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

<b>let </b><font color="Maroon" title="c1">CNS</font> be   <a href="clvect_1.html#NM5" title="CLVECT_1:NM.5">ComplexNormSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">RNS</font> be   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a>;<br/><b>let </b><font color="Maroon" title="c3">h</font> be   <a href="struct_0.html#NM10" title="STRUCT_0:NM.10">PartFunc</a> of <font color="Maroon" title="c2">RNS</font>,<font color="Maroon" title="c1">CNS</font>;<br/><b>let </b><font color="Maroon" title="c4">Rseq1</font>, <font color="Maroon" title="c5">Rseq2</font> be   <a href="struct_0.html#NM9" title="STRUCT_0:NM.9">sequence</a> of <font color="Maroon" title="c2">RNS</font>;<br/>







<b>assume </b><a NAME="E1:42"/><i><font color="Green" title="E41">A1</font></i>: 
(  <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <font color="Maroon" title="c4">Rseq1</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="relset_1.html#K4" title="RELSET_1:func.4">dom</a> <font color="Maroon" title="c3">h</font> &amp; <font color="Maroon" title="c5">Rseq2</font> is    <a href="bhsp_3.html#M1" title="BHSP_3:mode.1">subsequence</a> of <font color="Maroon" title="c4">Rseq1</font> )
 ;<br/>

<b>then consider </b><font color="Maroon" title="c6">Ns</font> being  <a href="seqm_3.html#V1" title="SEQM_3:attr.1">increasing</a> <a href="seqm_3.html#NM1" title="SEQM_3:NM.1">Seq_of_Nat</a><b> such that </b><br/><a NAME="E3:42"/><i><font color="Green" title="E42">A2</font></i>: 
<font color="Maroon" title="c5">Rseq2</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c4">Rseq1</font> <a href="lopban_3.html#K4" title="LOPBAN_3:func.4">*</a> <font color="Maroon" title="c6">Ns</font>
 <b>by </b><i><a class="ref" href="bhsp_3.html#D4" title="BHSP_3:def.4">BHSP_3:def 4</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c6">Ns</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="bhsp_3.html#D4" title="BHSP_3:def.4">BHSP_3:def 4</a><br/>

<b>thus </b><a NAME="E4:42"/>
<font color="Maroon" title="c3">h</font> <a href="ncfcont1.html#K6" title="NCFCONT1:func.6">*</a> <font color="Maroon" title="c5">Rseq2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c6">Ns</font> <a href="relat_1.html#K5" title="RELAT_1:func.5">*</a> <span class="p1">(<span class="default"><font color="Maroon" title="c3">h</font> <a href="ncfcont1.html#K6" title="NCFCONT1:func.6">*</a> <font color="Maroon" title="c4">Rseq1</font></span>)</span>
 <b>by </b><i><a class="txt" href="ncfcont1.html#E1:42"><i><font color="Green" title="E41">A1</font></i></a>, <a class="txt" href="ncfcont1.html#E3:42"><i><font color="Green" title="E42">A2</font></i></a>, <a class="ref" href="ncfcont1.html#T18" target="_self" title="NCFCONT1:th.18">Th18</a></i>;<br/>


</div>
