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

<b>let </b><font color="Maroon">CNS</font> be   <a href="clvect_1.html#NM5">ComplexNormSpace</a>;<br/><b>let </b><font color="Maroon">h</font> be   <a href="partfun1.html#NM1">PartFunc</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">CNS</font>, <a href="numbers.html#K1">REAL</a> ;<br/><b>let </b><font color="Maroon">Cseq</font> be   <a href="normsp_1.html#NM2">sequence</a> of <font color="Maroon">CNS</font>;<br/><b>let </b><font color="Maroon">Ns</font> be  <a href="seqm_3.html#V1">increasing</a> <a href="seqm_3.html#NM1">Seq_of_Nat</a>;<br/>







<b>assume </b><a NAME="E1:40"/><i><font color="Green">E34</font></i>: 
 <a href="relset_1.html#K5">rng</a> <font color="Maroon">Cseq</font> <a href="tarski.html#R1">c=</a>  <a href="relset_1.html#K4">dom</a> <font color="Maroon">h</font>
 ;<br/>

<a NAME="E2:40"/>
<font color="Maroon">Cseq</font> <a href="lopban_3.html#K5">*</a> <font color="Maroon">Ns</font> is    <a href="bhsp_3.html#M1">subsequence</a> of <font color="Maroon">Cseq</font>
 
<b>by </b><i><a class="ref" href="bhsp_3.html#D4">BHSP_3:def 4</a></i>;<br/>
<a NAME="E3:40"/><b>then </b>
 <a href="relset_1.html#K5">rng</a> <span class="p1">(<span class="default"><font color="Maroon">Cseq</font> <a href="lopban_3.html#K5">*</a> <font color="Maroon">Ns</font></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="relset_1.html#K5">rng</a> <font color="Maroon">Cseq</font>
 
<b>by </b><i/>;<br/>
<a NAME="E4:40"/><b>then </b><i><font color="Green">E35</font></i>: 
 <a href="relset_1.html#K5">rng</a> <span class="p1">(<span class="default"><font color="Maroon">Cseq</font> <a href="lopban_3.html#K5">*</a> <font color="Maroon">Ns</font></span>)</span> <a href="tarski.html#R1">c=</a>  <a href="relset_1.html#K4">dom</a> <font color="Maroon">h</font>
 
<b>by </b><i><a class="ref" href="ncfcont1.html#T2" target="_self">Th2</a>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<b>thus </b><span class="p1">(<span class="default"><font color="Maroon">h</font> <a href="ncfcont1.html#K10" target="_self">*</a> <font color="Maroon">Cseq</font></span>)</span> <a href="seqm_3.html#K3">*</a> <font color="Maroon">Ns</font> = 
<span class="p1">(<span class="default"><font color="Maroon">h</font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Maroon">Cseq</font></span>)</span> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Maroon">Ns</font>
<b>by </b><i><a class="ref" href="ncfcont1.html#T2" target="_self">Th2</a>, </i>
<br/>.= 
<font color="Maroon">h</font> <a href="funct_1.html#NK3" target="_self">*</a> <span class="p1">(<span class="default"><font color="Maroon">Cseq</font> <a href="lopban_3.html#K5">*</a> <font color="Maroon">Ns</font></span>)</span>
<b>by </b><i><a class="ref" href="relat_1.html#T55">RELAT_1:55</a></i>
<br/>.= 
<font color="Maroon">h</font> <a href="ncfcont1.html#K10" target="_self">*</a> <span class="p1">(<span class="default"><font color="Maroon">Cseq</font> <a href="lopban_3.html#K5">*</a> <font color="Maroon">Ns</font></span>)</span>
<b>by </b><i>, </i>
;<br/>


</div>
