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Math Help - more mathematica, result 0 < n < negative number ???

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    more mathematica, result 0 < n < negative number ???

    I input the following to mathematica...

    m>n>0, \ \ \ p>q>0, \ \ \ q=p-\sqrt{2p^2-(m^2+2mn-n^2)},
    pq(p^2-q^2)>2mn(m^2-n^2)

    and part of the result is

    0<n<-\sqrt{2}\sqrt{4\sqrt{3}m^2+7m^2}-2\sqrt{3}m-3m

    with m>0, surely the RHS must be negative, so how can n be greater than zero and less than a negative number ?
    Last edited by tmoria; April 24th 2013 at 04:37 PM.
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