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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E19">Def10</font></span>   defines <a href="surreal0.html#K8" title="SURREAL0:func.8">ClosedProd</a> <a onclick="hs(this)" href="javascript:()">SURREAL0:def 10 : <br/></a><span> for <font color="Olive" title="b1">R</font> being   <a href="relat_1.html#NM1" title="RELAT_1:NM.1">Relation</a><br/>  for <font color="Olive" title="b2">A</font>, <font color="Olive" title="b3">B</font> being   <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a><br/>  for <font color="Olive">b<sub>4</sub></font> being   <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of <span class="p1">(<span class="default"><a href="surreal0.html#K5" title="SURREAL0:func.5">Day</a> (<font color="Olive" title="b1">R</font>,<font color="Olive" title="b2">A</font>)</span>)</span> holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="surreal0.html#K8" title="SURREAL0:func.8">ClosedProd</a> (<font color="Olive" title="b1">R</font>,<font color="Olive" title="b2">A</font>,<font color="Olive" title="b3">B</font>) iff  for <font color="Olive" title="b5">x</font>, <font color="Olive" title="b6">y</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="surreal0.html#K5" title="SURREAL0:func.5">Day</a> (<font color="Olive" title="b1">R</font>,<font color="Olive" title="b2">A</font>) holds <br/> ( <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b5">x</font>,<font color="Olive" title="b6">y</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive">b<sub>4</sub></font> iff ( (  <a href="surreal0.html#K6" title="SURREAL0:func.6">born</a> (<font color="Olive" title="b1">R</font>,<font color="Olive" title="b5">x</font>) <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">A</font> &amp;  <a href="surreal0.html#K6" title="SURREAL0:func.6">born</a> (<font color="Olive" title="b1">R</font>,<font color="Olive" title="b6">y</font>) <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">A</font> ) or (  <a href="surreal0.html#K6" title="SURREAL0:func.6">born</a> (<font color="Olive" title="b1">R</font>,<font color="Olive" title="b5">x</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">A</font> &amp;  <a href="surreal0.html#K6" title="SURREAL0:func.6">born</a> (<font color="Olive" title="b1">R</font>,<font color="Olive" title="b6">y</font>) <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b3">B</font> ) or (  <a href="surreal0.html#K6" title="SURREAL0:func.6">born</a> (<font color="Olive" title="b1">R</font>,<font color="Olive" title="b5">x</font>) <a href="ordinal1.html#R1" title="ORDINAL1:pred.1">c=</a> <font color="Olive" title="b3">B</font> &amp;  <a href="surreal0.html#K6" title="SURREAL0:func.6">born</a> (<font color="Olive" title="b1">R</font>,<font color="Olive" title="b6">y</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">A</font> ) ) ) );<br/></span></div>
