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<a NAME="E1:14_3_1"/><span class="lab"><font color="Green" title="E10">A20</font></span>: 
1 <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 
;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c4">j</font> = 1 as   <a href="xcmplx_0.html#V1" title="XCMPLX_0:attr.1">complex</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a>  <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:14_3_1"><span class="lab"><font color="Green" title="E10">A20</font></span></a>, <a class="ref" href="xcmplx_0.html#D2" target="_self" title="XCMPLX_0:def.2">Def2</a>, <a class="txt" href="xcmplx_0.html#E14"><span class="lab"><font color="Green" title="E9">Lm4</font></span></a></span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c5">u1</font>, <font color="Maroon" title="c6">u2</font>, <font color="Maroon" title="c7">v1</font>, <font color="Maroon" title="c8">v2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <span class="kw"> such that </span><br/><a NAME="E4:14_3_1"/><span class="lab"><font color="Green" title="E11">A21</font></span>: 
<font color="Maroon" title="c4">j</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="arytm_0.html#K5" title="ARYTM_0:func.5">[*</a><span class="default"><font color="Maroon" title="c5">u1</font>,<font color="Maroon" title="c6">u2</font></span><a href="arytm_0.html#K5" title="ARYTM_0:func.5">*]</a></span>
 <span class="kw">and </span><br/><a NAME="E5:14_3_1"/><span class="lab"><font color="Green" title="E12">A22</font></span>: 
( <font color="Maroon" title="c3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="arytm_0.html#K5" title="ARYTM_0:func.5">[*</a><span class="default"><font color="Maroon" title="c7">v1</font>,<font color="Maroon" title="c8">v2</font></span><a href="arytm_0.html#K5" title="ARYTM_0:func.5">*]</a></span> &amp; <font color="Maroon" title="c4">j</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="arytm_0.html#K5" title="ARYTM_0:func.5">[*</a><span class="default"><span class="p2">(<span class="default"><a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <span class="p3">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c5">u1</font>,<font color="Maroon" title="c7">v1</font></span>)</span>,<span class="p3">(<span class="default"><a href="arytm_0.html#K3" title="ARYTM_0:func.3">opp</a> <span class="p4">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c6">u2</font>,<font color="Maroon" title="c8">v2</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <span class="p3">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c5">u1</font>,<font color="Maroon" title="c8">v2</font></span>)</span>,<span class="p3">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c6">u2</font>,<font color="Maroon" title="c7">v1</font></span>)</span></span>)</span></span><a href="arytm_0.html#K5" title="ARYTM_0:func.5">*]</a></span> )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="xcmplx_0.html#D5" target="_self" title="XCMPLX_0:def.5">Def5</a></span>;<br/>
<a NAME="E6:14_3_1"/><span class="lab"><font color="Green" title="E13">A23</font></span>: 
<font color="Maroon" title="c6">u2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:14_3_1"><span class="lab"><font color="Green" title="E11">A21</font></span></a>, <a class="ref" href="arytm_0.html#T26" title="ARYTM_0:th.26">ARYTM_0:26</a></span>;<br/>
<a NAME="E7:14_3_1"/><span class="lab"><font color="Green" title="E14">A24</font></span>: 
 <a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <span class="p1">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c5">u1</font>,<font color="Maroon" title="c8">v2</font></span>)</span>,<span class="p1">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c6">u2</font>,<font color="Maroon" title="c7">v1</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c5">u1</font>,<font color="Maroon" title="c8">v2</font>
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E6:14_3_1"><span class="lab"><font color="Green" title="E13">A23</font></span></a>, <a class="ref" href="arytm_0.html#T13" title="ARYTM_0:th.13">ARYTM_0:13</a>, <a class="ref" href="arytm_0.html#T14" title="ARYTM_0:th.14">ARYTM_0:14</a></span>;<br/>
<a NAME="E8:14_3_1"/><span class="lab"><font color="Green" title="E15">A25</font></span>: 
<font color="Maroon" title="c5">u1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:14_3_1"><span class="lab"><font color="Green" title="E11">A21</font></span></a>, <a class="txt" href="#E6:14_3_1"><span class="lab"><font color="Green" title="E13">A23</font></span></a>, <a class="ref" href="arytm_0.html#D7" title="ARYTM_0:def.7">ARYTM_0:def 7</a></span>;<br/>
<a NAME="E9:14_3_1"/><span class="lab"><font color="Green" title="E16">A26</font></span>: 
 <a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,<span class="p1">(<span class="default"><a href="arytm_0.html#K3" title="ARYTM_0:func.3">opp</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="arytm_0.html#D4" title="ARYTM_0:def.4">ARYTM_0:def 4</a></span>;<br/>
<a NAME="E10:14_3_1"/><span class="lab"><font color="Green" title="E17">A27</font></span>: 
 <a href="arytm_0.html#K3" title="ARYTM_0:func.3">opp</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E9:14_3_1"><span class="lab"><font color="Green" title="E16">A26</font></span></a>, <a class="ref" href="arytm_0.html#T13" title="ARYTM_0:th.13">ARYTM_0:13</a></span>;<br/>
<span class="lab"><font color="Green" title="E18">A28</font></span>:  <a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <span class="p1">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c5">u1</font>,<font color="Maroon" title="c7">v1</font></span>)</span>,<span class="p1">(<span class="default"><a href="arytm_0.html#K3" title="ARYTM_0:func.3">opp</a> <span class="p2">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c6">u2</font>,<font color="Maroon" title="c8">v2</font></span>)</span></span>)</span> = 
 <a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <font color="Maroon" title="c7">v1</font>,<span class="p1">(<span class="default"><a href="arytm_0.html#K3" title="ARYTM_0:func.3">opp</a> <span class="p2">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c6">u2</font>,<font color="Maroon" title="c8">v2</font></span>)</span></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E8:14_3_1"><span class="lab"><font color="Green" title="E15">A25</font></span></a>, <a class="ref" href="arytm_0.html#T21" title="ARYTM_0:th.21">ARYTM_0:21</a></span>
<br/>.= 
 <a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <font color="Maroon" title="c7">v1</font>,<span class="p1">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <span class="p2">(<span class="default"><a href="arytm_0.html#K3" title="ARYTM_0:func.3">opp</a> <font color="Maroon" title="c6">u2</font></span>)</span>,<font color="Maroon" title="c8">v2</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="ref" href="arytm_0.html#T17" title="ARYTM_0:th.17">ARYTM_0:17</a></span>
<br/>.= 
 <a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <font color="Maroon" title="c7">v1</font>,<span class="p1">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,<font color="Maroon" title="c8">v2</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E4:14_3_1"><span class="lab"><font color="Green" title="E11">A21</font></span></a>, <a class="txt" href="#E10:14_3_1"><span class="lab"><font color="Green" title="E17">A27</font></span></a>, <a class="ref" href="arytm_0.html#T26" title="ARYTM_0:th.26">ARYTM_0:26</a></span>
<br/>.= 
<font color="Maroon" title="c7">v1</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="arytm_0.html#T13" title="ARYTM_0:th.13">ARYTM_0:13</a>, <a class="ref" href="arytm_0.html#T14" title="ARYTM_0:th.14">ARYTM_0:14</a></span>
;<br/>
<a NAME="E12:14_3_1"/><span class="lab"><font color="Green" title="E19">A29</font></span>: 
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 
;<br/>
<span class="kw">reconsider </span><font color="Maroon" title="c9">z</font> =  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a>  as   <a href="xcmplx_0.html#V1" title="XCMPLX_0:attr.1">complex</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a>  <span class="kw">by</span> <span class="lab"><a class="txt" href="#E12:14_3_1"><span class="lab"><font color="Green" title="E19">A29</font></span></a>, <a class="ref" href="xcmplx_0.html#D2" target="_self" title="XCMPLX_0:def.2">Def2</a>, <a class="txt" href="xcmplx_0.html#E14"><span class="lab"><font color="Green" title="E9">Lm4</font></span></a></span>;<br/>
<span class="kw">consider </span><font color="Maroon" title="c10">u1</font>, <font color="Maroon" title="c11">u2</font>, <font color="Maroon" title="c12">v1</font>, <font color="Maroon" title="c13">v2</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <span class="kw"> such that </span><br/><a NAME="E15:14_3_1"/>
<font color="Maroon" title="c2">x</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="arytm_0.html#K5" title="ARYTM_0:func.5">[*</a><span class="default"><font color="Maroon" title="c10">u1</font>,<font color="Maroon" title="c11">u2</font></span><a href="arytm_0.html#K5" title="ARYTM_0:func.5">*]</a></span>
 <span class="kw">and </span><br/><a NAME="E16:14_3_1"/><span class="lab"><font color="Green" title="E20">A30</font></span>: 
<font color="Maroon" title="c9">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="arytm_0.html#K5" title="ARYTM_0:func.5">[*</a><span class="default"><font color="Maroon" title="c12">v1</font>,<font color="Maroon" title="c13">v2</font></span><a href="arytm_0.html#K5" title="ARYTM_0:func.5">*]</a></span>
 <span class="kw">and </span><br/><a NAME="E17:14_3_1"/><span class="lab"><font color="Green" title="E21">A31</font></span>: 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c9">z</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="arytm_0.html#K5" title="ARYTM_0:func.5">[*</a><span class="default"><span class="p2">(<span class="default"><a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <span class="p3">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c10">u1</font>,<font color="Maroon" title="c12">v1</font></span>)</span>,<span class="p3">(<span class="default"><a href="arytm_0.html#K3" title="ARYTM_0:func.3">opp</a> <span class="p4">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c11">u2</font>,<font color="Maroon" title="c13">v2</font></span>)</span></span>)</span></span>)</span>,<span class="p2">(<span class="default"><a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <span class="p3">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c10">u1</font>,<font color="Maroon" title="c13">v2</font></span>)</span>,<span class="p3">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c11">u2</font>,<font color="Maroon" title="c12">v1</font></span>)</span></span>)</span></span><a href="arytm_0.html#K5" title="ARYTM_0:func.5">*]</a></span>
 <span class="kw">by</span> <span class="lab"><a class="ref" href="xcmplx_0.html#D5" target="_self" title="XCMPLX_0:def.5">Def5</a></span>;<br/>
<a NAME="E18:14_3_1"/><span class="lab"><font color="Green" title="E22">A32</font></span>: 
<font color="Maroon" title="c13">v2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E16:14_3_1"><span class="lab"><font color="Green" title="E20">A30</font></span></a>, <a class="ref" href="arytm_0.html#T26" title="ARYTM_0:th.26">ARYTM_0:26</a></span>;<br/>
<a NAME="E19:14_3_1"/><span class="lab"><font color="Green" title="E23">A33</font></span>: 
<font color="Maroon" title="c12">v1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E16:14_3_1"><span class="lab"><font color="Green" title="E20">A30</font></span></a>, <a class="txt" href="#E18:14_3_1"><span class="lab"><font color="Green" title="E22">A32</font></span></a>, <a class="ref" href="arytm_0.html#D7" title="ARYTM_0:def.7">ARYTM_0:def 7</a></span>;<br/>
<span class="lab"><font color="Green" title="E24">A34</font></span>:  <a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <span class="p1">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c10">u1</font>,<font color="Maroon" title="c12">v1</font></span>)</span>,<span class="p1">(<span class="default"><a href="arytm_0.html#K3" title="ARYTM_0:func.3">opp</a> <span class="p2">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c11">u2</font>,<font color="Maroon" title="c13">v2</font></span>)</span></span>)</span> = 
 <a href="arytm_0.html#K3" title="ARYTM_0:func.3">opp</a> <span class="p1">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c11">u2</font>,<font color="Maroon" title="c13">v2</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E19:14_3_1"><span class="lab"><font color="Green" title="E23">A33</font></span></a>, <a class="ref" href="arytm_0.html#T13" title="ARYTM_0:th.13">ARYTM_0:13</a>, <a class="ref" href="arytm_0.html#T14" title="ARYTM_0:th.14">ARYTM_0:14</a></span>
<br/>.= 
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E10:14_3_1"><span class="lab"><font color="Green" title="E17">A27</font></span></a>, <a class="txt" href="#E16:14_3_1"><span class="lab"><font color="Green" title="E20">A30</font></span></a>, <a class="ref" href="arytm_0.html#T14" title="ARYTM_0:th.14">ARYTM_0:14</a>, <a class="ref" href="arytm_0.html#T26" title="ARYTM_0:th.26">ARYTM_0:26</a></span>
;<br/>
<span class="lab"><font color="Green" title="E25">A35</font></span>:  <a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <span class="p1">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c10">u1</font>,<font color="Maroon" title="c13">v2</font></span>)</span>,<span class="p1">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c11">u2</font>,<font color="Maroon" title="c12">v1</font></span>)</span> = 
 <a href="arytm_0.html#K1" title="ARYTM_0:func.1">+</a> <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> ,<span class="p1">(<span class="default"><a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c11">u2</font>,<font color="Maroon" title="c12">v1</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E16:14_3_1"><span class="lab"><font color="Green" title="E20">A30</font></span></a>, <a class="ref" href="arytm_0.html#T14" title="ARYTM_0:th.14">ARYTM_0:14</a>, <a class="ref" href="arytm_0.html#T26" title="ARYTM_0:th.26">ARYTM_0:26</a></span>
<br/>.= 
 <a href="arytm_0.html#K2" title="ARYTM_0:func.2">*</a> <font color="Maroon" title="c11">u2</font>,<font color="Maroon" title="c12">v1</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="arytm_0.html#T13" title="ARYTM_0:th.13">ARYTM_0:13</a></span>
<br/>.= 
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E19:14_3_1"><span class="lab"><font color="Green" title="E23">A33</font></span></a>, <a class="ref" href="arytm_0.html#T14" title="ARYTM_0:th.14">ARYTM_0:14</a></span>
;<br/>
<span class="kw">assume </span><a NAME="E22:14_3_1"/><span class="lab"><font color="Green" title="E26">A36</font></span>: 
<font color="Maroon" title="c2">x</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c3">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
 ; <span class="comment"><font color="Red">:: according to </font></span><a class="ref" href="xcmplx_0.html#D3" target="_self" title="XCMPLX_0:def.3">XCMPLX_0:def 3</a> <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> contradiction</span><br/>

<span class="lab"><font color="Green" title="E27">A37</font></span>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c2">x</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c3">y</font> = 
<span class="p1">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c3">y</font></span>)</span>
<span class="kw">by</span> <span class="lab"><a class="txt" href="xcmplx_0.html#E13"><span class="lab"><font color="Green" title="E8">Lm3</font></span></a></span>
<br/>.= 
 <a href="numbers.html#K6" title="NUMBERS:func.6">0</a> 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E17:14_3_1"><span class="lab"><font color="Green" title="E21">A31</font></span></a>, <a class="txt" href="#E20:14_3_1"><span class="lab"><font color="Green" title="E24">A34</font></span></a>, <a class="txt" href="#E21:14_3_1"><span class="lab"><font color="Green" title="E25">A35</font></span></a>, <a class="txt" href="#E22:14_3_1"><span class="lab"><font color="Green" title="E26">A36</font></span></a>, <a class="ref" href="arytm_0.html#D7" title="ARYTM_0:def.7">ARYTM_0:def 7</a></span>
;<br/>
<span class="lab"><font color="Green" title="E28">A38</font></span>: <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Maroon" title="c2">x</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c2">x</font></span>)</span> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c3">y</font> = 
<font color="Maroon" title="c4">j</font> <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Maroon" title="c3">y</font>
<span class="kw">by</span> <span class="lab"><a class="ref" href="xcmplx_0.html#D7" target="_self" title="XCMPLX_0:def.7">Def7</a></span>
<br/>.= 
<font color="Maroon" title="c3">y</font>
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E5:14_3_1"><span class="lab"><font color="Green" title="E12">A22</font></span></a>, <a class="txt" href="#E7:14_3_1"><span class="lab"><font color="Green" title="E14">A24</font></span></a>, <a class="txt" href="#E8:14_3_1"><span class="lab"><font color="Green" title="E15">A25</font></span></a>, <a class="txt" href="#E11:14_3_1"><span class="lab"><font color="Green" title="E18">A28</font></span></a>, <a class="ref" href="arytm_0.html#T21" title="ARYTM_0:th.21">ARYTM_0:21</a></span>
;<br/>
<span class="kw">thus </span><a NAME="E25:14_3_1"/>
contradiction
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E23:14_3_1"><span class="lab"><font color="Green" title="E27">A37</font></span></a>, <a class="txt" href="#E24:14_3_1"><span class="lab"><font color="Green" title="E28">A38</font></span></a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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