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<b>let </b><font color="Maroon">C</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="altcat_1.html#L2">AltCatStr</a> ;<br/><b>let </b><font color="Maroon">O</font> be   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">C</font>, <font color="Maroon">A</font> be   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">C</font>;<br/><b>let </b><font color="Maroon">M</font> be   <a href="altcat_1.html#NM2">Morphism</a> of <font color="Maroon">O</font>,<font color="Maroon">A</font>;<br/>





<b>assume </b><a NAME="E1:11"/><i><font color="Green">E24</font></i>: 
<font color="Maroon">O</font> is <a href="altcat_3.html#V7">terminal</a>
 ;<br/>

<b>let </b><font color="Maroon">o</font> be   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">C</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="altcat_3.html#D7">ALTCAT_3:def 7</a><br/>

<b>assume </b><a NAME="E2:11"/><i><font color="Green">E25</font></i>: 
<span class="p1"><a href="altcat_1.html#K1">&lt;^</a><span class="default"><font color="Maroon">o</font>,<font color="Maroon">O</font></span><a href="altcat_1.html#K1">^&gt;</a></span> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="xboole_0.html#K1">{}</a> 
 ;<br/>

<b>let </b><font color="Maroon">a</font> be   <a href="altcat_1.html#NM2">Morphism</a> of <font color="Maroon">o</font>,<font color="Maroon">O</font>, <font color="Maroon">b</font> be   <a href="altcat_1.html#NM2">Morphism</a> of <font color="Maroon">o</font>,<font color="Maroon">O</font>;<br/>

<b>assume </b><a NAME="E3:11"/>
<font color="Maroon">M</font> <a href="altcat_1.html#K5">*</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">M</font> <a href="altcat_1.html#K5">*</a> <font color="Maroon">b</font>
 ;<br/>

<b>consider </b><font color="Maroon">N</font> being   <a href="altcat_1.html#NM2">Morphism</a> of <font color="Maroon">o</font>,<font color="Maroon">O</font><b> such that </b><br/><a NAME="E5:11"/>
<font color="Maroon">N</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="altcat_1.html#K1">&lt;^</a><span class="default"><font color="Maroon">o</font>,<font color="Maroon">O</font></span><a href="altcat_1.html#K1">^&gt;</a></span>
 <b>and </b><br/><a NAME="E6:11"/><i><font color="Green">E26</font></i>: 
for <font color="Olive">M1</font> being  <a href="altcat_1.html#NM2">Morphism</a> of <font color="Maroon">o</font>,<font color="Maroon">O</font>  st <font color="Olive">M1</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="altcat_1.html#K1">&lt;^</a><span class="default"><font color="Maroon">o</font>,<font color="Maroon">O</font></span><a href="altcat_1.html#K1">^&gt;</a></span> holds <br/><font color="Maroon">N</font> <a href="hidden.html#R1">=</a> <font color="Olive">M1</font>
 <b>by </b><i>, <a class="ref" href="altcat_3.html#T27">ALTCAT_3:27</a></i>;<br/>
<b>thus </b><font color="Maroon">a</font> = 
<font color="Maroon">N</font>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">b</font>
<b>by </b><i>, </i>
;<br/>


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