
(DEFPARAMETER |TriangularSetCategory;CAT| 'NIL) 

(DECLAIM (NOTINLINE |TriangularSetCategory;|)) 

(DEFPARAMETER |TriangularSetCategory;AL| 'NIL) 

(DEFUN |TriangularSetCategory| (&REST #1=#:G755)
  (LET (#2=#:G756)
    (COND
     ((SETQ #2# (|assoc| #3=(|devaluateList| #1#) |TriangularSetCategory;AL|))
      (CDR #2#))
     (T
      (SETQ |TriangularSetCategory;AL|
              (|cons5|
               (CONS #3# (SETQ #2# (APPLY #'|TriangularSetCategory;| #1#)))
               |TriangularSetCategory;AL|))
      #2#)))) 

(DEFUN |TriangularSetCategory;| (|t#1| |t#2| |t#3| |t#4|)
  (SPROG ((#1=#:G754 NIL))
         (PROG1
             (LETT #1#
                   (|sublisV|
                    (PAIR '(|t#1| |t#2| |t#3| |t#4|)
                          (LIST (|devaluate| |t#1|) (|devaluate| |t#2|)
                                (|devaluate| |t#3|) (|devaluate| |t#4|)))
                    (COND (|TriangularSetCategory;CAT|)
                          ('T
                           (LETT |TriangularSetCategory;CAT|
                                 (|Join|
                                  (|PolynomialSetCategory| '|t#1| '|t#2| '|t#3|
                                                           '|t#4|)
                                  (|finiteAggregate|) (|shallowlyMutable|)
                                  (|mkCategory|
                                   '(((|infRittWu?| ((|Boolean|) $ $)) T)
                                     ((|basicSet|
                                       ((|Union|
                                         (|Record| (|:| |bas| $)
                                                   (|:| |top| (|List| |t#4|)))
                                         "failed")
                                        (|List| |t#4|)
                                        (|Mapping| (|Boolean|) |t#4| |t#4|)))
                                      T)
                                     ((|basicSet|
                                       ((|Union|
                                         (|Record| (|:| |bas| $)
                                                   (|:| |top| (|List| |t#4|)))
                                         "failed")
                                        (|List| |t#4|)
                                        (|Mapping| (|Boolean|) |t#4|)
                                        (|Mapping| (|Boolean|) |t#4| |t#4|)))
                                      T)
                                     ((|initials| ((|List| |t#4|) $)) T)
                                     ((|degree| ((|NonNegativeInteger|) $)) T)
                                     ((|quasiComponent|
                                       ((|Record| (|:| |close| (|List| |t#4|))
                                                  (|:| |open| (|List| |t#4|)))
                                        $))
                                      T)
                                     ((|normalized?| ((|Boolean|) |t#4| $)) T)
                                     ((|normalized?| ((|Boolean|) $)) T)
                                     ((|reduced?|
                                       ((|Boolean|) |t#4| $
                                        (|Mapping| (|Boolean|) |t#4| |t#4|)))
                                      T)
                                     ((|stronglyReduced?|
                                       ((|Boolean|) |t#4| $))
                                      T)
                                     ((|headReduced?| ((|Boolean|) |t#4| $)) T)
                                     ((|initiallyReduced?|
                                       ((|Boolean|) |t#4| $))
                                      T)
                                     ((|autoReduced?|
                                       ((|Boolean|) $
                                        (|Mapping| (|Boolean|) |t#4|
                                                   (|List| |t#4|))))
                                      T)
                                     ((|stronglyReduced?| ((|Boolean|) $)) T)
                                     ((|headReduced?| ((|Boolean|) $)) T)
                                     ((|initiallyReduced?| ((|Boolean|) $)) T)
                                     ((|reduce|
                                       (|t#4| |t#4| $
                                        (|Mapping| |t#4| |t#4| |t#4|)
                                        (|Mapping| (|Boolean|) |t#4| |t#4|)))
                                      T)
                                     ((|rewriteSetWithReduction|
                                       ((|List| |t#4|) (|List| |t#4|) $
                                        (|Mapping| |t#4| |t#4| |t#4|)
                                        (|Mapping| (|Boolean|) |t#4| |t#4|)))
                                      T)
                                     ((|stronglyReduce| (|t#4| |t#4| $)) T)
                                     ((|headReduce| (|t#4| |t#4| $)) T)
                                     ((|initiallyReduce| (|t#4| |t#4| $)) T)
                                     ((|removeZero| (|t#4| |t#4| $)) T)
                                     ((|collectQuasiMonic| ($ $)) T)
                                     ((|reduceByQuasiMonic| (|t#4| |t#4| $)) T)
                                     ((|zeroSetSplit|
                                       ((|List| $) (|List| |t#4|)))
                                      T)
                                     ((|zeroSetSplitIntoTriangularSystems|
                                       ((|List|
                                         (|Record| (|:| |close| $)
                                                   (|:| |open|
                                                        (|List| |t#4|))))
                                        (|List| |t#4|)))
                                      T)
                                     ((|first| ((|Union| |t#4| "failed") $)) T)
                                     ((|last| ((|Union| |t#4| "failed") $)) T)
                                     ((|rest| ((|Union| $ "failed") $)) T)
                                     ((|algebraicVariables| ((|List| |t#3|) $))
                                      T)
                                     ((|algebraic?| ((|Boolean|) |t#3| $)) T)
                                     ((|select|
                                       ((|Union| |t#4| "failed") $ |t#3|))
                                      T)
                                     ((|extendIfCan|
                                       ((|Union| $ "failed") $ |t#4|))
                                      T)
                                     ((|extend| ($ $ |t#4|)) T)
                                     ((|coHeight| ((|NonNegativeInteger|) $))
                                      (|has| |t#3| (|Finite|))))
                                   NIL
                                   '((|NonNegativeInteger|) (|Boolean|)
                                     (|List| |t#3|)
                                     (|List|
                                      (|Record| (|:| |close| $)
                                                (|:| |open| (|List| |t#4|))))
                                     (|List| |t#4|) (|List| $))
                                   NIL))
                                 . #2=(|TriangularSetCategory|)))))
                   . #2#)
           (SETELT #1# 0
                   (LIST '|TriangularSetCategory| (|devaluate| |t#1|)
                         (|devaluate| |t#2|) (|devaluate| |t#3|)
                         (|devaluate| |t#4|)))))) 
