Thread: how to show show this proof using MAX

i know that the fundamental law is using maximum in the red marked areas

but here
http://img105.imageshack.us/img105/6868/23385717yq6.gif
they use MIN because its 1/expression

??

What exactly is your question? You have just made a statement about max!
In the proof, by letting the author insures both the previous conditions will remain true.

i saw a similar proof that i published before which is very similar to this one but uses MAX
and i am puzzled
why?