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<b>consider </b><font color="Maroon" title="c3">x</font> being  <a href="msualg_1.html#V3" title="MSUALG_1:attr.3">strict</a> <a href="osalg_2.html#NM3" title="OSALG_2:NM.3">OSSubAlgebra</a> of <font color="Maroon" title="c2">U0</font>;<br/>
<a NAME="E2:71_1_1"/>
<font color="Maroon" title="c3">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="osalg_2.html#K12" title="OSALG_2:func.12">OSSub</a> <font color="Maroon" title="c2">U0</font>
 
<b>by </b><i><a class="ref" href="osalg_2.html#D15" target="_self" title="OSALG_2:def.15">Def15</a></i>;<br/>
<b>hence </b><a NAME="E3:71_1_1"/>
not  <a href="osalg_2.html#K12" title="OSALG_2:func.12">OSSub</a> <font color="Maroon" title="c2">U0</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


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