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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">Th13</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: SURREALO:13</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>  holds <br/>(  not <font color="Olive" title="b1">x</font> <a href="surrealo.html#NR3" title="SURREALO:NR.3">&lt;</a> <font color="Olive" title="b2">y</font> or  ex <font color="Olive" title="b3">xR</font> being   <a href="surreal0.html#NM1" title="SURREAL0:NM.1">Surreal</a> st <br/>( <font color="Olive" title="b3">xR</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="surreal0.html#K2" title="SURREAL0:func.2">R_</a> <font color="Olive" title="b1">x</font> &amp; <font color="Olive" title="b1">x</font> <a href="surrealo.html#NR3" title="SURREALO:NR.3">&lt;</a> <font color="Olive" title="b3">xR</font> &amp; <font color="Olive" title="b3">xR</font> <a href="surrealo.html#R1" title="SURREALO:pred.1">&lt;=</a> <font color="Olive" title="b2">y</font> ) or  ex <font color="Olive" title="b3">yL</font> being   <a href="surreal0.html#NM1" title="SURREAL0:NM.1">Surreal</a> st <br/>( <font color="Olive" title="b3">yL</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="surreal0.html#K1" title="SURREAL0:func.1">L_</a> <font color="Olive" title="b2">y</font> &amp; <font color="Olive" title="b1">x</font> <a href="surrealo.html#R1" title="SURREALO:pred.1">&lt;=</a> <font color="Olive" title="b3">yL</font> &amp; <font color="Olive" title="b3">yL</font> <a href="surrealo.html#NR3" title="SURREALO:NR.3">&lt;</a> <font color="Olive" title="b2">y</font> ) )</div></div>
