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<b>let </b><font color="Maroon">A</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">B</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">F1</font> be    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font>, <font color="Maroon">G1</font> be    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font>;<br/><b>let </b><font color="Maroon">F2</font> be    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">A</font>,<font color="Maroon">C</font>, <font color="Maroon">G2</font> be    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">A</font>,<font color="Maroon">C</font>;<br/>









<b>assume </b><a NAME="E1:49"/><i><font color="Green">E16</font></i>: 
( <font color="Maroon">F1</font> <a href="nattra_1.html#R1">is_transformable_to</a> <font color="Maroon">G1</font> &amp; <font color="Maroon">F2</font> <a href="nattra_1.html#R1">is_transformable_to</a> <font color="Maroon">G2</font> )
 ;<br/>

<b>let </b><font color="Maroon">t1</font> be    <a href="nattra_1.html#M1">transformation</a> of <font color="Maroon">F1</font>,<font color="Maroon">G1</font>;<br/><b>let </b><font color="Maroon">t2</font> be    <a href="nattra_1.html#M1">transformation</a> of <font color="Maroon">F2</font>,<font color="Maroon">G2</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">A</font>;<br/>





<b>reconsider </b><font color="Maroon">s1</font> = <font color="Maroon">t1</font> as   <a href="funct_2.html#NM1">Function</a> of the <a href="cat_1.html#U1">Objects</a> of <font color="Maroon">A</font>,the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">B</font> ;<br/>
<b>reconsider </b><font color="Maroon">s2</font> = <font color="Maroon">t2</font> as   <a href="funct_2.html#NM1">Function</a> of the <a href="cat_1.html#U1">Objects</a> of <font color="Maroon">A</font>,the <a href="cat_1.html#U2">Morphisms</a> of <font color="Maroon">C</font> ;<br/>
<b>thus </b><span class="p1"><a href="funct_3.html#K14">&lt;:</a><span class="default"><font color="Maroon">t1</font>,<font color="Maroon">t2</font></span><a href="funct_3.html#K14">:&gt;</a></span> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font> = 
<span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">s1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">s2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font></span>)</span></span><a href="cat_2.html#K13">]</a></span>
<b>by </b><i><a class="ref" href="funct_3.html#T79">FUNCT_3:79</a></i>
<br/>.= 
<span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">t1</font> <a href="nattra_1.html#K5">.</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">s2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font></span>)</span></span><a href="cat_2.html#K13">]</a></span>
<b>by </b><i>, <a class="ref" href="nattra_1.html#D5">NATTRA_1:def 5</a></i>
<br/>.= 
<span class="p1"><a href="cat_2.html#K13">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">t1</font> <a href="nattra_1.html#K5">.</a> <font color="Maroon">a</font></span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">t2</font> <a href="nattra_1.html#K5">.</a> <font color="Maroon">a</font></span>)</span></span><a href="cat_2.html#K13">]</a></span>
<b>by </b><i>, <a class="ref" href="nattra_1.html#D5">NATTRA_1:def 5</a></i>
;<br/>


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