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<b>let </b><font color="Maroon">M</font> be   <a href="midsp_1.html#NM1">MidSp</a>;<br/><b>let </b><font color="Maroon">a</font> be   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font>;<br/><b>let </b><font color="Maroon">u</font> be    <a href="midsp_1.html#M1" target="_self">Vector</a> of <font color="Maroon">M</font>;<br/>





<b>consider </b><font color="Maroon">p</font> being    <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">M</font>,the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">M</font></span><a href="zfmisc_1.html#K2">:]</a></span><b> such that </b><br/><a NAME="E2:47"/><i><font color="Green">E37</font></i>: 
<font color="Maroon">u</font> <a href="hidden.html#R1">=</a> <font color="Maroon">p</font> <a href="midsp_1.html#K8" target="_self">~</a> 
 <b>by </b><i><a class="ref" href="midsp_1.html#D4" target="_self">Def4</a></i>;<br/>
<b>consider </b><font color="Maroon">b</font> being   <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font><b> such that </b><br/><a NAME="E4:47"/><i><font color="Green">E38</font></i>: 
<font color="Maroon">p</font> <a href="midsp_1.html#K5" target="_self">`1</a> ,<font color="Maroon">p</font> <a href="midsp_1.html#K6" target="_self">`2</a>  <a href="midsp_1.html#R1" target="_self">@@</a> <font color="Maroon">a</font>,<font color="Maroon">b</font>
 <b>by </b><i/>;<br/>
<a NAME="E5:47"/>
<span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="midsp_1.html#K5" target="_self">`1</a> </span>)</span>,<span class="p2">(<span class="default"><font color="Maroon">p</font> <a href="midsp_1.html#K6" target="_self">`2</a> </span>)</span></span><a href="domain_1.html#K1">]</a></span> <a href="midsp_1.html#R2" target="_self">##</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="domain_1.html#K1">]</a></span>
 
<b>by </b><i><a class="ref" href="midsp_1.html#T15" target="_self">Th15</a>, </i>;<br/>
<a NAME="E6:47"/><b>then </b>
<font color="Maroon">p</font> <a href="midsp_1.html#R2" target="_self">##</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="domain_1.html#K1">]</a></span>
 
<b>by </b><i><a class="ref" href="mcart_1.html#T23">MCART_1:23</a></i>;<br/>
<a NAME="E7:47"/><b>then </b>
<font color="Maroon">p</font> <a href="midsp_1.html#K8" target="_self">~</a>  <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Maroon">b</font></span><a href="domain_1.html#K1">]</a></span> <a href="midsp_1.html#K8" target="_self">~</a> 
 
<b>by </b><i/>;<br/>
<b>hence </b><a NAME="E8:47"/>
 ex <font color="Olive">b</font> being  <a href="struct_0.html#NM1">Element</a> of <font color="Maroon">M</font> st <font color="Maroon">u</font> <a href="hidden.html#R1">=</a> <span class="p1"><a href="domain_1.html#K1">[</a><span class="default"><font color="Maroon">a</font>,<font color="Olive">b</font></span><a href="domain_1.html#K1">]</a></span> <a href="midsp_1.html#K8" target="_self">~</a> 
 <b>by </b><i/>;<br/>


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