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<span class="kw">take </span>
<font color="Maroon" title="c1">X</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">X</font> is    <a href="bcialg_1.html#M1" title="BCIALG_1:mode.1">SubAlgebra</a> of <font color="Maroon" title="c1">X</font> &amp; not <font color="Maroon" title="c1">X</font> is  <a href="bcialg_1.html#V9" title="BCIALG_1:attr.9">proper</a>  )</span><br/>

<a NAME="E1:41_1_1"/>
<font color="Maroon" title="c1">X</font> is    <a href="bcialg_1.html#M1" title="BCIALG_1:mode.1">SubAlgebra</a> of <font color="Maroon" title="c1">X</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="bcialg_1.html#T22" target="_self" title="BCIALG_1:th.22">Th22</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:41_1_1"/>
( <font color="Maroon" title="c1">X</font> is    <a href="bcialg_1.html#M1" title="BCIALG_1:mode.1">SubAlgebra</a> of <font color="Maroon" title="c1">X</font> &amp; not <font color="Maroon" title="c1">X</font> is  <a href="bcialg_1.html#V9" title="BCIALG_1:attr.9">proper</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="bcialg_1.html#D13" target="_self" title="BCIALG_1:def.13">Def13</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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