Properties of Rpower
Note:
Rpower is prolongated to
1 on negative real numbers and
it thus does not extend integer power. The next two lemmas, which
hold for integer power, accidentally hold on negative real numbers
as a side effect of the default value taken on negative real
numbers. Contrastingly, the lemmas that do not hold for the
integer power of a negative number are stated for
Rpower on the
positive numbers only (even if they accidentally hold due to the
default value of
Rpower on the negative side, as it is the case
for
Rpower_O).