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<b>let </b><font color="Maroon">z2</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="complfld.html#K1" target="_self">F_Complex</a> ;<br/><b>let </b><font color="Maroon">z4</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="complfld.html#K1" target="_self">F_Complex</a> ;<br/><b>let </b><font color="Maroon">z1</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="complfld.html#K1" target="_self">F_Complex</a> ;<br/><b>let </b><font color="Maroon">z3</font> be   <a href="struct_0.html#NM1">Element</a> of <a href="complfld.html#K1" target="_self">F_Complex</a> ;<br/>







<b>reconsider </b><font color="Maroon">z1'</font> = <font color="Maroon">z1</font>, <font color="Maroon">z2'</font> = <font color="Maroon">z2</font>, <font color="Maroon">z3'</font> = <font color="Maroon">z3</font>, <font color="Maroon">z4'</font> = <font color="Maroon">z4</font> as    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a>  <b>by </b><i/>;<br/>
<b>assume </b><a NAME="E2:50"/><i><font color="Green">E36</font></i>: 
<font color="Maroon">z2</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <a href="complfld.html#K1" target="_self">F_Complex</a> 
 ;<br/>

<b>assume </b><a NAME="E3:50"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">z4</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <a href="complfld.html#K1" target="_self">F_Complex</a> 
 ;<br/>

<a NAME="E4:50"/><b>then </b><i><font color="Green">E56</font></i>: 
( <font color="Maroon">z1'</font> <a href="binop_2.html#K6">/</a> <font color="Maroon">z2'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z1</font> <a href="vectsp_1.html#K5">/</a> <font color="Maroon">z2</font> &amp; <font color="Maroon">z3'</font> <a href="binop_2.html#K6">/</a> <font color="Maroon">z4'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z3</font> <a href="vectsp_1.html#K5">/</a> <font color="Maroon">z4</font> )
 
<b>by </b><i>, </i>;<br/>
<a NAME="E5:50"/><i><font color="Green">E63</font></i>: 
<font color="Maroon">z2'</font> <a href="binop_2.html#K5">*</a> <font color="Maroon">z4'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z2</font> <a href="group_1.html#K10">*</a> <font color="Maroon">z4</font>
 
<b>by </b><i/>;<br/>
<a NAME="E6:50"/><i><font color="Green">E65</font></i>: 
<font color="Maroon">z2</font> <a href="group_1.html#K10">*</a> <font color="Maroon">z4</font> <a href="hidden.html#NR2" target="_self">&lt;&gt;</a>  <a href="rlvect_1.html#K1">0.</a> <a href="complfld.html#K1" target="_self">F_Complex</a> 
 
<b>by </b><i>, , <a class="ref" href="vectsp_1.html#T44">VECTSP_1:44</a></i>;<br/>
<a NAME="E7:50"/>
( <font color="Maroon">z1'</font> <a href="binop_2.html#K5">*</a> <font color="Maroon">z4'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z1</font> <a href="group_1.html#K10">*</a> <font color="Maroon">z4</font> &amp; <font color="Maroon">z3'</font> <a href="binop_2.html#K5">*</a> <font color="Maroon">z2'</font> <a href="hidden.html#R1">=</a> <font color="Maroon">z3</font> <a href="group_1.html#K10">*</a> <font color="Maroon">z2</font> )
 
<b>by </b><i/>;<br/>
<a NAME="E8:50"/><b>then </b><i><font color="Green">E66</font></i>: 
<span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="group_1.html#K10">*</a> <font color="Maroon">z4</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">z3</font> <a href="group_1.html#K10">*</a> <font color="Maroon">z2</font></span>)</span> <a href="hidden.html#R1">=</a> <span class="p1">(<span class="default"><font color="Maroon">z1'</font> <a href="binop_2.html#K5">*</a> <font color="Maroon">z4'</font></span>)</span> <a href="binop_2.html#K4">-</a> <span class="p1">(<span class="default"><font color="Maroon">z3'</font> <a href="binop_2.html#K5">*</a> <font color="Maroon">z2'</font></span>)</span>
 
<b>by </b><i/>;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">z1</font> <a href="vectsp_1.html#K5">/</a> <font color="Maroon">z2</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p1">(<span class="default"><font color="Maroon">z3</font> <a href="vectsp_1.html#K5">/</a> <font color="Maroon">z4</font></span>)</span> = 
<span class="p1">(<span class="default"><font color="Maroon">z1'</font> <a href="binop_2.html#K6">/</a> <font color="Maroon">z2'</font></span>)</span> <a href="binop_2.html#K4">-</a> <span class="p1">(<span class="default"><font color="Maroon">z3'</font> <a href="binop_2.html#K6">/</a> <font color="Maroon">z4'</font></span>)</span>
<b>by </b><i>, </i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">z1'</font> <a href="binop_2.html#K5">*</a> <font color="Maroon">z4'</font></span>)</span> <a href="binop_2.html#K4">-</a> <span class="p2">(<span class="default"><font color="Maroon">z3'</font> <a href="binop_2.html#K5">*</a> <font color="Maroon">z2'</font></span>)</span></span>)</span> <a href="binop_2.html#K6">/</a> <span class="p1">(<span class="default"><font color="Maroon">z2'</font> <a href="binop_2.html#K5">*</a> <font color="Maroon">z4'</font></span>)</span>
<b>by </b><i>, , , <a class="ref" href="xcmplx_1.html#T131">XCMPLX_1:131</a></i>
<br/>.= 
<span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon">z1</font> <a href="group_1.html#K10">*</a> <font color="Maroon">z4</font></span>)</span> <a href="rlvect_1.html#K6">-</a> <span class="p2">(<span class="default"><font color="Maroon">z3</font> <a href="group_1.html#K10">*</a> <font color="Maroon">z2</font></span>)</span></span>)</span> <a href="vectsp_1.html#K5">/</a> <span class="p1">(<span class="default"><font color="Maroon">z2</font> <a href="group_1.html#K10">*</a> <font color="Maroon">z4</font></span>)</span>
<b>by </b><i>, , , </i>
;<br/>


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