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<b>let </b><font color="Maroon">P</font> be    <a href="functor3.html#M1" target="_self">natural_equivalence</a> of <font color="Maroon">F2</font>,<font color="Maroon">F1</font>, <font color="Maroon">R</font> be    <a href="functor3.html#M1" target="_self">natural_equivalence</a> of <font color="Maroon">F2</font>,<font color="Maroon">F1</font>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:56_1_2"/><i><font color="Green">E35</font></i>: 
for <font color="Olive">a</font> being  <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">A</font> holds  <font color="Maroon">P</font> <a href="funct_1.html#K1">.</a> <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">e</font> <a href="functor2.html#K2">!</a> <font color="Olive">a</font></span>)</span> <a href="altcat_3.html#K1">"</a> 
 <b>and </b><br/><a NAME="E2:56_1_2"/><i><font color="Green">E44</font></i>: 
for <font color="Olive">a</font> being  <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">A</font> holds  <font color="Maroon">R</font> <a href="funct_1.html#K1">.</a> <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">e</font> <a href="functor2.html#K2">!</a> <font color="Olive">a</font></span>)</span> <a href="altcat_3.html#K1">"</a> 
 ;<br/>

<a NAME="E3:56_1_2"/><i><font color="Green">E45</font></i>: 
<font color="Maroon">F2</font> <a href="functor2.html#R1">is_transformable_to</a> <font color="Maroon">F1</font>
 
<b>by </b><i><a class="txt" href="functor3.html#E1:56"><i><font color="Green">E31</font></i></a>, </i>;<br/>
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="56_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">a</font> be   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">A</font>;<br/><b>thus </b><font color="Maroon">P</font> <a href="functor2.html#K2">!</a> <font color="Maroon">a</font> = 
<font color="Maroon">P</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">a</font>
<b>by </b><i>, <a class="ref" href="functor2.html#D4">FUNCTOR2:def 4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">e</font> <a href="functor2.html#K2">!</a> <font color="Maroon">a</font></span>)</span> <a href="altcat_3.html#K1">"</a> 
<b>by </b><i/>
<br/>.= 
<font color="Maroon">R</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">a</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">R</font> <a href="functor2.html#K2">!</a> <font color="Maroon">a</font>
<b>by </b><i>, <a class="ref" href="functor2.html#D4">FUNCTOR2:def 4</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E5:56_1_2"/>
<font color="Maroon">P</font> <a href="pboole.html#R6">=</a> <font color="Maroon">R</font>
 <b>by </b><i>, <a class="ref" href="functor2.html#T5">FUNCTOR2:5</a></i>;<br/>


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