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<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font>, <font color="Maroon">c<sub>3</sub></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">c<sub>4</sub></font> be  <a href="functor0.html#V15">covariant</a>  <a href="functor0.html#M2">Functor</a> of <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>5</sub></font>, <font color="Maroon">c<sub>6</sub></font> be  <a href="functor0.html#V15">covariant</a>  <a href="functor0.html#M2">Functor</a> of <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>3</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>7</sub></font> be    <a href="functor2.html#M1">transformation</a> of <font color="Maroon">c<sub>5</sub></font>,<font color="Maroon">c<sub>6</sub></font>;<br/>













<b>assume </b><a NAME="E1:42"/>
<font color="Maroon">c<sub>5</sub></font> <a href="functor2.html#R1">is_transformable_to</a> <font color="Maroon">c<sub>6</sub></font>
 ;<br/>

<a NAME="E2:42"/><b>then </b>
<font color="Maroon">c<sub>5</sub></font> <a href="functor3.html#K1" target="_self">*</a> <font color="Maroon">c<sub>4</sub></font> <a href="functor2.html#R1">is_transformable_to</a> <font color="Maroon">c<sub>6</sub></font> <a href="functor3.html#K1" target="_self">*</a> <font color="Maroon">c<sub>4</sub></font>
 
<b>by </b><i><a class="ref" href="functor3.html#T10" target="_self">Th10</a></i>;<br/>
<b>hence </b><font color="Maroon">c<sub>7</sub></font> <a href="functor3.html#K6" target="_self">*</a> <font color="Maroon">c<sub>4</sub></font> = 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="functor3.html#K6" target="_self">*</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="functor2.html#K3">`*`</a> <span class="p1">(<span class="default"><a href="functor2.html#K4">idt</a> <span class="p2">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="functor3.html#K1" target="_self">*</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="functor2.html#T7">FUNCTOR2:7</a></i>
<br/>.= 
<span class="p1">(<span class="default"><font color="Maroon">c<sub>7</sub></font> <a href="functor3.html#K6" target="_self">*</a> <font color="Maroon">c<sub>4</sub></font></span>)</span> <a href="functor2.html#K3">`*`</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="functor3.html#K5" target="_self">*</a> <span class="p2">(<span class="default"><a href="functor2.html#K4">idt</a> <font color="Maroon">c<sub>4</sub></font></span>)</span></span>)</span>
<b>by </b><i><a class="ref" href="functor3.html#T19" target="_self">Th19</a></i>
<br/>.= 
<font color="Maroon">c<sub>7</sub></font> <a href="functor3.html#K7" target="_self">(#)</a> <span class="p1">(<span class="default"><a href="functor2.html#K4">idt</a> <font color="Maroon">c<sub>4</sub></font></span>)</span>

;<br/><br/>


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