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<b>let </b><font color="Maroon">I</font> be  non <a href="xboole_0.html#V1">empty</a>  <a href="hidden.html#M1">set</a> ;<br/><b>let </b><font color="Maroon">A</font> be  <a href="pencil_1.html#V11">TopStruct-yielding</a> <a href="pencil_1.html#V14">non-Trivial-yielding</a>  <a href="pboole.html#M1">ManySortedSet</a> of <font color="Maroon">I</font>;<br/><b>let </b><font color="Maroon">b</font> be  non <a href="pencil_1.html#V13">trivial-yielding</a> <a href="pencil_1.html#V16">Segre-like</a>  <a href="pboole.html#M4">ManySortedSubset</a> of  <a href="pralg_1.html#K12">Carrier</a> <font color="Maroon">A</font>;<br/>





<b>assume </b><a NAME="E1:10"/><i><font color="Green">E34</font></i>: 
 <a href="card_3.html#K4">product</a> <font color="Maroon">b</font> is    <a href="pencil_2.html#M1">Segre-Coset</a> of <font color="Maroon">A</font>
 ;<br/>

<b>consider </b><font color="Maroon">L</font> being  non <a href="pencil_1.html#V13">trivial-yielding</a> <a href="pencil_1.html#V16">Segre-like</a>  <a href="pboole.html#M4">ManySortedSubset</a> of  <a href="pralg_1.html#K12">Carrier</a> <font color="Maroon">A</font><b> such that </b><br/><a NAME="E3:10"/><i><font color="Green">E35</font></i>: 
(  <a href="card_3.html#K4">product</a> <font color="Maroon">b</font> <a href="hidden.html#R1">=</a>  <a href="card_3.html#K4">product</a> <font color="Maroon">L</font> &amp; <font color="Maroon">L</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="pencil_1.html#K3">indx</a> <font color="Maroon">L</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K2">[#]</a> <span class="p1">(<span class="default"><font color="Maroon">A</font> <a href="pencil_1.html#K1">.</a> <span class="p2">(<span class="default"><a href="pencil_1.html#K3">indx</a> <font color="Maroon">L</font></span>)</span></span>)</span> )
 <b>by </b><i>, <a class="ref" href="pencil_2.html#D2">PENCIL_2:def 2</a></i>;<br/>
<a NAME="E4:10"/>
<font color="Maroon">b</font> <a href="pboole.html#R6">=</a> <font color="Maroon">L</font>
 
<b>by </b><i>, <a class="ref" href="pua2mss1.html#T2">PUA2MSS1:2</a></i>;<br/>
<b>hence </b><a NAME="E5:10"/>
<font color="Maroon">b</font> <a href="funct_1.html#K1">.</a> <span class="p1">(<span class="default"><a href="pencil_1.html#K3">indx</a> <font color="Maroon">b</font></span>)</span> <a href="hidden.html#R1">=</a>  <a href="pre_topc.html#K2">[#]</a> <span class="p1">(<span class="default"><font color="Maroon">A</font> <a href="pencil_1.html#K1">.</a> <span class="p2">(<span class="default"><a href="pencil_1.html#K3">indx</a> <font color="Maroon">b</font></span>)</span></span>)</span>
 <b>by </b><i/>;<br/>


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