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<b>let </b><font color="Maroon">o</font> be    <a href="hidden.html#M1">set</a> , <font color="Maroon">m</font> be    <a href="hidden.html#M1">set</a> ;<br/>

<b>set </b><font color="Maroon">1PCat</font> =  <a href="cat_4.html#K5" target="_self">c1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font>;<br/>
<b>thus </b><a NAME="E1:18"/>
the <a href="cat_4.html#U1" target="_self">TerminalObj</a> of <span class="p1">(<span class="default"><a href="cat_4.html#K5" target="_self">c1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font></span>)</span> is <a href="cat_1.html#V6">terminal</a>
 <b>by </b><i/>; <i><font color="Red">:: according to </font></i><a class="ref" href="cat_4.html#D9" target="_self">CAT_4:def 9</a><br/>

<b>let </b><font color="Maroon">a</font> be   <a href="cat_1.html#NM1">Object</a> of <span class="p1">(<span class="default"><a href="cat_4.html#K5" target="_self">c1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font></span>)</span>, <font color="Maroon">b</font> be   <a href="cat_1.html#NM1">Object</a> of <span class="p1">(<span class="default"><a href="cat_4.html#K5" target="_self">c1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font></span>)</span>;<br/>

<b>thus </b><a NAME="E2:18"/>
 <a href="cat_1.html#K3">cod</a> <span class="p1">(<span class="default">the <a href="cat_4.html#U3" target="_self">Proj1</a> of <span class="p2">(<span class="default"><a href="cat_4.html#K5" target="_self">c1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="domain_1.html#K1">]</a></span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">a</font>
 <b>by </b><i/>;<br/>

<b>thus </b><a NAME="E3:18"/>
 <a href="cat_1.html#K3">cod</a> <span class="p1">(<span class="default">the <a href="cat_4.html#U4" target="_self">Proj2</a> of <span class="p2">(<span class="default"><a href="cat_4.html#K5" target="_self">c1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p2"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="domain_1.html#K1">]</a></span></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">b</font>
 <b>by </b><i/>;<br/>

<b>thus </b><a NAME="E4:18"/>
the <a href="cat_4.html#U2" target="_self">CatProd</a> of <span class="p1">(<span class="default"><a href="cat_4.html#K5" target="_self">c1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="domain_1.html#K1">]</a></span> <a href="cat_3.html#R2">is_a_product_wrt</a> the <a href="cat_4.html#U3" target="_self">Proj1</a> of <span class="p1">(<span class="default"><a href="cat_4.html#K5" target="_self">c1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="domain_1.html#K1">]</a></span>,the <a href="cat_4.html#U4" target="_self">Proj2</a> of <span class="p1">(<span class="default"><a href="cat_4.html#K5" target="_self">c1Cat</a> <font color="Maroon">o</font>,<font color="Maroon">m</font></span>)</span> <a href="funct_2.html#K3">.</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="domain_1.html#K1">]</a></span>
 <b>by </b><i/>;<br/>


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