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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E5">Th4</font></span>: <a NAME="T4"><span class="comment"><font color="firebrick">:: SURREAL0:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">O</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive" title="b2">o</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b2">o</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="surreal0.html#K3" title="SURREAL0:func.3">Games</a> <font color="Olive" title="b1">O</font> iff ( <font color="Olive" title="b2">o</font> is  <a href="xtuple_0.html#V1" title="XTUPLE_0:attr.1">pair</a>  &amp; (  for <font color="Olive" title="b3">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b3">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="surreal0.html#K1" title="SURREAL0:func.1">L_</a> <font color="Olive" title="b2">o</font></span>)</span> <a href="xboole_0.html#K2" title="XBOOLE_0:func.2">\/</a> <span class="p1">(<span class="default"><a href="surreal0.html#K2" title="SURREAL0:func.2">R_</a> <font color="Olive" title="b2">o</font></span>)</span> holds <br/> ex <font color="Olive" title="b4">A</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a> st <br/>( <font color="Olive" title="b4">A</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">O</font> &amp; <font color="Olive" title="b3">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="surreal0.html#K3" title="SURREAL0:func.3">Games</a> <font color="Olive" title="b4">A</font> ) ) ) )</div></div>
