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<b>let </b><font color="Maroon" title="c2">n</font> be    <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"> ( <font color="Maroon" title="c2">n</font> is <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a> implies <font color="Maroon" title="c2">n</font> is <a href="xcmplx_0.html#V1" title="XCMPLX_0:attr.1">complex</a> )</span><br/>

<b>assume </b><a NAME="E1:17_1_1"/>
<font color="Maroon" title="c2">n</font> is <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</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">n</font> is <a href="xcmplx_0.html#V1" title="XCMPLX_0:attr.1">complex</a></span><br/>

<a NAME="E2:17_1_1"/><b>then </b>
<font color="Maroon" title="c2">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">NAT</a> 
 
<b>by </b><i><a class="ref" href="ordinal1.html#D13" title="ORDINAL1:def.13">ORDINAL1:def 13</a></i>;<br/>
<a NAME="E3:17_1_1"/><b>then </b>
<font color="Maroon" title="c2">n</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> 
 
;<br/>
<b>hence </b><a NAME="E4:17_1_1"/>
<font color="Maroon" title="c2">n</font> is <a href="xcmplx_0.html#V1" title="XCMPLX_0:attr.1">complex</a>
 <b>by </b><i><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"><i><font color="Green" title="E9">Lm4</font></i></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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