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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E33">Th30</font></span>: <a NAME="T32"><span class="comment"><font color="firebrick">:: ISOCAT_2:32</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font>, <font color="Olive" title="b2">B</font>, <font color="Olive" title="b3">C</font> being   <a href="cat_1.html#NM4" title="CAT_1:NM.4">Category</a><br/>  for <font color="Olive" title="b4">F</font>, <font color="Olive" title="b5">G</font> being    <a href="cat_1.html#M2" title="CAT_1:mode.2">Functor</a> of <font color="Olive" title="b1">A</font>,<span class="p1"><a href="cat_2.html#K6" title="CAT_2:func.6">[:</a><span class="default"><font color="Olive" title="b2">B</font>,<font color="Olive" title="b3">C</font></span><a href="cat_2.html#K6" title="CAT_2:func.6">:]</a></span>  st  <a href="isocat_2.html#K9" title="ISOCAT_2:func.9">Pr1</a> <font color="Olive" title="b4">F</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="isocat_2.html#K9" title="ISOCAT_2:func.9">Pr1</a> <font color="Olive" title="b5">G</font> &amp;  <a href="isocat_2.html#K10" title="ISOCAT_2:func.10">Pr2</a> <font color="Olive" title="b4">F</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="isocat_2.html#K10" title="ISOCAT_2:func.10">Pr2</a> <font color="Olive" title="b5">G</font> holds <br/><font color="Olive" title="b4">F</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b5">G</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="funct_3.html#T80" onmouseover="rs('funct_3/T80')" onmouseout="rh()">FUNCT_3:80</a></span>;<br/></div></div>
