src/algebra/strap/QFCAT.lsp


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(/VERSIONCHECK 2) 

(DEFPARAMETER |QuotientFieldCategory;CAT| 'NIL) 

(DEFPARAMETER |QuotientFieldCategory;AL| 'NIL) 

(DEFUN |QuotientFieldCategory| (#0=#:G1397)
  (LET (#1=#:G1398)
    (COND
      ((SETQ #1#
             (|assoc| (|devaluate| #0#) |QuotientFieldCategory;AL|))
       (CDR #1#))
      (T (SETQ |QuotientFieldCategory;AL|
               (|cons5| (CONS (|devaluate| #0#)
                              (SETQ #1# (|QuotientFieldCategory;| #0#)))
                        |QuotientFieldCategory;AL|))
         #1#)))) 

(DEFUN |QuotientFieldCategory;| (|t#1|)
  (PROG (#0=#:G1396)
    (RETURN
      (PROG1 (LETT #0#
                   (|sublisV|
                       (PAIR '(|t#1|) (LIST (|devaluate| |t#1|)))
                       (COND
                         (|QuotientFieldCategory;CAT|)
                         ('T
                          (LETT |QuotientFieldCategory;CAT|
                                (|Join| (|Field|) (|Algebra| '|t#1|)
                                        (|RetractableTo| '|t#1|)
                                        (|FullyEvalableOver| '|t#1|)
                                        (|DifferentialExtension|
                                         '|t#1|)
                                        (|FullyLinearlyExplicitRingOver|
                                         '|t#1|)
                                        (|Patternable| '|t#1|)
                                        (|FullyPatternMatchable|
                                         '|t#1|)
                                        (|mkCategory| '|domain|
                                         '(((/ ($ |t#1| |t#1|)) T)
                                           ((|numer| (|t#1| $)) T)
                                           ((|denom| (|t#1| $)) T)
                                           ((|numerator| ($ $)) T)
                                           ((|denominator| ($ $)) T)
                                           ((|wholePart| (|t#1| $))
                                            (|has| |t#1|
                                             (|EuclideanDomain|)))
                                           ((|fractionPart| ($ $))
                                            (|has| |t#1|
                                             (|EuclideanDomain|)))
                                           ((|random| ($))
                                            (|has| |t#1|
                                             (|IntegerNumberSystem|)))
                                           ((|ceiling| (|t#1| $))
                                            (|has| |t#1|
                                             (|IntegerNumberSystem|)))
                                           ((|floor| (|t#1| $))
                                            (|has| |t#1|
                                             (|IntegerNumberSystem|))))
                                         '(((|StepThrough|)
                                            (|has| |t#1|
                                             (|StepThrough|)))
                                           ((|RetractableTo|
                                             (|Integer|))
                                            (|has| |t#1|
                                             (|RetractableTo|
                                              (|Integer|))))
                                           ((|RetractableTo|
                                             (|Fraction| (|Integer|)))
                                            (|has| |t#1|
                                             (|RetractableTo|
                                              (|Integer|))))
                                           ((|OrderedSet|)
                                            (|has| |t#1|
                                             (|OrderedSet|)))
                                           ((|OrderedIntegralDomain|)
                                            (|has| |t#1|
                                             (|OrderedIntegralDomain|)))
                                           ((|RealConstant|)
                                            (|has| |t#1|
                                             (|RealConstant|)))
                                           ((|ConvertibleTo|
                                             (|InputForm|))
                                            (|has| |t#1|
                                             (|ConvertibleTo|
                                              (|InputForm|))))
                                           ((|CharacteristicZero|)
                                            (|has| |t#1|
                                             (|CharacteristicZero|)))
                                           ((|CharacteristicNonZero|)
                                            (|has| |t#1|
                                             (|CharacteristicNonZero|)))
                                           ((|RetractableTo|
                                             (|Symbol|))
                                            (|has| |t#1|
                                             (|RetractableTo|
                                              (|Symbol|))))
                                           ((|PolynomialFactorizationExplicit|)
                                            (|has| |t#1|
                                             (|PolynomialFactorizationExplicit|))))
                                         'NIL NIL))
                                . #1=(|QuotientFieldCategory|))))) . #1#)
        (SETELT #0# 0
                (LIST '|QuotientFieldCategory| (|devaluate| |t#1|))))))) 

(SETQ |$CategoryFrame|
      (|put| '|QuotientFieldCategory| '|isCategory| T
             (|addModemap| '|QuotientFieldCategory|
                 '(|QuotientFieldCategory| |#1|)
                 '((|Category|) (|IntegralDomain|)) T
                 '|QuotientFieldCategory| |$CategoryFrame|)))