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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E8">Th12</font></span>: <a NAME="T12"><span class="comment"><font color="firebrick">:: SURREALO:12</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">S</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="surreal0.html#V3" title="SURREAL0:attr.3">surreal-membered</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b1">S</font> is  <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>  holds <br/> ex <font color="Olive" title="b2">Min</font>, <font color="Olive" title="b3">Max</font> being   <a href="surreal0.html#NM1" title="SURREAL0:NM.1">Surreal</a> st <br/>( <font color="Olive" title="b2">Min</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">S</font> &amp; <font color="Olive" title="b3">Max</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">S</font> &amp; (  for <font color="Olive" title="b4">x</font> being   <a href="surreal0.html#NM1" title="SURREAL0:NM.1">Surreal</a>  st <font color="Olive" title="b4">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">S</font> holds <br/>( <font color="Olive" title="b2">Min</font> <a href="surrealo.html#R1" title="SURREALO:pred.1">&lt;=</a> <font color="Olive" title="b4">x</font> &amp; <font color="Olive" title="b4">x</font> <a href="surrealo.html#R1" title="SURREALO:pred.1">&lt;=</a> <font color="Olive" title="b3">Max</font> ) ) )</div></div>
