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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="subset_1.html#M1">Element</a> of <font color="Maroon">c<sub>1</sub></font>;<br/>



<b>set </b><font color="Maroon">c<sub>3</sub></font> = <span class="p1"><a href="matrix_2.html#K5" target="_self">&lt;*</a><span class="default"><span class="p2"><a href="matrix_2.html#K4" target="_self">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="matrix_2.html#K4" target="_self">*&gt;</a></span></span><a href="matrix_2.html#K5" target="_self">*&gt;</a></span>;<br/>
<a NAME="E1:10"/><i><font color="Green">E4</font></i>: 
 <a href="matrix_1.html#K2">Indices</a> <span class="p1"><a href="matrix_2.html#K5" target="_self">&lt;*</a><span class="default"><span class="p2"><a href="matrix_2.html#K4" target="_self">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="matrix_2.html#K4" target="_self">*&gt;</a></span></span><a href="matrix_2.html#K5" target="_self">*&gt;</a></span> <a href="hidden.html#R1">=</a> <span class="p1"><a href="zfmisc_1.html#K2">[:</a><span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K2">Seg</a> 1</span>)</span>,<span class="p2">(<span class="default"><a href="finseq_1.html#K2">Seg</a> 1</span>)</span></span><a href="zfmisc_1.html#K2">:]</a></span>
 
<b>by </b><i><a class="ref" href="matrix_1.html#T25">MATRIX_1:25</a></i>;<br/>
<a NAME="E2:10"/>
1 <a href="hidden.html#R2">in</a>  <a href="finseq_1.html#K2">Seg</a> 1
 
<b>by </b><i><a class="ref" href="finseq_1.html#T4">FINSEQ_1:4</a>, <a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>
<b>hence </b><a NAME="E3:10"/><i><font color="Green">E5</font></i>: 
<span class="p1"><a href="tarski.html#K4">[</a><span class="default">1,1</span><a href="tarski.html#K4">]</a></span> <a href="hidden.html#R2">in</a>  <a href="matrix_1.html#K2">Indices</a> <span class="p1"><a href="matrix_2.html#K5" target="_self">&lt;*</a><span class="default"><span class="p2"><a href="matrix_2.html#K4" target="_self">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="matrix_2.html#K4" target="_self">*&gt;</a></span></span><a href="matrix_2.html#K5" target="_self">*&gt;</a></span>
 <b>by </b><i><a class="txt" href="matrix_2.html#E1:10"><i><font color="Green">E4</font></i></a>, <a class="ref" href="zfmisc_1.html#T106">ZFMISC_1:106</a></i>;<br/>

<a NAME="E4:10"/>
( <span class="p1"><a href="matrix_2.html#K5" target="_self">&lt;*</a><span class="default"><span class="p2"><a href="matrix_2.html#K4" target="_self">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="matrix_2.html#K4" target="_self">*&gt;</a></span></span><a href="matrix_2.html#K5" target="_self">*&gt;</a></span> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> <span class="p1"><a href="matrix_2.html#K4" target="_self">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="matrix_2.html#K4" target="_self">*&gt;</a></span> &amp; <span class="p1"><a href="matrix_2.html#K4" target="_self">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="matrix_2.html#K4" target="_self">*&gt;</a></span> <a href="funct_1.html#K1">.</a> 1 <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font> )
 
<b>by </b><i><a class="ref" href="finseq_1.html#T57">FINSEQ_1:57</a></i>;<br/>
<b>hence </b><a NAME="E5:10"/>
<span class="p1"><a href="matrix_2.html#K5" target="_self">&lt;*</a><span class="default"><span class="p2"><a href="matrix_2.html#K4" target="_self">&lt;*</a><span class="default"><font color="Maroon">c<sub>2</sub></font></span><a href="matrix_2.html#K4" target="_self">*&gt;</a></span></span><a href="matrix_2.html#K5" target="_self">*&gt;</a></span> <a href="matrix_1.html#K3">*</a> 1,1 <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>2</sub></font>
 <b>by </b><i><a class="txt" href="matrix_2.html#E3:10"><i><font color="Green">E5</font></i></a>, <a class="ref" href="matrix_1.html#D6">MATRIX_1:def 6</a></i>;<br/>


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