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<b>let </b><font color="Maroon">A</font> be  non <a href="struct_0.html#V3">empty</a> <a href="altcat_1.html#V2">transitive</a> <a href="altcat_1.html#V12">with_units</a>  <a href="altcat_1.html#L2">AltCatStr</a> , <font color="Maroon">B</font> be  non <a href="struct_0.html#V3">empty</a> <a href="altcat_1.html#V2">transitive</a> <a href="altcat_1.html#V12">with_units</a>  <a href="altcat_1.html#L2">AltCatStr</a> ;<br/><b>let </b><font color="Maroon">F1</font> be  <a href="functor0.html#V15">covariant</a>  <a href="functor0.html#M2">Functor</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font>, <font color="Maroon">F2</font> be  <a href="functor0.html#V15">covariant</a>  <a href="functor0.html#M2">Functor</a> of <font color="Maroon">A</font>,<font color="Maroon">B</font>;<br/>



<b>assume </b><a NAME="E1:10"/><i><font color="Green">E20</font></i>: 
<font color="Maroon">F1</font> <a href="functor2.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="functor2.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="functor2.html#M1" target="_self">transformation</a> of <font color="Maroon">F1</font>,<font color="Maroon">F2</font>;<br/>

<b>assume </b><a NAME="E2:10"/><i><font color="Green">E28</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">t1</font> <a href="functor2.html#K2" target="_self">!</a> <font color="Olive">a</font> <a href="hidden.html#R1">=</a> <font color="Maroon">t2</font> <a href="functor2.html#K2" target="_self">!</a> <font color="Olive">a</font>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="10_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">a</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:10_1"/>
<font color="Maroon">a</font> <a href="hidden.html#R2">in</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">A</font>
 ;<br/><b>then reconsider </b><font color="Maroon">o</font> = <font color="Maroon">a</font> as   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">A</font> ;<br/><b>thus </b><font color="Maroon">t1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">a</font> = 
<font color="Maroon">t1</font> <a href="functor2.html#K2" target="_self">!</a> <font color="Maroon">o</font>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">t2</font> <a href="functor2.html#K2" target="_self">!</a> <font color="Maroon">o</font>
<b>by </b><i/>
<br/>.= 
<font color="Maroon">t2</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">a</font>
<b>by </b><i>, </i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:10"/>
<font color="Maroon">t1</font> <a href="pboole.html#R6">=</a> <font color="Maroon">t2</font>
 <b>by </b><i><a class="ref" href="pboole.html#T3">PBOOLE:3</a></i>;<br/>


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