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<span class="kw">let </span><font color="Maroon" title="c3">P</font> be    <a href="simplex1.html#M1" title="SIMPLEX1:mode.1">SubdivisionStr</a> of <font color="Maroon" title="c2">Kr</font>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> not <font color="Maroon" title="c3">P</font> is  <a href="simplex0.html#V4" title="SIMPLEX0:attr.4">empty-membered</a> </span><br/>

<a NAME="E1:16_1_1"/>
( not <span class="p1"><a href="simplex1.html#K3" title="SIMPLEX1:func.3">|.</a><span class="default"><font color="Maroon" title="c2">Kr</font></span><a href="simplex1.html#K3" title="SIMPLEX1:func.3">.|</a></span> is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp; <span class="p1"><a href="simplex1.html#K3" title="SIMPLEX1:func.3">|.</a><span class="default"><font color="Maroon" title="c2">Kr</font></span><a href="simplex1.html#K3" title="SIMPLEX1:func.3">.|</a></span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="simplex1.html#K3" title="SIMPLEX1:func.3">|.</a><span class="default"><font color="Maroon" title="c3">P</font></span><a href="simplex1.html#K3" title="SIMPLEX1:func.3">.|</a></span> )
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="simplex1.html#T7" target="_self" title="SIMPLEX1:th.7">Th7</a>, <a class="ref" href="simplex1.html#T10" target="_self" title="SIMPLEX1:th.10">Th10</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:16_1_1"/>
not <font color="Maroon" title="c3">P</font> is  <a href="simplex0.html#V4" title="SIMPLEX0:attr.4">empty-membered</a> 
 <span class="kw">by</span> <span class="lab"><a class="ref" href="simplex1.html#T7" target="_self" title="SIMPLEX1:th.7">Th7</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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