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<div><span class="kw">theorem </span><a NAME="T40"><span class="comment"><font color="firebrick">:: COMPLEX3:40</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font>, <font color="Olive" title="b2">b</font>, <font color="Olive" title="b3">c</font>, <font color="Olive" title="b4">d</font> being   <a href="xxreal_0.html#V2" title="XXREAL_0:attr.2">positive</a>  <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b1">a</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b2">b</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">c</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b4">d</font> holds <br/>(  <a href="xxreal_0.html#K4" title="XXREAL_0:func.4">max</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>) <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a>  <a href="xxreal_0.html#K4" title="XXREAL_0:func.4">max</a> (<font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font>) iff  <a href="xxreal_0.html#K3" title="XXREAL_0:func.3">min</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">b</font>) <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="xxreal_0.html#K3" title="XXREAL_0:func.3">min</a> (<font color="Olive" title="b3">c</font>,<font color="Olive" title="b4">d</font>) )</div></div>
