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<b>let </b><font color="Maroon">C</font> be   <a href="cat_4.html#NM2">Cocartesian_category</a>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">C</font>;<br/><b>let </b><font color="Maroon">c</font> be   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">C</font>;<br/><b>let </b><font color="Maroon">b</font> be   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">C</font>;<br/><b>let </b><font color="Maroon">f</font> be    <a href="cat_1.html#M1">Morphism</a> of <font color="Maroon">a</font>,<font color="Maroon">c</font>;<br/><b>let </b><font color="Maroon">g</font> be    <a href="cat_1.html#M1">Morphism</a> of <font color="Maroon">b</font>,<font color="Maroon">c</font>;<br/>











<b>assume </b><b>that </b><br/><a NAME="E1:105"/><i><font color="Green">E34</font></i>: 
 <a href="cat_1.html#K6">Hom</a> <font color="Maroon">a</font>,<font color="Maroon">c</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 <b>and </b><br/><a NAME="E2:105"/><i><font color="Green">E35</font></i>: 
 <a href="cat_1.html#K6">Hom</a> <font color="Maroon">b</font>,<font color="Maroon">c</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>

<a NAME="E3:105"/><i><font color="Green">E36</font></i>: 
 <a href="cat_1.html#K6">Hom</a> <font color="Maroon">c</font>,<font color="Maroon">c</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 
<b>by </b><i><a class="ref" href="cat_1.html#T56">CAT_1:56</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="cat_4.html#K28" target="_self">nabla</a> <font color="Maroon">c</font></span>)</span> <a href="cat_1.html#K9">*</a> <span class="p1">(<span class="default"><font color="Maroon">f</font> <a href="cat_4.html#K29" target="_self">+</a> <font color="Maroon">g</font></span>)</span> = 
<span class="p1"><a href="cat_4.html#K27" target="_self">[$</a><span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">c</font></span>)</span> <a href="cat_1.html#K9">*</a> <font color="Maroon">f</font></span>)</span>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">c</font></span>)</span> <a href="cat_1.html#K9">*</a> <font color="Maroon">g</font></span>)</span></span><a href="cat_4.html#K27" target="_self">$]</a></span>
<b>by </b><i>, , , </i>
<br/>.= 
<span class="p1"><a href="cat_4.html#K27" target="_self">[$</a><span class="default"><font color="Maroon">f</font>,<span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_1.html#K10">id</a> <font color="Maroon">c</font></span>)</span> <a href="cat_1.html#K9">*</a> <font color="Maroon">g</font></span>)</span></span><a href="cat_4.html#K27" target="_self">$]</a></span>
<b>by </b><i>, <a class="ref" href="cat_1.html#T57">CAT_1:57</a></i>
<br/>.= 
<span class="p1"><a href="cat_4.html#K27" target="_self">[$</a><span class="default"><font color="Maroon">f</font>,<font color="Maroon">g</font></span><a href="cat_4.html#K27" target="_self">$]</a></span>
<b>by </b><i>, <a class="ref" href="cat_1.html#T57">CAT_1:57</a></i>
;<br/>


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