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<b>let </b><font color="Maroon" title="c1">S</font> be   <a href="normsp_1.html#NM1" title="NORMSP_1:NM.1">RealNormSpace</a>;<br/><b>let </b><font color="Maroon" title="c2">h</font> be   <a href="partfun1.html#NM1" title="PARTFUN1:NM.1">PartFunc</a> of the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c1">S</font>, <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> ;<br/><b>let </b><font color="Maroon" title="c3">seq1</font>, <font color="Maroon" title="c4">seq2</font> be   <a href="normsp_1.html#NM2" title="NORMSP_1:NM.2">sequence</a> of <font color="Maroon" title="c1">S</font>;<br/>





<b>assume </b><a NAME="E1:24"/><i><font color="Green" title="E21">A1</font></i>: 
(  <a href="relset_1.html#K5" title="RELSET_1:func.5">rng</a> <font color="Maroon" title="c3">seq1</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="c2">h</font> &amp; <font color="Maroon" title="c4">seq2</font> is    <a href="bhsp_3.html#M1" title="BHSP_3:mode.1">subsequence</a> of <font color="Maroon" title="c3">seq1</font> )
 ;<br/>

<b>then consider </b><font color="Maroon" title="c5">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="E3:24"/><i><font color="Green" title="E22">A2</font></i>: 
<font color="Maroon" title="c4">seq2</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Maroon" title="c3">seq1</font> <a href="lopban_3.html#K5" title="LOPBAN_3:func.5">*</a> <font color="Maroon" title="c5">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="c5">Ns</font>
; <i><font color="Red">:: according to </font></i><a class="ref" href="seqm_3.html#D10" title="SEQM_3:def.10">SEQM_3:def 10</a><br/>

<b>thus </b><a NAME="E4:24"/>
<font color="Maroon" title="c2">h</font> <a href="nfcont_1.html#K4" title="NFCONT_1:func.4">*</a> <font color="Maroon" title="c4">seq2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Maroon" title="c2">h</font> <a href="nfcont_1.html#K4" title="NFCONT_1:func.4">*</a> <font color="Maroon" title="c3">seq1</font></span>)</span> <a href="seqm_3.html#K3" title="SEQM_3:func.3">*</a> <font color="Maroon" title="c5">Ns</font>
 <b>by </b><i><a class="txt" href="nfcont_1.html#E1:24"><i><font color="Green" title="E21">A1</font></i></a>, <a class="txt" href="nfcont_1.html#E3:24"><i><font color="Green" title="E22">A2</font></i></a>, <a class="ref" href="nfcont_1.html#T11" target="_self" title="NFCONT_1:th.11">Th11</a></i>;<br/>


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