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<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">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><a NAME="E1:28"/><i><font color="Green">E7</font></i>: 
<font color="Maroon">F1</font> <a href="nattra_1.html#R1" target="_self">is_transformable_to</a> <font color="Maroon">F2</font>
 ;<br/>

<b>let </b><font color="Maroon">t1</font> be    <a href="nattra_1.html#M1" target="_self">transformation</a> of <font color="Maroon">F1</font>,<font color="Maroon">F2</font>, <font color="Maroon">t2</font> be    <a href="nattra_1.html#M1" target="_self">transformation</a> of <font color="Maroon">F1</font>,<font color="Maroon">F2</font>;<br/>

<b>assume </b><a NAME="E2:28"/><i><font color="Green">E8</font></i>: 
for <font color="Olive">a</font> being  <a href="cat_1.html#NM1">Object</a> of <font color="Maroon">A</font> holds  <font color="Maroon">t1</font> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">t2</font> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Olive">a</font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="28_1"><b>now </b></a><div class="add"><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>thus </b><font color="Maroon">t1</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font> = 
<font color="Maroon">t1</font> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">a</font>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">t2</font> <a href="nattra_1.html#K5" target="_self">.</a> <font color="Maroon">a</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">t2</font> <a href="funct_2.html#K3">.</a> <font color="Maroon">a</font>
<b>by </b><i>, </i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:28"/>
<font color="Maroon">t1</font> <a href="funct_2.html#R2">=</a> <font color="Maroon">t2</font>
 <b>by </b><i><a class="ref" href="funct_2.html#T113">FUNCT_2:113</a></i>;<br/>


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