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<b>let </b><font color="Maroon">N1</font> be    <a href="pboole.html#M1" target="_self">ManySortedSet</a> of <font color="Maroon">I</font> <a href="finseq_2.html#K3">*</a> , <font color="Maroon">N2</font> be    <a href="pboole.html#M1" target="_self">ManySortedSet</a> of <font color="Maroon">I</font> <a href="finseq_2.html#K3">*</a> ;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:157_1_2"/><i><font color="Green">E26</font></i>: 
for <font color="Olive">i</font> being   <a href="finseq_2.html#M2">Element</a> of <font color="Maroon">I</font> <a href="finseq_2.html#K3">*</a>  holds  <font color="Maroon">N1</font> <a href="funct_1.html#K1">.</a> <font color="Olive">i</font> <a href="hidden.html#R1">=</a>  <a href="card_3.html#K4">product</a> <span class="p1">(<span class="default"><font color="Maroon">M</font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Olive">i</font></span>)</span>
 <b>and </b><br/><a NAME="E2:157_1_2"/><i><font color="Green">E27</font></i>: 
for <font color="Olive">i</font> being   <a href="finseq_2.html#M2">Element</a> of <font color="Maroon">I</font> <a href="finseq_2.html#K3">*</a>  holds  <font color="Maroon">N2</font> <a href="funct_1.html#K1">.</a> <font color="Olive">i</font> <a href="hidden.html#R1">=</a>  <a href="card_3.html#K4">product</a> <span class="p1">(<span class="default"><font color="Maroon">M</font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Olive">i</font></span>)</span>
 ;<br/>

<div><a class="txt" onclick="hs2(this)" href="javascript:()" title="157_1_2_1"><b>now </b></a><div class="add"><b>let </b><font color="Maroon">i</font> be    <a href="hidden.html#M1">set</a> ;<br/><b>assume </b><a NAME="E1:157_1_2_1"/>
<font color="Maroon">i</font> <a href="hidden.html#R2">in</a> <font color="Maroon">I</font> <a href="finseq_2.html#K3">*</a> 
 ;<br/><b>then reconsider </b><font color="Maroon">e</font> = <font color="Maroon">i</font> as    <a href="finseq_2.html#M2">Element</a> of <font color="Maroon">I</font> <a href="finseq_2.html#K3">*</a>  ;<br/><b>thus </b><font color="Maroon">N1</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font> = 
 <a href="card_3.html#K4">product</a> <span class="p1">(<span class="default"><font color="Maroon">M</font> <a href="funct_1.html#NK3" target="_self">*</a> <font color="Maroon">e</font></span>)</span>
<b>by </b><i><a class="ref" href="pboole.html#T34" target="_self">Th34</a></i>
<br/>.= 
<font color="Maroon">N2</font> <a href="funct_1.html#K1">.</a> <font color="Maroon">i</font>
<b>by </b><i><a class="ref" href="pboole.html#T35" target="_self">Th35</a></i>
;<br/></div><b>end;</b></div>
<b>hence </b><a NAME="E4:157_1_2"/>
<font color="Maroon">N1</font> <a href="hidden.html#R1">=</a> <font color="Maroon">N2</font>
 <b>by </b><i/>;<br/>


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