(/VERSIONCHECK 2) 

(DEFPARAMETER |EuclideanDomain;AL| 'NIL) 

(DEFUN |EuclideanDomain;| ()
  (LET ((#0=#:G1414
            (|Join| (|PrincipalIdealDomain|)
                    (|mkCategory| '|domain|
                        '(((|sizeLess?| ((|Boolean|) $ $)) T)
                          ((|euclideanSize| ((|NonNegativeInteger|) $))
                           T)
                          ((|divide|
                               ((|Record| (|:| |quotient| $)
                                    (|:| |remainder| $))
                                $ $))
                           T)
                          ((|quo| ($ $ $)) T) ((|rem| ($ $ $)) T)
                          ((|extendedEuclidean|
                               ((|Record| (|:| |coef1| $)
                                    (|:| |coef2| $)
                                    (|:| |generator| $))
                                $ $))
                           T)
                          ((|extendedEuclidean|
                               ((|Union| (|Record| (|:| |coef1| $)
                                          (|:| |coef2| $))
                                         "failed")
                                $ $ $))
                           T)
                          ((|multiEuclidean|
                               ((|Union| (|List| $) "failed")
                                (|List| $) $))
                           T))
                        NIL
                        '((|List| $) (|NonNegativeInteger|)
                          (|Boolean|))
                        NIL))))
    (|setShellEntry| #0# 0 '(|EuclideanDomain|))
    #0#)) 

(DEFUN |EuclideanDomain| ()
  (COND
    (|EuclideanDomain;AL|)
    (T (SETQ |EuclideanDomain;AL| (|EuclideanDomain;|))))) 

(MAKEPROP '|EuclideanDomain| 'NILADIC T)