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<a NAME="E1:100_1_1"/>
<span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K6">&lt;*&gt;</a> <font color="Maroon">D</font></span>)</span></span><a href="domain_1.html#K6">}</a></span> is    <a href="finseq_2.html#M1" target="_self">FinSequenceSet</a> of <font color="Maroon">D</font>
 
<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="100_1_1_1"><b>proof </b></a><div class="add">

<b>let </b><font color="Maroon">a</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="E1:100_1_1_1"/>
( <font color="Maroon">a</font> <a href="hidden.html#R2">in</a> <span class="p1"><a href="domain_1.html#K6">{</a><span class="default"><span class="p2">(<span class="default"><a href="finseq_1.html#K6">&lt;*&gt;</a> <font color="Maroon">D</font></span>)</span></span><a href="domain_1.html#K6">}</a></span> implies <font color="Maroon">a</font> is    <a href="finseq_1.html#M2">FinSequence</a> of <font color="Maroon">D</font> )
 <b>by </b><i><a class="ref" href="tarski.html#D1">TARSKI:def 1</a></i>;<br/>


</div><b>end;</b></div>
<b>hence </b><a NAME="E2:100_1_1"/>
not for <font color="Olive">b<sub>1</sub></font> being   <a href="finseq_2.html#M1" target="_self">FinSequenceSet</a> of <font color="Maroon">D</font> holds  <font color="Olive">b<sub>1</sub></font> is <a href="xboole_0.html#V1">empty</a>
 ;<br/>


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