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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th29</font></span>: <a NAME="T29"><span class="comment"><font color="firebrick">:: SURREALO:29</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">x</font>, <font color="Olive" title="b2">y</font> being   <a href="surreal0.html#NM1" title="SURREAL0:NM.1">Surreal</a><br/>  for <font color="Olive" title="b3">X1</font>, <font color="Olive" title="b4">X2</font>, <font color="Olive" title="b5">Y1</font>, <font color="Olive" title="b6">Y2</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b3">X1</font> <a href="surrealo.html#R4" title="SURREALO:pred.4">&lt;==&gt;</a> <font color="Olive" title="b4">X2</font> &amp; <font color="Olive" title="b5">Y1</font> <a href="surrealo.html#R4" title="SURREALO:pred.4">&lt;==&gt;</a> <font color="Olive" title="b6">Y2</font> &amp; <font color="Olive" title="b1">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b3">X1</font>,<font color="Olive" title="b5">Y1</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp; <font color="Olive" title="b2">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b4">X2</font>,<font color="Olive" title="b6">Y2</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> holds <br/><font color="Olive" title="b1">x</font> <a href="surrealo.html#R2" title="SURREALO:pred.2">==</a> <font color="Olive" title="b2">y</font></div></div>
