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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E43">Def15</font></span>   defines <a href="surreali.html#K13" title="SURREALI:func.13">divset</a> <a onclick="hs(this)" href="javascript:()">SURREALI:def 15 : <br/></a><span> for <font color="Olive" title="b1">X</font>, <font color="Olive" title="b2">Y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">x</font> being   <a href="surreal0.html#NM1" title="SURREAL0:NM.1">Surreal</a><br/>  for <font color="Olive">b<sub>4</sub></font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <font color="Olive">b<sub>4</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="surreali.html#K13" title="SURREALI:func.13">divset</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b3">x</font>,<font color="Olive" title="b2">Y</font>) iff  for <font color="Olive" title="b5">o</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b5">o</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive">b<sub>4</sub></font> iff  ex <font color="Olive" title="b6">x1</font>, <font color="Olive" title="b7">y1</font> being   <a href="surreal0.html#NM1" title="SURREAL0:NM.1">Surreal</a> st <br/>(  <a href="surreal0.html#K11" title="SURREAL0:func.11">0_No</a>  <a href="surrealo.html#NR3" title="SURREALO:NR.3">&lt;</a> <font color="Olive" title="b6">x1</font> &amp; <font color="Olive" title="b6">x1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b1">X</font> &amp; <font color="Olive" title="b7">y1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">Y</font> &amp; <font color="Olive" title="b5">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="surrealo.html#K1" title="SURREALO:func.1">1_No</a> <a href="surrealr.html#K8" title="SURREALR:func.8">+</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b6">x1</font> <a href="surrealr.html#K10" title="SURREALR:func.10">-</a> <font color="Olive" title="b3">x</font></span>)</span> <a href="surrealr.html#K16" title="SURREALR:func.16">*</a> <font color="Olive" title="b7">y1</font></span>)</span></span>)</span> <a href="surrealr.html#K16" title="SURREALR:func.16">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">x1</font> <a href="surreali.html#K12" title="SURREALI:func.12">"</a></span>)</span> ) ) );<br/></span></div>
