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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E44">Def10</font></span>   defines <a href="arytm_3.html#K8" title="ARYTM_3:func.8">/</a> <a onclick="hs(this)" href="javascript:()">ARYTM_3:def 10 : <br/></a><span> for <font color="Olive" title="b1">i</font>, <font color="Olive" title="b2">j</font> being   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>  <a href="ordinal1.html#NM3" title="ORDINAL1:NM.3">Ordinal</a> holds <br/> ( ( <font color="Olive" title="b2">j</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  implies <font color="Olive" title="b1">i</font> <a href="arytm_3.html#K8" title="ARYTM_3:func.8">/</a> <font color="Olive" title="b2">j</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  ) &amp; (  <a href="arytm_3.html#K4" title="ARYTM_3:func.4">RED</a> (<font color="Olive" title="b2">j</font>,<font color="Olive" title="b1">i</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 implies <font color="Olive" title="b1">i</font> <a href="arytm_3.html#K8" title="ARYTM_3:func.8">/</a> <font color="Olive" title="b2">j</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="arytm_3.html#K4" title="ARYTM_3:func.4">RED</a> (<font color="Olive" title="b1">i</font>,<font color="Olive" title="b2">j</font>) ) &amp; (  not <font color="Olive" title="b2">j</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp;  not  <a href="arytm_3.html#K4" title="ARYTM_3:func.4">RED</a> (<font color="Olive" title="b2">j</font>,<font color="Olive" title="b1">i</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1 implies <font color="Olive" title="b1">i</font> <a href="arytm_3.html#K8" title="ARYTM_3:func.8">/</a> <font color="Olive" title="b2">j</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><span class="p2">(<span class="default"><a href="arytm_3.html#K4" title="ARYTM_3:func.4">RED</a> (<font color="Olive" title="b1">i</font>,<font color="Olive" title="b2">j</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="arytm_3.html#K4" title="ARYTM_3:func.4">RED</a> (<font color="Olive" title="b2">j</font>,<font color="Olive" title="b1">i</font>)</span>)</span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> ) );<br/></span></div>
