
(/VERSIONCHECK 2) 

(DEFPARAMETER |FramedAlgebra;CAT| 'NIL) 

(DEFPARAMETER |FramedAlgebra;AL| 'NIL) 

(DEFUN |FramedAlgebra| (&REST #1=#:G6468)
  (LET (#2=#:G6469)
    (COND
     ((SETQ #2# (|assoc| #3=(|devaluateList| #1#) |FramedAlgebra;AL|))
      (CDR #2#))
     (T
      (SETQ |FramedAlgebra;AL|
              (|cons5| (CONS #3# (SETQ #2# (APPLY #'|FramedAlgebra;| #1#)))
                       |FramedAlgebra;AL|))
      #2#)))) 

(DEFUN |FramedAlgebra;| (|t#1| |t#2|)
  (PROG (#1=#:G6467)
    (RETURN
     (PROG1
         (LETT #1#
               (|sublisV|
                (PAIR '(|t#1| |t#2|)
                      (LIST (|devaluate| |t#1|) (|devaluate| |t#2|)))
                (COND (|FramedAlgebra;CAT|)
                      ('T
                       (LETT |FramedAlgebra;CAT|
                             (|Join| (|FiniteRankAlgebra| '|t#1| '|t#2|)
                                     (|mkCategory| '|domain|
                                                   '(((|basis| ((|Vector| $)))
                                                      T)
                                                     ((|coordinates|
                                                       ((|Vector| |t#1|) $))
                                                      T)
                                                     ((|coordinates|
                                                       ((|Matrix| |t#1|)
                                                        (|Vector| $)))
                                                      T)
                                                     ((|represents|
                                                       ($ (|Vector| |t#1|)))
                                                      T)
                                                     ((|convert|
                                                       ((|Vector| |t#1|) $))
                                                      T)
                                                     ((|convert|
                                                       ($ (|Vector| |t#1|)))
                                                      T)
                                                     ((|traceMatrix|
                                                       ((|Matrix| |t#1|)))
                                                      T)
                                                     ((|discriminant| (|t#1|))
                                                      T)
                                                     ((|regularRepresentation|
                                                       ((|Matrix| |t#1|) $))
                                                      T))
                                                   NIL
                                                   '((|Matrix| |t#1|)
                                                     (|Vector| |t#1|)
                                                     (|Vector| $))
                                                   NIL))
                             . #2=(|FramedAlgebra|)))))
               . #2#)
       (SETELT #1# 0
               (LIST '|FramedAlgebra| (|devaluate| |t#1|)
                     (|devaluate| |t#2|))))))) 
