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<b>let </b><font color="Maroon">c<sub>3</sub></font>, <font color="Maroon">c<sub>4</sub></font> be   <a href="matrix_1.html#NM1">Matrix</a> of <a href="numbers.html#K2">COMPLEX</a> ;<br/>

<b>assume </b><a NAME="E1:6_1_2"/><i><font color="Green">E1</font></i>: 
( ( for <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <a href="complfld.html#K1">F_Complex</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> holds <br/><font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a>  <a href="matrix_5.html#K2" target="_self">Field2COMPLEX</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="matrix_3.html#K6">*</a> <span class="p2">(<span class="default"><a href="matrix_5.html#K1" target="_self">COMPLEX2Field</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> ) &amp; ( for <font color="Olive">b<sub>1</sub></font> being  <a href="struct_0.html#NM1">Element</a> of <a href="complfld.html#K1">F_Complex</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>1</sub></font> holds <br/><font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="matrix_5.html#K2" target="_self">Field2COMPLEX</a> <span class="p1">(<span class="default"><font color="Olive">b<sub>1</sub></font> <a href="matrix_3.html#K6">*</a> <span class="p2">(<span class="default"><a href="matrix_5.html#K1" target="_self">COMPLEX2Field</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span> ) )
 ;<br/>

<a NAME="E2:6_1_2"/>
<font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K2">COMPLEX</a> 
 
<b>by </b><i><a class="ref" href="xcmplx_0.html#D2">XCMPLX_0:def 2</a></i>;<br/>
<b>then reconsider </b><font color="Maroon">c<sub>5</sub></font> = <font color="Maroon">c<sub>1</sub></font> as   <a href="struct_0.html#NM1">Element</a> of <a href="complfld.html#K1">F_Complex</a>  <b>by </b><i><a class="ref" href="complfld.html#D1">COMPLFLD:def 1</a></i>;<br/>
<a NAME="E4:6_1_2"/>
<font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a>  <a href="matrix_5.html#K2" target="_self">Field2COMPLEX</a> <span class="p1">(<span class="default"><font color="Maroon">c<sub>5</sub></font> <a href="matrix_3.html#K6">*</a> <span class="p2">(<span class="default"><a href="matrix_5.html#K1" target="_self">COMPLEX2Field</a> <font color="Maroon">c<sub>2</sub></font></span>)</span></span>)</span>
 
<b>by </b><i><a class="txt" href="matrix_5.html#E1:6_1_2"><i><font color="Green">E1</font></i></a></i>;<br/>
<b>hence </b><a NAME="E5:6_1_2"/>
<font color="Maroon">c<sub>3</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>4</sub></font>
 <b>by </b><i><a class="txt" href="matrix_5.html#E1:6_1_2"><i><font color="Green">E1</font></i></a></i>;<br/>


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