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<div><span class="kw">theorem </span><a NAME="T6"><span class="comment"><font color="firebrick">:: XREAL_1:6</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> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a> holds <br/> ( <font color="Olive" title="b1">a</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">b</font> iff <font color="Olive" title="b1">a</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b3">c</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">b</font> <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> <font color="Olive" title="b3">c</font> ) <span class="kw">by</span> <span class="lab"><a class="txt" href="xreal_1.html#E5"><span class="lab"><font color="Green" title="E5">Lm5</font></span></a>, <a class="txt" href="xreal_1.html#E13"><span class="lab"><font color="Green" title="E12">Lm10</font></span></a></span>;<br/></div></div>
