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<span class="kw">set </span><font color="Maroon" title="c3">T</font> =  the    <a href="cat_8.html#M5" title="CAT_8:mode.5">categorical_exponent</a> of <font color="Maroon" title="c1">C1</font>,<font color="Maroon" title="c2">C2</font>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c4">C</font> being   <a href="cat_6.html#NM2" title="CAT_6:NM.2">category</a>, <font color="Maroon" title="c5">E</font> being   <a href="cat_6.html#NM4" title="CAT_6:NM.4">Functor</a> of <span class="p1">(<span class="default"><font color="Maroon" title="c4">C</font> <a href="cat_8.html#K8" title="CAT_8:func.8">[x]</a> <font color="Maroon" title="c1">C1</font></span>)</span>,<font color="Maroon" title="c2">C2</font><span class="kw"> such that </span><br/><a NAME="E2:136_1_1"/><span class="lab"><font color="Green" title="E79">A1</font></span>: 
(  the    <a href="cat_8.html#M5" title="CAT_8:mode.5">categorical_exponent</a> of <font color="Maroon" title="c1">C1</font>,<font color="Maroon" title="c2">C2</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"><font color="Maroon" title="c4">C</font>,<font color="Maroon" title="c5">E</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> &amp; <font color="Maroon" title="c5">E</font> is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a>  &amp; <font color="Maroon" title="c4">C</font>,<font color="Maroon" title="c5">E</font> <a href="cat_8.html#R6" title="CAT_8:pred.6">is_exponent_of</a> <font color="Maroon" title="c1">C1</font>,<font color="Maroon" title="c2">C2</font> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="cat_8.html#D35" target="_self" onmouseover="rs('cat_8/D35')" onmouseout="rh()">Def35</a></span>;<br/>
<span class="kw">thus </span><a NAME="E3:136_1_1"/>
 <a href="cat_8.html#K18" title="CAT_8:func.18">eval</a> (<font color="Maroon" title="c1">C1</font>,<font color="Maroon" title="c2">C2</font>) is  <a href="cat_6.html#V16" title="CAT_6:attr.16">covariant</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:136_1_1"><span class="lab"><font color="Green" title="E79">A1</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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