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<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> be    <a href="cat_1.html#M2">Functor</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font> be    <a href="nattra_1.html#M2">natural_transformation</a> of <font color="Maroon">c<sub>3</sub></font>,<font color="Maroon">c<sub>4</sub></font>;<br/>









<b>assume </b><a NAME="E1:47"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="nattra_1.html#R2">is_naturally_transformable_to</a> <font color="Maroon">c<sub>4</sub></font>
 ;<br/>

<a NAME="E2:47"/><b>then </b><i><font color="Green">E38</font></i>: 
<span class="p1">(<span class="default"><a href="cat_1.html#K15">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="cat_1.html#K14">*</a> <font color="Maroon">c<sub>3</sub></font> <a href="nattra_1.html#R2">is_naturally_transformable_to</a> <span class="p1">(<span class="default"><a href="cat_1.html#K15">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="cat_1.html#K14">*</a> <font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="ref" href="isocat_1.html#T27" target="_self">Th27</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><a href="nattra_1.html#K7">id</a> <span class="p2">(<span class="default"><a href="cat_1.html#K15">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="isocat_1.html#K6" target="_self">(#)</a> <font color="Maroon">c<sub>5</sub></font> = 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="nattra_1.html#K7">id</a> <span class="p3">(<span class="default"><a href="cat_1.html#K15">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> <a href="isocat_1.html#K5" target="_self">*</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="nattra_1.html#K8">`*`</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_1.html#K15">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="isocat_1.html#K4" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>

<br/>.= 
<span class="p1">(<span class="default"><a href="nattra_1.html#K7">id</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="cat_1.html#K15">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="cat_1.html#K14">*</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span> <a href="nattra_1.html#K8">`*`</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="cat_1.html#K15">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="isocat_1.html#K4" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font></span>)</span>
<b>by </b><i><a class="ref" href="isocat_1.html#T37" target="_self">Th37</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="cat_1.html#K15">id</a> <font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="isocat_1.html#K4" target="_self">*</a> <font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="isocat_1.html#E2:47"><i><font color="Green">E38</font></i></a>, <a class="ref" href="nattra_1.html#T26">NATTRA_1:26</a></i>
<br/>.= 
<font color="Maroon">c<sub>5</sub></font>
<b>by </b><i><a class="txt" href="isocat_1.html#E1:47"><i><font color="Green">E37</font></i></a>, <a class="ref" href="isocat_1.html#T40" target="_self">Th40</a></i>
;<br/>


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