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authordos-reis <gdr@axiomatics.org>2011-03-12 17:04:43 +0000
committerdos-reis <gdr@axiomatics.org>2011-03-12 17:04:43 +0000
commit52fddea19454dc2b9bcb54c6edd5a4cd4f5765a9 (patch)
tree4b13ccc6d57c7c1ee615c83615b246c98eae388a /src/algebra/catdef.spad.pamphlet
parent42d38bee45a64edfc12641053e58581c20584363 (diff)
downloadopen-axiom-52fddea19454dc2b9bcb54c6edd5a4cd4f5765a9.tar.gz
* src/algebra/: Systematically use negative? when comparing for
less than 0.
Diffstat (limited to 'src/algebra/catdef.spad.pamphlet')
-rw-r--r--src/algebra/catdef.spad.pamphlet6
1 files changed, 3 insertions, 3 deletions
diff --git a/src/algebra/catdef.spad.pamphlet b/src/algebra/catdef.spad.pamphlet
index fdb915fa..2b6ff9d2 100644
--- a/src/algebra/catdef.spad.pamphlet
+++ b/src/algebra/catdef.spad.pamphlet
@@ -654,9 +654,9 @@ DivisionRing(): Category ==
x ** n: Integer ==
zero? n => 1
zero? x =>
- n<0 => error "division by zero"
+ negative? n => error "division by zero"
x
- n<0 =>
+ negative? n =>
expt(inv x,(-n) pretend PositiveInteger)
expt(x,n pretend PositiveInteger)
-- if % has CharacteristicZero() then
@@ -1066,7 +1066,7 @@ Group(): Category == Monoid with
recip(x:%) == inv(x)
x:% ** n:Integer ==
zero? n => 1
- n<0 => expt(inv(x),(-n) pretend PositiveInteger)
+ negative? n => expt(inv(x),(-n) pretend PositiveInteger)
expt(x,n pretend PositiveInteger)
conjugate(p,q) == inv(q) * p * q
commutator(p,q) == inv(p) * inv(q) * p * q