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<b>let </b><font color="Maroon" title="c1">z2</font>, <font color="Maroon" title="c2">z1</font> be   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</a> ;<br/>



<b>reconsider </b><font color="Maroon" title="c3">z1'</font> = <font color="Maroon" title="c2">z1</font>, <font color="Maroon" title="c4">z2'</font> = <font color="Maroon" title="c1">z2</font> as    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K2" title="NUMBERS:func.2">COMPLEX</a>  <b>by </b><i><a class="ref" href="complfld.html#D1" target="_self" title="COMPLFLD:def.1">Def1</a></i>;<br/>
<a NAME="E2:41"/><i><font color="Green" title="E10">A1</font></i>: 
 <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c2">z1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <font color="Maroon" title="c3">z1'</font>
 
<b>by </b><i><a class="ref" href="complfld.html#T4" target="_self" title="COMPLFLD:th.4">Th4</a></i>;<br/>
<a NAME="E3:41"/><i><font color="Green" title="E11">A2</font></i>: 
 <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c1">z2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <font color="Maroon" title="c4">z2'</font>
 
<b>by </b><i><a class="ref" href="complfld.html#T4" target="_self" title="COMPLFLD:th.4">Th4</a></i>;<br/>
<b>assume </b><a NAME="E4:41"/><i><font color="Green" title="E12">A3</font></i>: 
<font color="Maroon" title="c1">z2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</a> 
 ;<br/>

<a NAME="E5:41"/><b>then </b><i><font color="Green" title="E13">A4</font></i>: 
 <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c1">z2</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="struct_0.html#K4" title="STRUCT_0:func.4">0.</a> <a href="complfld.html#K1" title="COMPLFLD:func.1">F_Complex</a> 
 
<b>by </b><i><a class="ref" href="vectsp_1.html#T86" title="VECTSP_1:th.86">VECTSP_1:86</a></i>;<br/>
<a NAME="E6:41"/>
<font color="Maroon" title="c2">z1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">/</a> <font color="Maroon" title="c1">z2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">z1'</font> <a href="binop_2.html#K6" title="BINOP_2:func.6">/</a> <font color="Maroon" title="c4">z2'</font>
 
<b>by </b><i><a class="txt" href="complfld.html#E4:41"><i><font color="Green" title="E12">A3</font></i></a>, <a class="ref" href="complfld.html#T8" target="_self" title="COMPLFLD:th.8">Th8</a></i>;<br/>
<b>hence </b> <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">/</a> <font color="Maroon" title="c1">z2</font></span>)</span> = 
 <a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">z1'</font> <a href="binop_2.html#K6" title="BINOP_2:func.6">/</a> <font color="Maroon" title="c4">z2'</font></span>)</span>
<b>by </b><i><a class="ref" href="complfld.html#T4" target="_self" title="COMPLFLD:th.4">Th4</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <font color="Maroon" title="c3">z1'</font></span>)</span> <a href="binop_2.html#K6" title="BINOP_2:func.6">/</a> <font color="Maroon" title="c4">z2'</font>
<b>by </b><i><a class="ref" href="xcmplx_1.html#T188" title="XCMPLX_1:th.188">XCMPLX_1:188</a></i>
<br/>.= 
<span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c2">z1</font></span>)</span> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">/</a> <font color="Maroon" title="c1">z2</font>
<b>by </b><i><a class="txt" href="complfld.html#E2:41"><i><font color="Green" title="E10">A1</font></i></a>, <a class="txt" href="complfld.html#E4:41"><i><font color="Green" title="E12">A3</font></i></a>, <a class="ref" href="complfld.html#T8" target="_self" title="COMPLFLD:th.8">Th8</a></i>
;<br/><br/>

<a NAME="E8:41"/>
<font color="Maroon" title="c2">z1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">/</a> <font color="Maroon" title="c1">z2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">z1'</font> <a href="binop_2.html#K6" title="BINOP_2:func.6">/</a> <font color="Maroon" title="c4">z2'</font>
 
<b>by </b><i><a class="txt" href="complfld.html#E4:41"><i><font color="Green" title="E12">A3</font></i></a>, <a class="ref" href="complfld.html#T8" target="_self" title="COMPLFLD:th.8">Th8</a></i>;<br/>
<b>hence </b> <a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">z1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">/</a> <font color="Maroon" title="c1">z2</font></span>)</span> = 
 <a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">z1'</font> <a href="binop_2.html#K6" title="BINOP_2:func.6">/</a> <font color="Maroon" title="c4">z2'</font></span>)</span>
<b>by </b><i><a class="ref" href="complfld.html#T4" target="_self" title="COMPLFLD:th.4">Th4</a></i>
<br/>.= 
<font color="Maroon" title="c3">z1'</font> <a href="binop_2.html#K6" title="BINOP_2:func.6">/</a> <span class="p1">(<span class="default"><a href="binop_2.html#K1" title="BINOP_2:func.1">-</a> <font color="Maroon" title="c4">z2'</font></span>)</span>
<b>by </b><i><a class="ref" href="xcmplx_1.html#T189" title="XCMPLX_1:th.189">XCMPLX_1:189</a></i>
<br/>.= 
<font color="Maroon" title="c2">z1</font> <a href="vectsp_1.html#K3" title="VECTSP_1:func.3">/</a> <span class="p1">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <font color="Maroon" title="c1">z2</font></span>)</span>
<b>by </b><i><a class="txt" href="complfld.html#E3:41"><i><font color="Green" title="E11">A2</font></i></a>, <a class="txt" href="complfld.html#E5:41"><i><font color="Green" title="E13">A4</font></i></a>, <a class="ref" href="complfld.html#T8" target="_self" title="COMPLFLD:th.8">Th8</a></i>
;<br/><br/>


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