Re: help showing something is the infimim of a set

In article <gbcar0$j9g$1@xxxxxxxx>, rabbits77 <rabbits77@xxxxxxxxxxx>
wrote:

If set A is a subset of the Reals and x_0 is the minimal number in A,
then inf A=x_0.


If A is the set of positive reals, what is the "minimal number in A?"


ok, well, x_0 is clearly a lower bound of A.
If there exists any x < x_0 than it is not in the set...
Yeah, but this one seems tricky. What should I do to show that
this is the infimum?
.