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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="midsp_1.html#NM1">MidSp</a>;<br/>

<b>consider </b><font color="Maroon">c<sub>2</sub></font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>
<b>take </b>
<span class="p1"><a href="midsp_1.html#K7" target="_self">[</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="midsp_1.html#K7" target="_self">]</a></span> <a href="midsp_1.html#K9" target="_self">~</a> 
;<br/>

<b>let </b><font color="Maroon">c<sub>3</sub></font> be    <a href="subset_1.html#M1">Element</a> of <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default">the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>1</sub></font></span><a href="zfmisc_1.html#K2">:]</a></span>;<br/>

<a NAME="E2:42"/>
( <span class="p1"><a href="midsp_1.html#K7" target="_self">[</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="midsp_1.html#K7" target="_self">]</a></span> <a href="midsp_1.html#K5" target="_self">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> &amp; <span class="p1"><a href="midsp_1.html#K7" target="_self">[</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="midsp_1.html#K7" target="_self">]</a></span> <a href="midsp_1.html#K6" target="_self">`2</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> )
 
<b>by </b><i><a class="ref" href="mcart_1.html#T7">MCART_1:7</a></i>;<br/>
<a NAME="E3:42"/><b>then </b>
( <font color="Maroon">c<sub>3</sub></font> <a href="midsp_1.html#K5" target="_self">`1</a> ,<font color="Maroon">c<sub>3</sub></font> <a href="midsp_1.html#K6" target="_self">`2</a>  <a href="midsp_1.html#R1" target="_self">@@</a> <font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font> iff <font color="Maroon">c<sub>3</sub></font> <a href="midsp_1.html#R2" target="_self">##</a> <span class="p1"><a href="midsp_1.html#K7" target="_self">[</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="midsp_1.html#K7" target="_self">]</a></span> )
 
<b>by </b><i><a class="ref" href="midsp_1.html#D6" target="_self">Def6</a></i>;<br/>
<b>hence </b><a NAME="E4:42"/>
( <font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="midsp_1.html#K7" target="_self">[</a><span class="default"><font color="Maroon">c<sub>2</sub></font>,<font color="Maroon">c<sub>2</sub></font></span><a href="midsp_1.html#K7" target="_self">]</a></span> <a href="midsp_1.html#K9" target="_self">~</a>  iff <font color="Maroon">c<sub>3</sub></font> <a href="midsp_1.html#K5" target="_self">`1</a>  <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font> <a href="midsp_1.html#K6" target="_self">`2</a>  )
 <b>by </b><i><a class="ref" href="midsp_1.html#T21" target="_self">Th21</a>, <a class="ref" href="midsp_1.html#T24" target="_self">Th24</a>, <a class="ref" href="midsp_1.html#T41" target="_self">Th41</a></i>;<br/>


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