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<b>let </b><font color="Maroon">L</font> be  non <a href="struct_0.html#V3">empty</a>  <a href="vectsp_1.html#L3">doubleLoopStr</a> ;<br/><b>let </b><font color="Maroon">A</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">L</font>, <font color="Maroon">B</font> be  non <a href="xboole_0.html#V1">empty</a> <a href="struct_0.html#NM2">Subset</a> of <font color="Maroon">L</font>;<br/>



<b>assume </b><a NAME="E1:88"/><i><font color="Green">E41</font></i>: 
<font color="Maroon">A</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">B</font>
 ;<br/>

<a NAME="E2:88"/>
<font color="Maroon">B</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">B</font> <a href="ideal_1.html#K9" target="_self">-RightIdeal</a> 
 
<b>by </b><i><a class="ref" href="ideal_1.html#D2" target="_self">Def2</a></i>;<br/>
<a NAME="E3:88"/><b>then </b>
<font color="Maroon">A</font> <a href="tarski.html#R1">c=</a> <font color="Maroon">B</font> <a href="ideal_1.html#K9" target="_self">-RightIdeal</a> 
 
<b>by </b><i>, <a class="ref" href="xboole_1.html#T1">XBOOLE_1:1</a></i>;<br/>
<b>hence </b><a NAME="E4:88"/>
<font color="Maroon">A</font> <a href="ideal_1.html#K9" target="_self">-RightIdeal</a>  <a href="tarski.html#R1">c=</a> <font color="Maroon">B</font> <a href="ideal_1.html#K9" target="_self">-RightIdeal</a> 
 <b>by </b><i><a class="ref" href="ideal_1.html#D2" target="_self">Def2</a></i>;<br/>


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