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<b>let </b><font color="Maroon" title="c1">A</font> be  <a href="membered.html#V1" title="MEMBERED:attr.1">complex-membered</a>  <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide">  <a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">A</font> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> </span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> </span><br/><b>let </b><font color="Maroon" title="c2">a</font> be  <a href="xcmplx_0.html#V1" title="XCMPLX_0:attr.1">complex</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="membered.html#D13" title="MEMBERED:def.13">MEMBERED:def 13</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( (  not <font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">A</font> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> </span>)</span> or <font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a>  ) &amp; (  not <font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a>  or <font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">A</font> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> </span>)</span> ) )</span><br/>



<a NAME="E1:69"/><i><font color="Green" title="E42">A1</font></i>: 
<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <font color="Maroon" title="c2">a</font></span>)</span> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span>
 
<b>by </b><i><a class="ref" href="xcmplx_1.html#T224" title="XCMPLX_1:th.224">XCMPLX_1:224</a></i>;<br/>
<div><b>hereby </b> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  not <font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a>  or <font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">A</font> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> </span>)</span> )</span>
<div class="add"><b>assume </b><a NAME="E1:69_1"/>
<font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">A</font> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> </span>)</span>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> </span><br/><a NAME="E2:69_1"/><b>then </b>
 <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">A</font> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> 
 <b>by </b><i><a class="ref" href="member_1.html#T18" target="_self" title="MEMBER_1:th.18">Th18</a></i>;<br/><a NAME="E3:69_1"/><b>then </b>
<span class="p1">(<span class="default"><a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <font color="Maroon" title="c2">a</font></span>)</span> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">A</font>
 <b>by </b><i><a class="ref" href="member_1.html#T35" target="_self" title="MEMBER_1:th.35">Th35</a></i>;<br/><a NAME="E4:69_1"/><b>then </b>
<font color="Maroon" title="c2">a</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <font color="Maroon" title="c1">A</font>
 <b>by </b><i><a class="txt" href="#E1:69"><i><font color="Green" title="E42">A1</font></i></a>, <a class="ref" href="member_1.html#T18" target="_self" title="MEMBER_1:th.18">Th18</a></i>;<br/><b>hence </b><a NAME="E5:69_1"/>
<font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> 
 <b>by </b><i><a class="ref" href="member_1.html#T35" target="_self" title="MEMBER_1:th.35">Th35</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/></div>
<b>end;</b></div>

<b>assume </b><a NAME="E3:69"/>
<font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <span class="p1">(<span class="default"><a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <font color="Maroon" title="c1">A</font></span>)</span> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> 
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">A</font> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> </span>)</span></span><br/>

<a NAME="E4:69"/><b>then </b>
<font color="Maroon" title="c2">a</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a>  <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <font color="Maroon" title="c1">A</font>
 
<b>by </b><i><a class="ref" href="member_1.html#T35" target="_self" title="MEMBER_1:th.35">Th35</a></i>;<br/>
<a NAME="E5:69"/><b>then </b>
 <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">a</font> <a href="xcmplx_0.html#K5" title="XCMPLX_0:func.5">"</a> </span>)</span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">A</font>
 
<b>by </b><i><a class="ref" href="member_1.html#T18" target="_self" title="MEMBER_1:th.18">Th18</a></i>;<br/>
<a NAME="E6:69"/><b>then </b>
 <a href="xcmplx_0.html#K4" title="XCMPLX_0:func.4">-</a> <font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">A</font> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> 
 
<b>by </b><i><a class="txt" href="#E1:69"><i><font color="Green" title="E42">A1</font></i></a>, <a class="ref" href="member_1.html#T35" target="_self" title="MEMBER_1:th.35">Th35</a></i>;<br/>
<b>hence </b><a NAME="E7:69"/>
<font color="Maroon" title="c2">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="member_1.html#K2" title="MEMBER_1:func.2">--</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">A</font> <a href="member_1.html#K4" title="MEMBER_1:func.4">""</a> </span>)</span>
 <b>by </b><i><a class="ref" href="member_1.html#T18" target="_self" title="MEMBER_1:th.18">Th18</a></i>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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