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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E49">Th45</font></span>: <a NAME="T45"><span class="comment"><font color="firebrick">:: XXREAL_3:45</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font>, <font color="Olive" title="b3">z</font> being   <a href="xxreal_0.html#NM1" title="XXREAL_0:NM.1">ExtReal</a>  st <font color="Olive" title="b1">x</font> is  <a href="xreal_0.html#V1" title="XREAL_0:attr.1">real</a>  holds <br/>( <font color="Olive" title="b2">y</font> <a href="xxreal_3.html#K1" title="XXREAL_3:func.1">+</a> <font color="Olive" title="b1">x</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">z</font> iff <font color="Olive" title="b2">y</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">z</font> <a href="xxreal_3.html#K3" title="XXREAL_3:func.3">-</a> <font color="Olive" title="b1">x</font> )</div></div>
