
(DECLAIM (NOTINLINE |UnivariateFormalPowerSeries;|)) 

(DEFUN |UnivariateFormalPowerSeries| (#1=#:G727)
  (SPROG NIL
         (PROG (#2=#:G728)
           (RETURN
            (COND
             ((LETT #2#
                    (|lassocShiftWithFunction| (LIST (|devaluate| #1#))
                                               (HGET |$ConstructorCache|
                                                     '|UnivariateFormalPowerSeries|)
                                               '|domainEqualList|))
              (|CDRwithIncrement| #2#))
             ('T
              (UNWIND-PROTECT
                  (PROG1 (|UnivariateFormalPowerSeries;| #1#) (LETT #2# T))
                (COND
                 ((NOT #2#)
                  (HREM |$ConstructorCache|
                        '|UnivariateFormalPowerSeries|)))))))))) 

(DEFUN |UnivariateFormalPowerSeries;| (|#1|)
  (SPROG
   ((|pv$| NIL) (#1=#:G721 NIL) (#2=#:G722 NIL) (#3=#:G723 NIL) (#4=#:G726 NIL)
    ($ NIL) (|dv$| NIL) (DV$1 NIL))
   (PROGN
    (LETT DV$1 (|devaluate| |#1|))
    (LETT |dv$| (LIST '|UnivariateFormalPowerSeries| DV$1))
    (LETT $ (GETREFV 30))
    (QSETREFV $ 0 |dv$|)
    (QSETREFV $ 3
              (LETT |pv$|
                    (|buildPredVector| 0 0
                                       (LIST
                                        (|HasCategory| |#1|
                                                       '(|Algebra|
                                                         (|Fraction|
                                                          (|Integer|))))
                                        (|HasCategory| |#1|
                                                       '(|IntegralDomain|))
                                        (|HasCategory| |#1|
                                                       '(|CharacteristicNonZero|))
                                        (|HasCategory| |#1|
                                                       '(|CharacteristicZero|))
                                        (LETT #4#
                                              (|HasCategory| |#1|
                                                             '(|CommutativeRing|)))
                                        (OR #4#
                                            (|HasCategory| |#1|
                                                           '(|IntegralDomain|)))
                                        (|HasSignature| |#1|
                                                        (LIST '*
                                                              (LIST
                                                               (|devaluate|
                                                                |#1|)
                                                               '(|NonNegativeInteger|)
                                                               (|devaluate|
                                                                |#1|))))
                                        (AND
                                         (|HasCategory| |#1|
                                                        '(|PartialDifferentialRing|
                                                          (|Symbol|)))
                                         (|HasSignature| |#1|
                                                         (LIST '*
                                                               (LIST
                                                                (|devaluate|
                                                                 |#1|)
                                                                '(|NonNegativeInteger|)
                                                                (|devaluate|
                                                                 |#1|)))))
                                        (|HasCategory| (|NonNegativeInteger|)
                                                       '(|SemiGroup|))
                                        (|HasSignature| |#1|
                                                        (LIST '^
                                                              (LIST
                                                               (|devaluate|
                                                                |#1|)
                                                               (|devaluate|
                                                                |#1|)
                                                               '(|NonNegativeInteger|))))
                                        (AND
                                         (|HasSignature| |#1|
                                                         (LIST '^
                                                               (LIST
                                                                (|devaluate|
                                                                 |#1|)
                                                                (|devaluate|
                                                                 |#1|)
                                                                '(|NonNegativeInteger|))))
                                         (|HasSignature| |#1|
                                                         (LIST '|coerce|
                                                               (LIST
                                                                (|devaluate|
                                                                 |#1|)
                                                                '(|Symbol|)))))
                                        (LETT #3#
                                              (|HasCategory| |#1|
                                                             '(|SemiRing|)))
                                        (OR #3#
                                            (|HasSignature| |#1|
                                                            (LIST '*
                                                                  (LIST
                                                                   (|devaluate|
                                                                    |#1|)
                                                                   '(|NonNegativeInteger|)
                                                                   (|devaluate|
                                                                    |#1|)))))
                                        (LETT #2#
                                              (|HasCategory| |#1| '(|Ring|)))
                                        (OR #2#
                                            (|HasSignature| |#1|
                                                            (LIST '*
                                                                  (LIST
                                                                   (|devaluate|
                                                                    |#1|)
                                                                   '(|NonNegativeInteger|)
                                                                   (|devaluate|
                                                                    |#1|)))))
                                        (OR
                                         (|HasCategory| |#1|
                                                        '(|Algebra|
                                                          (|Fraction|
                                                           (|Integer|))))
                                         (|HasCategory| |#1|
                                                        '(|CharacteristicNonZero|))
                                         (|HasCategory| |#1|
                                                        '(|CharacteristicZero|))
                                         #4#
                                         (|HasCategory| |#1|
                                                        '(|IntegralDomain|))
                                         #2#
                                         (|HasSignature| |#1|
                                                         (LIST '*
                                                               (LIST
                                                                (|devaluate|
                                                                 |#1|)
                                                                '(|NonNegativeInteger|)
                                                                (|devaluate|
                                                                 |#1|)))))
                                        (|HasCategory| |#1| '(|AbelianMonoid|))
                                        (|HasCategory| |#1|
                                                       '(|CancellationAbelianMonoid|))
                                        (LETT #1#
                                              (|HasCategory| |#1|
                                                             '(|AbelianGroup|)))
                                        (OR
                                         (AND
                                          (|HasCategory| |#1|
                                                         '(|Algebra|
                                                           (|Fraction|
                                                            (|Integer|))))
                                          (|HasCategory|
                                           (|Fraction| (|Integer|))
                                           '(|AbelianMonoid|)))
                                         #1#
                                         (|HasCategory| |#1|
                                                        '(|AbelianMonoid|))
                                         (|HasCategory| |#1|
                                                        '(|CancellationAbelianMonoid|))
                                         (|HasSignature| |#1|
                                                         (LIST '*
                                                               (LIST
                                                                (|devaluate|
                                                                 |#1|)
                                                                '(|NonNegativeInteger|)
                                                                (|devaluate|
                                                                 |#1|)))))
                                        (OR #1#
                                            (|HasCategory| |#1|
                                                           '(|CancellationAbelianMonoid|))
                                            (|HasSignature| |#1|
                                                            (LIST '*
                                                                  (LIST
                                                                   (|devaluate|
                                                                    |#1|)
                                                                   '(|NonNegativeInteger|)
                                                                   (|devaluate|
                                                                    |#1|)))))
                                        (OR #1#
                                            (|HasSignature| |#1|
                                                            (LIST '*
                                                                  (LIST
                                                                   (|devaluate|
                                                                    |#1|)
                                                                   '(|NonNegativeInteger|)
                                                                   (|devaluate|
                                                                    |#1|)))))
                                        (|HasCategory| |#1| '(|Field|))
                                        (OR
                                         (AND
                                          (|HasCategory| |#1|
                                                         '(|Algebra|
                                                           (|Fraction|
                                                            (|Integer|))))
                                          (|HasCategory| |#1|
                                                         '(|AlgebraicallyClosedFunctionSpace|
                                                           (|Integer|)))
                                          (|HasCategory| |#1|
                                                         '(|PrimitiveFunctionCategory|))
                                          (|HasCategory| |#1|
                                                         '(|TranscendentalFunctionCategory|)))
                                         (AND
                                          (|HasCategory| |#1|
                                                         '(|Algebra|
                                                           (|Fraction|
                                                            (|Integer|))))
                                          (|HasSignature| |#1|
                                                          (LIST '|integrate|
                                                                (LIST
                                                                 (|devaluate|
                                                                  |#1|)
                                                                 (|devaluate|
                                                                  |#1|)
                                                                 '(|Symbol|))))
                                          (|HasSignature| |#1|
                                                          (LIST '|variables|
                                                                (LIST
                                                                 '(|List|
                                                                   (|Symbol|))
                                                                 (|devaluate|
                                                                  |#1|))))))))))
    (|haddProp| |$ConstructorCache| '|UnivariateFormalPowerSeries| (LIST DV$1)
                (CONS 1 $))
    (|stuffDomainSlots| $)
    (QSETREFV $ 6 |#1|)
    (AND (|HasCategory| |#1| '(|IntegralDomain|))
         (|HasCategory| $ '(|VariablesCommuteWithCoefficients|))
         (|augmentPredVector| $ 16777216))
    (AND #4# (|HasCategory| $ '(|VariablesCommuteWithCoefficients|))
         (|augmentPredVector| $ 33554432))
    (AND
     (OR (AND #4# (|HasCategory| $ '(|VariablesCommuteWithCoefficients|)))
         (AND (|HasCategory| |#1| '(|IntegralDomain|))
              (|HasCategory| $ '(|VariablesCommuteWithCoefficients|))))
     (|augmentPredVector| $ 67108864))
    (AND
     (OR (AND #4# (|HasCategory| $ '(|VariablesCommuteWithCoefficients|)))
         (AND (|HasCategory| |#1| '(|IntegralDomain|))
              (|HasCategory| $ '(|VariablesCommuteWithCoefficients|)))
         #3#
         (|HasSignature| |#1|
                         (LIST '*
                               (LIST (|devaluate| |#1|) '(|NonNegativeInteger|)
                                     (|devaluate| |#1|)))))
     (|augmentPredVector| $ 134217728))
    (AND
     (OR (AND #4# (|HasCategory| $ '(|VariablesCommuteWithCoefficients|)))
         (AND (|HasCategory| |#1| '(|IntegralDomain|))
              (|HasCategory| $ '(|VariablesCommuteWithCoefficients|)))
         #2#
         (|HasSignature| |#1|
                         (LIST '*
                               (LIST (|devaluate| |#1|) '(|NonNegativeInteger|)
                                     (|devaluate| |#1|)))))
     (|augmentPredVector| $ 268435456))
    (AND
     (OR (|HasCategory| |#1| '(|AbelianMonoid|))
         (AND #4# (|HasCategory| $ '(|VariablesCommuteWithCoefficients|)))
         (AND (|HasCategory| |#1| '(|IntegralDomain|))
              (|HasCategory| $ '(|VariablesCommuteWithCoefficients|)))
         (|HasCategory| $ '(|AbelianMonoid|))
         (|HasSignature| |#1|
                         (LIST '*
                               (LIST (|devaluate| |#1|) '(|NonNegativeInteger|)
                                     (|devaluate| |#1|)))))
     (|augmentPredVector| $ 536870912))
    (AND
     (OR (|HasCategory| |#1| '(|CancellationAbelianMonoid|))
         (AND #4# (|HasCategory| $ '(|VariablesCommuteWithCoefficients|)))
         (AND (|HasCategory| |#1| '(|IntegralDomain|))
              (|HasCategory| $ '(|VariablesCommuteWithCoefficients|)))
         (|HasCategory| $ '(|AbelianGroup|))
         (|HasSignature| |#1|
                         (LIST '*
                               (LIST (|devaluate| |#1|) '(|NonNegativeInteger|)
                                     (|devaluate| |#1|)))))
     (|augmentPredVector| $ 1073741824))
    (AND
     (OR #1# (AND #4# (|HasCategory| $ '(|VariablesCommuteWithCoefficients|)))
         (AND (|HasCategory| |#1| '(|IntegralDomain|))
              (|HasCategory| $ '(|VariablesCommuteWithCoefficients|)))
         (|HasCategory| $ '(|AbelianGroup|))
         (|HasSignature| |#1|
                         (LIST '*
                               (LIST (|devaluate| |#1|) '(|NonNegativeInteger|)
                                     (|devaluate| |#1|)))))
     (|augmentPredVector| $ 2147483648))
    (SETF |pv$| (QREFELT $ 3))
    $))) 

(MAKEPROP '|UnivariateFormalPowerSeries| '|infovec|
          (LIST
           '#(NIL NIL NIL NIL NIL
              (|UnivariateTaylorSeries| 6 (NRTEVAL '|x|)
                                        (NRTEVAL (|spadConstant| $ 7)))
              (|local| |#1|) (0 . |Zero|) (|Boolean|) (|Union| $ '"failed")
              (|Record| (|:| |unit| $) (|:| |canonical| $) (|:| |associate| $))
              (|List| 12) (|Symbol|) (|NonNegativeInteger|) (|List| 13)
              (|Integer|) (|Variable| (NRTEVAL '|x|)) (|Fraction| 15)
              (|Stream| 6) (|UnivariatePolynomial| (NRTEVAL '|x|) 6)
              (|Polynomial| 6) (|Mapping| 6 15)
              (|Record| (|:| |k| 13) (|:| |c| 6)) (|Stream| 22)
              (|PositiveInteger|) (|Mapping| 6 6) (|String|) (|SingleInteger|)
              (|HashState|) (|OutputForm|))
           '#() 'NIL
           (CONS
            (|makeByteWordVec2| 22
                                '(0 0 0 0 2 6 1 6 2 3 4 5 8 7 16 13 16 0 1 6 5
                                  0 0 1 15 0 0 0 0 1 1 16 22 21 13 13 0 0 20 13
                                  0 0 0 6 1 0 0 0 6 2 15 9 1 1 1 1 1 1))
            (CONS
             '#(|UnivariateTaylorSeriesCategory&|
                |UnivariatePowerSeriesCategory&| |PowerSeriesCategory&|
                |AbelianMonoidRing&| NIL NIL |Algebra&| |Algebra&|
                |EntireRing&| NIL NIL |Algebra&| |PartialDifferentialRing&|
                |DifferentialRing&| NIL NIL |Rng&| NIL |Module&| |Module&|
                |Module&| NIL NIL NIL |NonAssociativeRing&| NIL NIL NIL NIL NIL
                NIL |NonAssociativeRng&| |AbelianGroup&| NIL NIL NIL
                |NonAssociativeSemiRng&| NIL |AbelianMonoid&| |MagmaWithUnit&|
                |Magma&| |AbelianSemiGroup&| |SetCategory&| NIL
                |TranscendentalFunctionCategory&| NIL |BasicType&| NIL NIL NIL
                NIL NIL |TrigonometricFunctionCategory&|
                |ArcTrigonometricFunctionCategory&|
                |HyperbolicFunctionCategory&| NIL |ElementaryFunctionCategory&|
                |RadicalCategory&|)
             (CONS
              '#((|UnivariateTaylorSeriesCategory| 6)
                 (|UnivariatePowerSeriesCategory| 6 13)
                 (|PowerSeriesCategory| 6 13 (|SingletonAsOrderedSet|))
                 (|AbelianMonoidRing| 6 13) (|IntegralDomain|)
                 (|CommutativeRing|) (|Algebra| 17) (|Algebra| $$)
                 (|EntireRing|) (|CharacteristicNonZero|)
                 (|CharacteristicZero|) (|Algebra| 6)
                 (|PartialDifferentialRing| 12) (|DifferentialRing|) (|Ring|)
                 (|SemiRing|) (|Rng|) (|SemiRng|) (|Module| 17) (|Module| $$)
                 (|Module| 6) (|BiModule| 6 6) (|BiModule| $$ $$)
                 (|BiModule| 17 17) (|NonAssociativeRing|) (|LeftModule| 6)
                 (|RightModule| 6) (|RightModule| $$) (|LeftModule| $$)
                 (|LeftModule| 17) (|RightModule| 17) (|NonAssociativeRng|)
                 (|AbelianGroup|) (|CancellationAbelianMonoid|)
                 (|NonAssociativeSemiRing|) (|Monoid|)
                 (|NonAssociativeSemiRng|) (|SemiGroup|) (|AbelianMonoid|)
                 (|MagmaWithUnit|) (|Magma|) (|AbelianSemiGroup|)
                 (|SetCategory|) (|CommutativeStar|)
                 (|TranscendentalFunctionCategory|)
                 (|VariablesCommuteWithCoefficients|) (|BasicType|)
                 (|CoercibleTo| 29) (|TwoSidedRecip|) (|noZeroDivisors|)
                 (|unitsKnown|) (|Eltable| $$ $$)
                 (|TrigonometricFunctionCategory|)
                 (|ArcTrigonometricFunctionCategory|)
                 (|HyperbolicFunctionCategory|)
                 (|ArcHyperbolicFunctionCategory|)
                 (|ElementaryFunctionCategory|) (|RadicalCategory|))
              (|makeByteWordVec2| 7 '(0 6 0 7)))))
           '|lookupIncomplete|)) 
