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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E41">Def14</font></span>   defines <a href="surreali.html#K12" title="SURREALI:func.12">"</a> <a onclick="hs(this)" href="javascript:()">SURREALI:def 14 : <br/></a><span> for <font color="Olive" title="b1">x</font> being   <a href="surreal0.html#NM1" title="SURREAL0:NM.1">Surreal</a>  st  not <font color="Olive" title="b1">x</font> <a href="surrealo.html#R2" title="SURREALO:pred.2">==</a>  <a href="surreal0.html#K11" title="SURREAL0:func.11">0_No</a>  holds <br/> for <font color="Olive">b<sub>2</sub></font> being   <a href="surreal0.html#NM1" title="SURREAL0:NM.1">Surreal</a> holds <br/> ( ( <font color="Olive" title="b1">x</font> is  <a href="surreali.html#V2" title="SURREALI:attr.2">positive</a>  implies ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">x</font> <a href="surreali.html#K12" title="SURREALI:func.12">"</a>  iff <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="surreali.html#K10" title="SURREALI:func.10">inv</a> <font color="Olive" title="b1">x</font> ) ) &amp; (  not <font color="Olive" title="b1">x</font> is  <a href="surreali.html#V2" title="SURREALI:attr.2">positive</a>  implies ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">x</font> <a href="surreali.html#K12" title="SURREALI:func.12">"</a>  iff  <a href="surrealr.html#K2" title="SURREALR:func.2">-</a> <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="surreali.html#K10" title="SURREALI:func.10">inv</a> <span class="p1">(<span class="default"><a href="surrealr.html#K2" title="SURREALR:func.2">-</a> <font color="Olive" title="b1">x</font></span>)</span> ) ) );<br/></span></div>
