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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">F</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">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><b>that </b><br/><a NAME="E1:23"/><i><font color="Green">E20</font></i>: 
<font color="Maroon">F</font> <a href="functor2.html#R2" target="_self">is_naturally_transformable_to</a> <font color="Maroon">F1</font>
 <b>and </b><br/><a NAME="E2:23"/><i><font color="Green">E28</font></i>: 
<font color="Maroon">F1</font> <a href="functor2.html#R2" target="_self">is_naturally_transformable_to</a> <font color="Maroon">F2</font>
 ;<br/>

<b>let </b><font color="Maroon">t1</font> be    <a href="functor2.html#M2" target="_self">natural_transformation</a> of <font color="Maroon">F</font>,<font color="Maroon">F1</font>;<br/><b>let </b><font color="Maroon">t2</font> be    <a href="functor2.html#M2" target="_self">natural_transformation</a> of <font color="Maroon">F1</font>,<font color="Maroon">F2</font>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="altcat_1.html#NM1">object</a> of <font color="Maroon">A</font>;<br/>





<a NAME="E3:23"/>
( <font color="Maroon">F</font> <a href="functor2.html#R1" target="_self">is_transformable_to</a> <font color="Maroon">F1</font> &amp; <font color="Maroon">F1</font> <a href="functor2.html#R1" target="_self">is_transformable_to</a> <font color="Maroon">F2</font> )
 
<b>by </b><i>, <a class="txt" href="functor2.html#E1:23"><i><font color="Green">E20</font></i></a>, </i>;<br/>
<b>hence </b><a NAME="E4:23"/>
<span class="p1">(<span class="default"><font color="Maroon">t2</font> <a href="functor2.html#K3" target="_self">`*`</a> <font color="Maroon">t1</font></span>)</span> <a href="functor2.html#K2" target="_self">!</a> <font color="Maroon">a</font> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">t2</font> <a href="functor2.html#K2" target="_self">!</a> <font color="Maroon">a</font></span>)</span> <a href="altcat_1.html#K5">*</a> <span class="p1">(<span class="default"><font color="Maroon">t1</font> <a href="functor2.html#K2" target="_self">!</a> <font color="Maroon">a</font></span>)</span>
 <b>by </b><i/>;<br/>


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