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<b>let </b><font color="Maroon" title="c1">seq</font>, <font color="Maroon" title="c2">seq1</font>, <font color="Maroon" title="c3">seq2</font> be   <a href="seq_1.html#NM1" title="SEQ_1:NM.1">Real_Sequence</a>;<br/>





<b>assume </b><b>that </b><br/><a NAME="E1:62"/><i><font color="Green" title="E42">A1</font></i>: 
<font color="Maroon" title="c1">seq</font> is    <a href="seqm_3.html#M1" title="SEQM_3:mode.1">subsequence</a> of <font color="Maroon" title="c2">seq1</font>
 <b>and </b><br/><a NAME="E2:62"/><i><font color="Green" title="E43">A2</font></i>: 
<font color="Maroon" title="c2">seq1</font> is    <a href="seqm_3.html#M1" title="SEQM_3:mode.1">subsequence</a> of <font color="Maroon" title="c3">seq2</font>
 ;<br/>

<b>consider </b><font color="Maroon" title="c4">Nseq1</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="E4:62"/><i><font color="Green" title="E44">A3</font></i>: 
<font color="Maroon" title="c1">seq</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c2">seq1</font> <a href="seqm_3.html#K3" title="SEQM_3:func.3">*</a> <font color="Maroon" title="c4">Nseq1</font>
 <b>by </b><i><a class="txt" href="seqm_3.html#E1:62"><i><font color="Green" title="E42">A1</font></i></a>, <a class="ref" href="seqm_3.html#D10" target="_self" title="SEQM_3:def.10">Def10</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c5">Nseq2</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="E6:62"/><i><font color="Green" title="E45">A4</font></i>: 
<font color="Maroon" title="c2">seq1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">seq2</font> <a href="seqm_3.html#K3" title="SEQM_3:func.3">*</a> <font color="Maroon" title="c5">Nseq2</font>
 <b>by </b><i><a class="txt" href="seqm_3.html#E2:62"><i><font color="Green" title="E43">A2</font></i></a>, <a class="ref" href="seqm_3.html#D10" target="_self" title="SEQM_3:def.10">Def10</a></i>;<br/>
<b>take </b><font color="Maroon" title="c6">Nseq</font> = <font color="Maroon" title="c5">Nseq2</font> <a href="seqm_3.html#K4" title="SEQM_3:func.4">*</a> <font color="Maroon" title="c4">Nseq1</font>; <i><font color="Red">:: according to </font></i><a class="ref" href="seqm_3.html#D10" target="_self" title="SEQM_3:def.10">SEQM_3:def 10</a><br/>

<b>thus </b><a NAME="E7:62"/>
<font color="Maroon" title="c1">seq</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">seq2</font> <a href="seqm_3.html#K3" title="SEQM_3:func.3">*</a> <font color="Maroon" title="c6">Nseq</font>
 <b>by </b><i><a class="txt" href="seqm_3.html#E4:62"><i><font color="Green" title="E44">A3</font></i></a>, <a class="txt" href="seqm_3.html#E6:62"><i><font color="Green" title="E45">A4</font></i></a>, <a class="ref" href="relat_1.html#T55" title="RELAT_1:th.55">RELAT_1:55</a></i>;<br/>


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