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<b>let </b><font color="Maroon">c<sub>1</sub></font> be   <a href="funct_1.html#NM1">Function</a>;<br/>

<b>thus </b><a NAME="E1:3"/>
( <font color="Maroon">c<sub>1</sub></font> is   <a href="comseq_1.html#NM1">Complex_Sequence</a> implies (  <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="numbers.html#K5">NAT</a>  &amp; ( for <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> holds <font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> is    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a>  ) ) )
 <b>by </b><i><a class="ref" href="comseq_1.html#T1" target="_self">Th1</a></i>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E2:3"/><i><font color="Green">E3</font></i>: 
 <a href="relat_1.html#K1">dom</a> <font color="Maroon">c<sub>1</sub></font> <a href="hidden.html#R1">=</a>  <a href="numbers.html#K5">NAT</a> 
 <b>and </b><br/><a NAME="E3:3"/><i><font color="Green">E4</font></i>: 
for <font color="Olive">b<sub>1</sub></font> being  <a href="nat_1.html#NM1">Nat</a> holds <font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> is    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> 
 ;<br/>

<a NAME="E4:3"/>
for <font color="Olive">b<sub>1</sub></font> being   <a href="hidden.html#M1">set</a>  st <font color="Olive">b<sub>1</sub></font> <a href="hidden.html#R2">in</a>  <a href="numbers.html#K5">NAT</a>  holds <br/><font color="Maroon">c<sub>1</sub></font> <a href="funct_1.html#K1">.</a> <font color="Olive">b<sub>1</sub></font> is    <a href="subset_1.html#M1">Element</a> of  <a href="numbers.html#K2">COMPLEX</a> 
 
<b>by </b><i><a class="txt" href="comseq_1.html#E3:3"><i><font color="Green">E4</font></i></a></i>;<br/>
<b>hence </b><a NAME="E5:3"/>
<font color="Maroon">c<sub>1</sub></font> is   <a href="comseq_1.html#NM1">Complex_Sequence</a>
 <b>by </b><i><a class="txt" href="comseq_1.html#E2:3"><i><font color="Green">E3</font></i></a>, <a class="ref" href="comseq_1.html#T1" target="_self">Th1</a></i>;<br/>


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