<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">B</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">A</font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">F</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">F1</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">B</font>;<br/>









<b>assume </b><b>that </b><br/><a NAME="E1:40"/><i><font color="Green">E7</font></i>: 
<font color="Maroon">F</font> <a href="nattra_1.html#R2" target="_self">is_naturally_transformable_to</a> <font color="Maroon">F1</font>
 <b>and </b><br/><a NAME="E2:40"/><i><font color="Green">E8</font></i>: 
<font color="Maroon">F1</font> <a href="nattra_1.html#R2" target="_self">is_naturally_transformable_to</a> <font color="Maroon">F2</font>
 ;<br/>

<b>let </b><font color="Maroon">t1</font> be    <a href="nattra_1.html#M2" target="_self">natural_transformation</a> of <font color="Maroon">F</font>,<font color="Maroon">F1</font>;<br/><b>let </b><font color="Maroon">t2</font> be    <a href="nattra_1.html#M2" target="_self">natural_transformation</a> of <font color="Maroon">F1</font>,<font color="Maroon">F2</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">t1'</font> = <font color="Maroon">t1</font> as    <a href="nattra_1.html#M1" target="_self">transformation</a> of <font color="Maroon">F</font>,<font color="Maroon">F1</font> ;<br/>
<b>reconsider </b><font color="Maroon">t2'</font> = <font color="Maroon">t2</font> as    <a href="nattra_1.html#M1" target="_self">transformation</a> of <font color="Maroon">F1</font>,<font color="Maroon">F2</font> ;<br/>
<a NAME="E5:40"/><i><font color="Green">E25</font></i>: 
( <font color="Maroon">F</font> <a href="nattra_1.html#R1" target="_self">is_transformable_to</a> <font color="Maroon">F1</font> &amp; <font color="Maroon">F1</font> <a href="nattra_1.html#R1" target="_self">is_transformable_to</a> <font color="Maroon">F2</font> )
 
<b>by </b><i>, , </i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">t2</font> <a href="nattra_1.html#K8" target="_self">`*`</a> <font color="Maroon">t1</font></span>)</span> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">a</font> = 
<span class="p1">(<span class="default"><font color="Maroon">t2'</font> <a href="nattra_1.html#K6" target="_self">`*`</a> <font color="Maroon">t1'</font></span>)</span> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">a</font>
<b>by </b><i>, , </i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">t2</font> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">a</font></span>)</span> <a href="cat_1.html#K9">*</a> <span class="p1">(<span class="default"><font color="Maroon">t1</font> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">a</font></span>)</span>
<b>by </b><i>, </i>
;<br/>


</div>
