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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>2</sub></font>,<font color="Maroon">c<sub>1</sub></font>;<br/>







<b>assume </b><a NAME="E1:35"/>
<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="E2:35"/><b>then </b>
<font color="Maroon">c<sub>3</sub></font> <a href="nattra_1.html#R1">is_transformable_to</a> <font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="ref" href="nattra_1.html#D7">NATTRA_1:def 7</a></i>;<br/>
<b>hence </b><a NAME="E3:35"/>
for <font color="Olive">b<sub>1</sub></font>, <font color="Olive">b<sub>2</sub></font> being   <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> st ( for <font color="Olive">b<sub>3</sub></font> being  <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">c<sub>2</sub></font> holds <font color="Olive">b<sub>1</sub></font> <a href="nattra_1.html#K5">.</a> <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Olive">b<sub>2</sub></font> <a href="nattra_1.html#K5">.</a> <font color="Olive">b<sub>3</sub></font> ) holds <br/><font color="Olive">b<sub>1</sub></font> <a href="funct_2.html#R2">=</a> <font color="Olive">b<sub>2</sub></font>
 <b>by </b><i><a class="ref" href="nattra_1.html#T20">NATTRA_1:20</a></i>;<br/>


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