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We currently have:
Additive inverse:
a + (-a) = (-a) + a = zero
However, this is a little unclear, since there is no unary prefix (-)
available. I think we should do one of the following:
- Swap
sub
andnegate
around, so thatnegate
is part ofRing
, and(-)
is defined asx - y = x + negate y
. - Reformulate the additive inverse law in terms of binary
(-)
, for example:a - a = (zero - a) + a = zero
?
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