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<b>let </b><font color="Maroon">C</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">D</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">C'</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">D'</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">T</font> be    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">C</font>,<font color="Maroon">D</font>;<br/><b>let </b><font color="Maroon">T'</font> be    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">C'</font>,<font color="Maroon">D'</font>;<br/>











<a NAME="E1:64"/>
(  <a href="cat_2.html#K17" target="_self">pr1</a> <font color="Maroon">C</font>,<font color="Maroon">C'</font> <a href="funct_2.html#R1">=</a>  <a href="funct_3.html#K9">pr1</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C</font>,the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C'</font> &amp;  <a href="cat_2.html#K18" target="_self">pr2</a> <font color="Maroon">C</font>,<font color="Maroon">C'</font> <a href="funct_2.html#R1">=</a>  <a href="funct_3.html#K10">pr2</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C</font>,the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C'</font> &amp;  <a href="relat_1.html#K1">dom</a> <font color="Maroon">T</font> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C</font> &amp;  <a href="relat_1.html#K1">dom</a> <font color="Maroon">T'</font> <a href="hidden.html#R1">=</a> the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C'</font> )
 
<b>by </b><i><a class="ref" href="funct_2.html#D1">FUNCT_2:def 1</a></i>;<br/>
<b>hence </b><a NAME="E2:64"/>
<span class="p1"><a href="cat_2.html#K9" target="_self">[:</a><span class="default"><font color="Maroon">T</font>,<font color="Maroon">T'</font></span><a href="cat_2.html#K9" target="_self">:]</a></span> <a href="funct_2.html#R1">=</a> <span class="p1"><a href="cat_2.html#K19" target="_self">&lt;:</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">T</font> <a href="cat_1.html#K14">*</a> <span class="p3">(<span class="default"><a href="cat_2.html#K17" target="_self">pr1</a> <font color="Maroon">C</font>,<font color="Maroon">C'</font></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">T'</font> <a href="cat_1.html#K14">*</a> <span class="p3">(<span class="default"><a href="cat_2.html#K18" target="_self">pr2</a> <font color="Maroon">C</font>,<font color="Maroon">C'</font></span>)</span></span>)</span></span><a href="cat_2.html#K19" target="_self">:&gt;</a></span>
 <b>by </b><i><a class="ref" href="funct_3.html#T87">FUNCT_3:87</a></i>;<br/>


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