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<b>let </b><font color="Maroon">T</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="struct_0.html#L1">1-sorted</a> ;<br/><b>let </b><font color="Maroon">S1</font> be   <a href="prob_1.html#NM2">SetSequence</a> of the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">T</font>;<br/><b>let </b><font color="Maroon">S2</font> be    <a href="kurato_2.html#M1" target="_self">subsequence</a> of <font color="Maroon">S1</font>;<br/><b>let </b><font color="Maroon">S3</font> be    <a href="kurato_2.html#M1" target="_self">subsequence</a> of <font color="Maroon">S2</font>;<br/>







<b>consider </b><font color="Maroon">NS2</font> being  <a href="seqm_3.html#V1">increasing</a> <a href="seqm_3.html#NM1">Seq_of_Nat</a><b> such that </b><br/><a NAME="E2:61"/><i><font color="Green">E43</font></i>: 
<font color="Maroon">S3</font> <a href="hidden.html#R1">=</a> <font color="Maroon">S2</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">NS2</font>
 <b>by </b><i/>;<br/>
<b>consider </b><font color="Maroon">NS1</font> being  <a href="seqm_3.html#V1">increasing</a> <a href="seqm_3.html#NM1">Seq_of_Nat</a><b> such that </b><br/><a NAME="E4:61"/><i><font color="Green">E49</font></i>: 
<font color="Maroon">S2</font> <a href="hidden.html#R1">=</a> <font color="Maroon">S1</font> <a href="partfun1.html#K1">*</a> <font color="Maroon">NS1</font>
 <b>by </b><i/>;<br/>
<a NAME="E5:61"/>
<font color="Maroon">S3</font> <a href="hidden.html#R1">=</a> <font color="Maroon">S1</font> <a href="partfun1.html#K1">*</a> <span class="p1">(<span class="default"><font color="Maroon">NS1</font> <a href="seqm_3.html#K4">*</a> <font color="Maroon">NS2</font></span>)</span>
 
<b>by </b><i>, , <a class="ref" href="relat_1.html#T55">RELAT_1:55</a></i>;<br/>
<b>hence </b><a NAME="E6:61"/>
<font color="Maroon">S3</font> is    <a href="kurato_2.html#M1" target="_self">subsequence</a> of <font color="Maroon">S1</font>
 <b>by </b><i/>;<br/>


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