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<div><span class="kw">theorem </span><a NAME="T14"><span class="comment"><font color="firebrick">:: SURREAL0:14</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive" title="b3">R</font>, <font color="Olive" title="b4">S</font> being   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a>  st <font color="Olive" title="b3">R</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="surreal0.html#K4" title="SURREAL0:func.4">BeforeGames</a> <font color="Olive" title="b1">A</font></span>)</span>,<span class="p2">(<span class="default"><a href="surreal0.html#K4" title="SURREAL0:func.4">BeforeGames</a> <font color="Olive" title="b1">A</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">S</font> <a href="xboole_0.html#K3" title="XBOOLE_0:func.3">/\</a> <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="surreal0.html#K4" title="SURREAL0:func.4">BeforeGames</a> <font color="Olive" title="b1">A</font></span>)</span>,<span class="p2">(<span class="default"><a href="surreal0.html#K4" title="SURREAL0:func.4">BeforeGames</a> <font color="Olive" title="b1">A</font></span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> holds <br/> <a href="surreal0.html#K7" title="SURREAL0:func.7">OpenProd</a> (<font color="Olive" title="b3">R</font>,<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="surreal0.html#K7" title="SURREAL0:func.7">OpenProd</a> (<font color="Olive" title="b4">S</font>,<font color="Olive" title="b1">A</font>,<font color="Olive" title="b2">B</font>)</div></div>
