<?xml version="1.0"?>
<div class="add">

<b>consider </b><font color="Maroon" title="c2">D</font> being  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="armstrng.html#NV4" title="ARMSTRNG:NV.4">(F2)</a> <a href="armstrng.html#V3" title="ARMSTRNG:attr.3">(F1)</a> <a href="armstrng.html#V4" title="ARMSTRNG:attr.4">(F3)</a> <a href="armstrng.html#V5" title="ARMSTRNG:attr.5">(F4)</a> <a href="armstrng.html#NM2" title="ARMSTRNG:NM.2">Dependency-set</a> of <font color="Maroon" title="c1">X</font>;<br/>
<b>reconsider </b><font color="Maroon" title="c3">D</font> = <font color="Maroon" title="c2">D</font> as   <a href="armstrng.html#NM5" title="ARMSTRNG:NM.5">Full-family</a> of <font color="Maroon" title="c1">X</font> <b>by </b><i><a class="ref" href="armstrng.html#D15" target="_self" title="ARMSTRNG:def.15">Def15</a></i>;<br/>
<b>take </b>
<font color="Maroon" title="c3">D</font>
; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> <font color="Maroon" title="c3">D</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a></span><br/>

<b>thus </b><a NAME="E3:56_1_1"/>
<font color="Maroon" title="c3">D</font> is <a href="finset_1.html#V1" title="FINSET_1:attr.1">finite</a>
 ; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> verum</span><br/>


</div>
