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<a NAME="E1:25_1_1"/><span class="lab"><font color="Green" title="E18">A3</font></span>: 
 <a href="cat_6.html#K8" title="CAT_6:func.8">id-</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">a</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_6.html#D20" onmouseover="rs('cat_6/D20')" onmouseout="rh()">CAT_6:def 20</a></span>;<br/>
<a NAME="E2:25_1_1"/><span class="kw">then </span>
 <a href="cat_6.html#K8" title="CAT_6:func.8">id-</a> <font color="Maroon" title="c2">a</font> <a href="cat_6.html#NR2" title="CAT_6:NR.2">|&gt;</a>  <a href="cat_6.html#K8" title="CAT_6:func.8">id-</a> <font color="Maroon" title="c2">a</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_6.html#T23" onmouseover="rs('cat_6/T23')" onmouseout="rh()">CAT_6:23</a></span>;<br/>
<a NAME="E3:25_1_1"/><span class="kw">then </span>
 <a href="cat_6.html#K8" title="CAT_6:func.8">id-</a> <font color="Maroon" title="c2">a</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="cat_7.html#K1" title="CAT_7:func.1">Hom</a> (<font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c2">a</font>)
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:25_1_1"><span class="lab"><font color="Green" title="E18">A3</font></span></a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:25_1_1"/>
 <a href="cat_6.html#K8" title="CAT_6:func.8">id-</a> <font color="Maroon" title="c2">a</font> is    <a href="cat_7.html#M1" title="CAT_7:mode.1">Morphism</a> of <font color="Maroon" title="c2">a</font>,<font color="Maroon" title="c2">a</font>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="cat_7.html#D3" target="_self" onmouseover="rs('cat_7/D3')" onmouseout="rh()">Def3</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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