Question 1073324
If {{{a<b}}} , for any number {{{k>0}}} , {{{ka<kb}}} .
Since {{{0<A<B}}} , {{{B>0}}} , {{{1/A>0}}} and {{{1/B>0}}} .
{{{system(A<B,1/B>0)}}}-->{{{(1/B)A<(1/B)B}}}-->{{{A/B<B/B}}}-->{{{A/B<1}}}
{{{system(A<B,1/A>0)}}}-->{{{(1/A)A<(1/A)B}}}-->{{{A/A<B/A}}}-->{{{1<B/A}}}
{{{system(A/B<1,1<B/A)}}} ---> {{{A/B<B/A}}}