              (|ConvertibleTo|
                                                               (|Pattern|
                                                                (|Integer|))))
                                                       (|has| |t#1|
                                                              (|ConvertibleTo|
                                                               (|Pattern|
                                                                (|Integer|))))))
                                                     ((|ConvertibleTo|
                                                       (|Pattern| (|Float|)))
                                                      (AND
                                                       (|has| |t#3|
                                                              (|ConvertibleTo|
                                                               (|Pattern|
                                                                (|Float|))))
                                                       (|has| |t#1|
                                                              (|ConvertibleTo|
                                                               (|Pattern|
                                                                (|Float|))))))
                                                     ((|PatternMatchable|
                                                       (|Integer|))
                                                      (AND
                                                       (|has| |t#3|
                                                              (|PatternMatchable|
                                                               (|Integer|)))
                                                       (|has| |t#1|
                                                              (|PatternMatchable|
                                                               (|Integer|)))))
                                                     ((|PatternMatchable|
                                                       (|Float|))
                                                      (AND
                                                       (|has| |t#3|
                                                              (|PatternMatchable|
                                                               (|Float|)))
                                                       (|has| |t#1|
                                                              (|PatternMatchable|
                                                               (|Float|)))))
                                                     ((|GcdDomain|)
                                                      (|has| |t#1|
                                                             (|GcdDomain|)))
                                                     ((|canonicalUnitNormal|)
                                                      (|has| |t#1|
                                                             (|canonicalUnitNormal|)))
                                                     ((|PolynomialFactorizationExplicit|)
                                                      (|has| |t#1|
                                                             (|PolynomialFactorizationExplicit|))))
                                                   '((|Factored| $) (|List| $)
                                                     (|List| |t#3|)
                                                     (|NonNegativeInteger|)
                                                     (|SparseUnivariatePolynomial|
                                                      $)
                                                     (|SparseUnivariatePolynomial|
                                                      |t#1|)
                                                     (|List|
                                                      (|NonNegativeInteger|)))
                                                   NIL))
                             . #2=(|PolynomialCategory|)))))
               . #2#)
       (SETELT #1# 0
               (LIST '|PolynomialCategory| (|devaluate| |t#1|)
                     (|devaluate| |t#2|) (|devaluate| |t#3|))))))) 
