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<b>let </b><font color="Maroon">n1</font> be   <a href="struct_0.html#NM6">Function</a> of <span class="p1">(<span class="default"><font color="Maroon">A</font> <a href="pencil_1.html#K2">.</a> <font color="Maroon">i</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">A</font> <a href="pencil_1.html#K2">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pencil_3.html#K2" target="_self">permutation_of_indices</a> <font color="Maroon">f</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">i</font></span>)</span></span>)</span>, <font color="Maroon">n2</font> be   <a href="struct_0.html#NM6">Function</a> of <span class="p1">(<span class="default"><font color="Maroon">A</font> <a href="pencil_1.html#K2">.</a> <font color="Maroon">i</font></span>)</span>,<span class="p1">(<span class="default"><font color="Maroon">A</font> <a href="pencil_1.html#K2">.</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="pencil_3.html#K2" target="_self">permutation_of_indices</a> <font color="Maroon">f</font></span>)</span> <a href="funct_2.html#K3">.</a> <font color="Maroon">i</font></span>)</span></span>)</span>;<br/>

<b>assume </b><b>that </b><br/><a NAME="E1:32_1_2"/><i><font color="Green">E47</font></i>: 
for <font color="Olive">b</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>  st  <a href="card_3.html#K4">product</a> <font color="Olive">b</font> is    <a href="pencil_2.html#M1">Segre-Coset</a> of <font color="Maroon">A</font> &amp;  <a href="pencil_1.html#K3">indx</a> <font color="Olive">b</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i</font> holds <br/><font color="Maroon">n1</font> <a href="funct_2.html#R1">=</a>  <a href="pencil_3.html#K3" target="_self">canonical_embedding</a> <font color="Maroon">f</font>,<font color="Olive">b</font>
 <b>and </b><br/><a NAME="E2:32_1_2"/><i><font color="Green">E48</font></i>: 
for <font color="Olive">b</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>  st  <a href="card_3.html#K4">product</a> <font color="Olive">b</font> is    <a href="pencil_2.html#M1">Segre-Coset</a> of <font color="Maroon">A</font> &amp;  <a href="pencil_1.html#K3">indx</a> <font color="Olive">b</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i</font> holds <br/><font color="Maroon">n2</font> <a href="funct_2.html#R1">=</a>  <a href="pencil_3.html#K3" target="_self">canonical_embedding</a> <font color="Maroon">f</font>,<font color="Olive">b</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="E4:32_1_2"/><i><font color="Green">E49</font></i>: 
(  <a href="pencil_1.html#K3">indx</a> <font color="Maroon">L</font> <a href="hidden.html#R1">=</a> <font color="Maroon">i</font> &amp;  <a href="card_3.html#K4">product</a> <font color="Maroon">L</font> is    <a href="pencil_2.html#M1">Segre-Coset</a> of <font color="Maroon">A</font> )
 <b>by </b><i/>;<br/>
<b>thus </b><font color="Maroon">n1</font> = 
 <a href="pencil_3.html#K3" target="_self">canonical_embedding</a> <font color="Maroon">f</font>,<font color="Maroon">L</font>
<b>by </b><i>, </i>
<br/>.= 
<font color="Maroon">n2</font>
<b>by </b><i>, </i>
;<br/>


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