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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" 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">  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_1.html#K2" title="CAT_1:func.2">Hom</a> (<span class="p1">(<span class="default"><a href="cat_4.html#K19" title="CAT_4:func.19">EmptyMS</a> <font color="Maroon" title="c1">C</font></span>)</span>,<font color="Olive" title="b1">a</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K24" title="CAT_4:func.24">init</a> <font color="Olive" title="b1">a</font></span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></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" 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">  <a href="cat_1.html#K2" title="CAT_1:func.2">Hom</a> (<span class="p1">(<span class="default"><a href="cat_4.html#K19" title="CAT_4:func.19">EmptyMS</a> <font color="Maroon" title="c1">C</font></span>)</span>,<font color="Maroon" title="c2">a</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K24" title="CAT_4:func.24">init</a> <font color="Maroon" title="c2">a</font></span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span><br/>



<a NAME="E1:85"/>
 for <font color="Olive" title="b1">f2</font> being    <a href="cat_1.html#M1" title="CAT_1:mode.1">Morphism</a> of  <a href="cat_4.html#K19" title="CAT_4:func.19">EmptyMS</a> <font color="Maroon" title="c1">C</font>,<font color="Maroon" title="c2">a</font> holds   <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> <font color="Olive" title="b1">f2</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T55" target="_self" onmouseover="rs('cat_4/T55')" onmouseout="rh()">Th54</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:85"/>
 <a href="cat_1.html#K2" title="CAT_1:func.2">Hom</a> (<span class="p1">(<span class="default"><a href="cat_4.html#K19" title="CAT_4:func.19">EmptyMS</a> <font color="Maroon" title="c1">C</font></span>)</span>,<font color="Maroon" title="c2">a</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2">(<span class="default"><a href="cat_4.html#K24" title="CAT_4:func.24">init</a> <font color="Maroon" title="c2">a</font></span>)</span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="cat_4.html#T56" target="_self" onmouseover="rs('cat_4/T56')" onmouseout="rh()">Th55</a>, <a class="ref" href="cat_1.html#T8" onmouseover="rs('cat_1/T8')" onmouseout="rh()">CAT_1:8</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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