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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E38">Def12</font></span>   defines <a href="surreal0.html#K9" title="SURREAL0:func.9">No_Ord</a> <a onclick="hs(this)" href="javascript:()">SURREAL0:def 12 : <br/></a><span> for <font color="Olive" title="b1">A</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="surreal0.html#K9" title="SURREAL0:func.9">No_Ord</a> <font color="Olive" title="b1">A</font> iff ( <font color="Olive">b<sub>2</sub></font> <a href="surreal0.html#R4" title="SURREAL0:pred.4">preserves_No_Comparison_on</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#K5" title="SURREAL0:func.5">Day</a> (<font color="Olive">b<sub>2</sub></font>,<font color="Olive" title="b1">A</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="surreal0.html#K5" title="SURREAL0:func.5">Day</a> (<font color="Olive">b<sub>2</sub></font>,<font color="Olive" title="b1">A</font>)</span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> &amp; <font color="Olive">b<sub>2</sub></font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</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#K5" title="SURREAL0:func.5">Day</a> (<font color="Olive">b<sub>2</sub></font>,<font color="Olive" title="b1">A</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="surreal0.html#K5" title="SURREAL0:func.5">Day</a> (<font color="Olive">b<sub>2</sub></font>,<font color="Olive" title="b1">A</font>)</span>)</span></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span> ) );<br/></span></div>
