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<b>let </b><font color="Maroon">c<sub>1</sub></font> be  non <a href="struct_0.html#V3">empty</a>  <a href="group_1.html#L1">HGrStr</a> ;<br/><b>let </b><font color="Maroon">c<sub>2</sub></font> be  non <a href="struct_0.html#V3">empty</a>  <a href="polyalg1.html#L1" target="_self">AlgebraStr</a> of <font color="Maroon">c<sub>1</sub></font>;<br/><b>let </b><font color="Maroon">c<sub>3</sub></font> be  non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">c<sub>2</sub></font>;<br/>





<b>assume </b><a NAME="E1:47"/><i><font color="Green">E26</font></i>: 
<font color="Maroon">c<sub>3</sub></font> is <a href="polyalg1.html#V3" target="_self">opers_closed</a>
 ;<br/>

<a NAME="E2:47"/><i><font color="Green">E27</font></i>: 
<font color="Maroon">c<sub>3</sub></font> <a href="tarski.html#R1">c=</a> the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="polyalg1.html#K2" target="_self">GenAlg</a> <font color="Maroon">c<sub>3</sub></font></span>)</span>
 
<b>by </b><i><a class="ref" href="polyalg1.html#D5" target="_self">Def5</a></i>;<br/>
<b>consider </b><font color="Maroon">c<sub>4</sub></font> being  <a href="polyalg1.html#V1" target="_self">strict</a>  <a href="polyalg1.html#M1" target="_self">Subalgebra</a> of <font color="Maroon">c<sub>2</sub></font><b> such that </b><br/><a NAME="E4:47"/><i><font color="Green">E28</font></i>: 
the <a href="struct_0.html#U1">carrier</a> of <font color="Maroon">c<sub>4</sub></font> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="polyalg1.html#E1:47"><i><font color="Green">E26</font></i></a>, <a class="ref" href="polyalg1.html#T20" target="_self">Th20</a></i>;<br/>
<a NAME="E5:47"/>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="polyalg1.html#K2" target="_self">GenAlg</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="tarski.html#R1">c=</a> <font color="Maroon">c<sub>3</sub></font>
 
<b>by </b><i><a class="txt" href="polyalg1.html#E4:47"><i><font color="Green">E28</font></i></a>, <a class="ref" href="polyalg1.html#D5" target="_self">Def5</a></i>;<br/>
<b>hence </b><a NAME="E6:47"/>
the <a href="struct_0.html#U1">carrier</a> of <span class="p1">(<span class="default"><a href="polyalg1.html#K2" target="_self">GenAlg</a> <font color="Maroon">c<sub>3</sub></font></span>)</span> <a href="hidden.html#R1">=</a> <font color="Maroon">c<sub>3</sub></font>
 <b>by </b><i><a class="txt" href="polyalg1.html#E2:47"><i><font color="Green">E27</font></i></a>, <a class="ref" href="xboole_0.html#D10">XBOOLE_0:def 10</a></i>;<br/>


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