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<b>let </b><font color="Maroon" title="c1">L</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a>  <a href="group_1.html#L1" title="GROUP_1:struct.1">HGrStr</a> ;<br/><b>let </b><font color="Maroon" title="c2">B</font> be  non <a href="struct_0.html#V3" title="STRUCT_0:attr.3">empty</a>  <a href="polyalg1.html#L1" title="POLYALG1:struct.1">AlgebraStr</a> of <font color="Maroon" title="c1">L</font>;<br/><b>let </b><font color="Maroon" title="c3">A</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Maroon" title="c2">B</font>;<br/>





<b>assume </b><a NAME="E1:47"/><i><font color="Green" title="E26">A1</font></i>: 
<font color="Maroon" title="c3">A</font> is <a href="polyalg1.html#V3" title="POLYALG1:attr.3">opers_closed</a>
 ;<br/>

<a NAME="E2:47"/><i><font color="Green" title="E27">A2</font></i>: 
<font color="Maroon" title="c3">A</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polyalg1.html#K2" title="POLYALG1:func.2">GenAlg</a> <font color="Maroon" title="c3">A</font></span>)</span>
 
<b>by </b><i><a class="ref" href="polyalg1.html#D5" target="_self" title="POLYALG1:def.5">Def5</a></i>;<br/>
<b>consider </b><font color="Maroon" title="c4">C</font> being  <a href="polyalg1.html#V1" title="POLYALG1:attr.1">strict</a>  <a href="polyalg1.html#M1" title="POLYALG1:mode.1">Subalgebra</a> of <font color="Maroon" title="c2">B</font><b> such that </b><br/><a NAME="E4:47"/><i><font color="Green" title="E28">A3</font></i>: 
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Maroon" title="c4">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">A</font>
 <b>by </b><i><a class="txt" href="polyalg1.html#E1:47"><i><font color="Green" title="E26">A1</font></i></a>, <a class="ref" href="polyalg1.html#T20" target="_self" title="POLYALG1:th.20">Th20</a></i>;<br/>
<a NAME="E5:47"/>
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polyalg1.html#K2" title="POLYALG1:func.2">GenAlg</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c3">A</font>
 
<b>by </b><i><a class="txt" href="polyalg1.html#E4:47"><i><font color="Green" title="E28">A3</font></i></a>, <a class="ref" href="polyalg1.html#D5" target="_self" title="POLYALG1:def.5">Def5</a></i>;<br/>
<b>hence </b><a NAME="E6:47"/>
the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <span class="p1">(<span class="default"><a href="polyalg1.html#K2" title="POLYALG1:func.2">GenAlg</a> <font color="Maroon" title="c3">A</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Maroon" title="c3">A</font>
 <b>by </b><i><a class="txt" href="polyalg1.html#E2:47"><i><font color="Green" title="E27">A2</font></i></a>, <a class="ref" href="xboole_0.html#D10" title="XBOOLE_0:def.10">XBOOLE_0:def 10</a></i>;<br/>


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