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

<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be   <a href="cat_1.html#NM4">Category</a>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font>, <font color="Maroon">c<sub>5</sub></font> be    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font>;<br/>









<b>assume </b><b>that </b><br/><a NAME="E1:40"/><i><font color="Green">E33</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="nattra_1.html#R2" target="_self">is_naturally_transformable_to</a> <font color="Maroon">c<sub>4</sub></font>
 <b>and </b><br/><a NAME="E2:40"/><i><font color="Green">E34</font></i>: 
<font color="Maroon">c<sub>4</sub></font> <a href="nattra_1.html#R2" target="_self">is_naturally_transformable_to</a> <font color="Maroon">c<sub>5</sub></font>
 ;<br/>

<b>let </b><font color="Maroon">c<sub>6</sub></font> be    <a href="nattra_1.html#M2" target="_self">natural_transformation</a> of <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>7</sub></font> be    <a href="nattra_1.html#M2" target="_self">natural_transformation</a> of <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>8</sub></font> be   <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>





<b>reconsider </b><font color="Maroon">c<sub>9</sub></font> = <font color="Maroon">c<sub>6</sub></font> as    <a href="nattra_1.html#M1" target="_self">transformation</a> of <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font> ;<br/>
<b>reconsider </b><font color="Maroon">c<sub>10</sub></font> = <font color="Maroon">c<sub>7</sub></font> as    <a href="nattra_1.html#M1" target="_self">transformation</a> of <font color="Maroon">c<sub>4</sub></font>,<font color="Maroon">c<sub>5</sub></font> ;<br/>
<a NAME="E5:40"/><i><font color="Green">E35</font></i>: 
( <font color="Maroon">c<sub>3</sub></font> <a href="nattra_1.html#R1" target="_self">is_transformable_to</a> <font color="Maroon">c<sub>4</sub></font> &amp; <font color="Maroon">c<sub>4</sub></font> <a href="nattra_1.html#R1" target="_self">is_transformable_to</a> <font color="Maroon">c<sub>5</sub></font> )
 
<b>by </b><i><a class="txt" href="nattra_1.html#E1:40"><i><font color="Green">E33</font></i></a>, <a class="txt" href="nattra_1.html#E2:40"><i><font color="Green">E34</font></i></a>, <a class="ref" href="nattra_1.html#D7" target="_self">Def7</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="nattra_1.html#K8" target="_self">`*`</a> <font color="Maroon">c<sub>6</sub></font></span>)</span> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">c<sub>8</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>10</sub></font> <a href="nattra_1.html#K6" target="_self">`*`</a> <font color="Maroon">c<sub>9</sub></font></span>)</span> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">c<sub>8</sub></font>
<b>by </b><i><a class="txt" href="nattra_1.html#E1:40"><i><font color="Green">E33</font></i></a>, <a class="txt" href="nattra_1.html#E2:40"><i><font color="Green">E34</font></i></a>, <a class="ref" href="nattra_1.html#D9" target="_self">Def9</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">c<sub>8</sub></font></span>)</span> <a href="cat_1.html#K9">*</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>6</sub></font> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">c<sub>8</sub></font></span>)</span>
<b>by </b><i><a class="txt" href="nattra_1.html#E5:40"><i><font color="Green">E35</font></i></a>, <a class="ref" href="nattra_1.html#D6" target="_self">Def6</a></i>
;<br/>


</div>
