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<a NAME="E1:2_1_1"/><i><font color="Green">E2</font></i>: 
0 <a href="xxreal_0.html#R1">&lt;=</a>  <a href="complex1.html#K18">abs</a> <font color="Maroon">c<sub>1</sub></font>
 
<b>by </b><i><a class="ref" href="complex1.html#T132">COMPLEX1:132</a></i>;<br/>
<a NAME="E2:2_1_1"/>
 <a href="complex1.html#K18">abs</a> <font color="Maroon">c<sub>1</sub></font> is   <a href="int_1.html#NM1">Integer</a>
 
<b>by </b><i><a class="txt" href="prepower.html#E1"><i><font color="Green">Lemma1</font></i></a></i>;<br/>
<a NAME="E3:2_1_1"/><b>then </b>
 <a href="complex1.html#K18">abs</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K5">NAT</a> 
 
<b>by </b><i><a class="txt" href="prepower.html#E1:2_1_1"><i><font color="Green">E2</font></i></a>, <a class="ref" href="int_1.html#T16">INT_1:16</a></i>;<br/>
<b>hence </b><a NAME="E4:2_1_1"/>
 <a href="complex1.html#K18">abs</a> <font color="Maroon">c<sub>1</sub></font> is <a href="ordinal1.html#V7">natural</a>
 <b>by </b><i><a class="ref" href="ordinal1.html#D13">ORDINAL1:def 13</a></i>;<br/>


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