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<span class="kw">let </span><font color="Maroon" title="c1">C</font> be   <a href="cat_4.html#NM2" title="CAT_4:NM.2">Cocartesian_category</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  for <font color="Olive" title="b1">a</font> being   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font> holds   <a href="cat_4.html#K24" title="CAT_4:func.24">init</a> <font color="Olive" title="b1">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_3.html#K10" title="CAT_3:func.10">init</a> (<span class="p1">(<span class="default"><a href="cat_4.html#K19" title="CAT_4:func.19">[[0]]</a> <font color="Maroon" title="c1">C</font></span>)</span>,<font color="Olive" title="b1">a</font>)</span><br/><span class="kw">let </span><font color="Maroon" title="c2">a</font> be   <a href="cat_1.html#NM1" title="CAT_1:NM.1">Object</a> of <font color="Maroon" title="c1">C</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide">  <a href="cat_4.html#K24" title="CAT_4:func.24">init</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_3.html#K10" title="CAT_3:func.10">init</a> (<span class="p1">(<span class="default"><a href="cat_4.html#K19" title="CAT_4:func.19">[[0]]</a> <font color="Maroon" title="c1">C</font></span>)</span>,<font color="Maroon" title="c2">a</font>)</span><br/>



<a NAME="E1:84"/>
 <a href="cat_4.html#K19" title="CAT_4:func.19">[[0]]</a> <font color="Maroon" title="c1">C</font> is  <a href="cat_1.html#V7" title="CAT_1:attr.7">initial</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#D26" target="_self" title="CAT_4:def.26">Def27</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:84"/>
 <a href="cat_4.html#K24" title="CAT_4:func.24">init</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="cat_3.html#K10" title="CAT_3:func.10">init</a> (<span class="p1">(<span class="default"><a href="cat_4.html#K19" title="CAT_4:func.19">[[0]]</a> <font color="Maroon" title="c1">C</font></span>)</span>,<font color="Maroon" title="c2">a</font>)
 <span class="kw">by</span> <span class="lab"><a class="ref" href="cat_3.html#T40" title="CAT_3:th.40">CAT_3:40</a></span>; <a class="txt" 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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