<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font>, <font color="Maroon">c<sub>2</sub></font> be    <a href="altcat_1.html#L2">AltCatStr</a> ;<br/>

<b>set </b><font color="Maroon">c<sub>3</sub></font> =  <a href="yellow20.html#K2" target="_self">Intersect</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font>;<br/>
<b>assume </b><a NAME="E1:23"/><i><font color="Green">E17</font></i>: 
<font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="yellow20.html#R1" target="_self">have_the_same_composition</a> 
 ;<br/>

<a NAME="E2:23"/><b>then </b>
( the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="yellow20.html#K2" target="_self">Intersect</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font> <a href="xboole_0.html#K3">/\</a> the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>2</sub></font> &amp; the <a href="altcat_1.html#U1">Arrows</a> of <span class="p1">(<span class="default"><a href="yellow20.html#K2" target="_self">Intersect</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="yellow20.html#K1" target="_self">Intersect</a> the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">c<sub>1</sub></font>,the <a href="altcat_1.html#U1">Arrows</a> of <font color="Maroon">c<sub>2</sub></font> &amp; the <a href="altcat_1.html#U2">Comp</a> of <span class="p1">(<span class="default"><a href="yellow20.html#K2" target="_self">Intersect</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="yellow20.html#K1" target="_self">Intersect</a> the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">c<sub>1</sub></font>,the <a href="altcat_1.html#U2">Comp</a> of <font color="Maroon">c<sub>2</sub></font> )
 
<b>by </b><i><a class="ref" href="yellow20.html#D3" target="_self">Def3</a></i>;<br/>
<b>hence </b><a NAME="E3:23"/>
 <a href="yellow20.html#K2" target="_self">Intersect</a> <font color="Maroon">c<sub>1</sub></font>,<font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R1">=</a>  <a href="yellow20.html#K2" target="_self">Intersect</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>1</sub></font>
 <b>by </b><i><a class="txt" href="yellow20.html#E1:23"><i><font color="Green">E17</font></i></a>, <a class="ref" href="yellow20.html#D3" target="_self">Def3</a></i>;<br/>


</div>
