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<b>take </b>
 <a href="armstrng.html#K4" title="ARMSTRNG:func.4">Dependencies</a> <font color="Maroon" title="c1">X</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> (  <a href="armstrng.html#K4" title="ARMSTRNG:func.4">Dependencies</a> <font color="Maroon" title="c1">X</font> is <a href="armstrng.html#V3" title="ARMSTRNG:attr.3">(F1)</a> &amp;  <a href="armstrng.html#K4" title="ARMSTRNG:func.4">Dependencies</a> <font color="Maroon" title="c1">X</font> is <a href="relat_2.html#V8" title="RELAT_2:attr.8">(F2)</a> &amp;  <a href="armstrng.html#K4" title="ARMSTRNG:func.4">Dependencies</a> <font color="Maroon" title="c1">X</font> is <a href="armstrng.html#V4" title="ARMSTRNG:attr.4">(F3)</a> &amp;  <a href="armstrng.html#K4" title="ARMSTRNG:func.4">Dependencies</a> <font color="Maroon" title="c1">X</font> is <a href="armstrng.html#V5" title="ARMSTRNG:attr.5">(F4)</a> &amp;  <a href="armstrng.html#K4" title="ARMSTRNG:func.4">Dependencies</a> <font color="Maroon" title="c1">X</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">(C1)</a> )</span><br/>

<b>thus </b><a NAME="E1:52_1_1"/>
(  <a href="armstrng.html#K4" title="ARMSTRNG:func.4">Dependencies</a> <font color="Maroon" title="c1">X</font> is <a href="armstrng.html#V3" title="ARMSTRNG:attr.3">(F1)</a> &amp;  <a href="armstrng.html#K4" title="ARMSTRNG:func.4">Dependencies</a> <font color="Maroon" title="c1">X</font> is <a href="relat_2.html#V8" title="RELAT_2:attr.8">(F2)</a> &amp;  <a href="armstrng.html#K4" title="ARMSTRNG:func.4">Dependencies</a> <font color="Maroon" title="c1">X</font> is <a href="armstrng.html#V4" title="ARMSTRNG:attr.4">(F3)</a> &amp;  <a href="armstrng.html#K4" title="ARMSTRNG:func.4">Dependencies</a> <font color="Maroon" title="c1">X</font> is <a href="armstrng.html#V5" title="ARMSTRNG:attr.5">(F4)</a> &amp;  <a href="armstrng.html#K4" title="ARMSTRNG:func.4">Dependencies</a> <font color="Maroon" title="c1">X</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">(C1)</a> )
 <b>by </b><i><a class="ref" href="armstrng.html#T21" target="_self" title="ARMSTRNG:th.21">Th21</a></i>; <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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