<?xml version="1.0"?>
<div class="add">

<b>let </b><font color="Maroon">c<sub>1</sub></font> be    <a href="hidden.html#M1">set</a> ;<br/>

<a NAME="E1:102"/>
<font color="Maroon">c<sub>1</sub></font> <a href="finseq_1.html#K13">*</a>  is    <a href="finseq_2.html#M1" target="_self">FinSequenceSet</a> of <font color="Maroon">c<sub>1</sub></font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="102_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">c<sub>2</sub></font> be    <a href="hidden.html#M1">set</a> ; <i><font color="Red">:: according to </font></i><a class="ref" href="finseq_2.html#D3" target="_self">FINSEQ_2:def 3</a><br/>

<b>thus </b><a NAME="E1:102_1"/>
( <font color="Maroon">c<sub>2</sub></font> <a href="hidden.html#R2">in</a> <font color="Maroon">c<sub>1</sub></font> <a href="finseq_1.html#K13">*</a>  implies <font color="Maroon">c<sub>2</sub></font> is    <a href="finseq_1.html#M2">FinSequence</a> of <font color="Maroon">c<sub>1</sub></font> )
 <b>by </b><i><a class="ref" href="finseq_1.html#D11">FINSEQ_1:def 11</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:102"/>
<font color="Maroon">c<sub>1</sub></font> <a href="finseq_1.html#K13">*</a>  is   <a href="finseq_2.html#NM2">FinSequence-DOMAIN</a> of <font color="Maroon">c<sub>1</sub></font>
 ;<br/>


</div>
