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<b>consider </b><font color="Maroon" title="c1">X</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">set</a> ;<br/>
<b>take </b><font color="Maroon" title="c2">V</font> =  <a href="classes1.html#K1" title="CLASSES1:func.1">Tarski-Class</a> <span class="p1">(<span class="default"><a href="classes1.html#K5" title="CLASSES1:func.5">the_transitive-closure_of</a> <font color="Maroon" title="c1">X</font></span>)</span>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">V</font> is <a href="classes2.html#V1" title="CLASSES2:attr.1">universal</a> &amp; not <font color="Maroon" title="c2">V</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> )</span><br/>

<b>thus </b><a NAME="E2:40_1_1"/>
<font color="Maroon" title="c2">V</font> is <a href="ordinal1.html#V1" title="ORDINAL1:attr.1">epsilon-transitive</a>
 <b>by </b><i><a class="ref" href="classes1.html#T27" title="CLASSES1:th.27">CLASSES1:27</a>, <a class="ref" href="classes1.html#T58" title="CLASSES1:th.58">CLASSES1:58</a></i>; <i><font color="Red">:: according to </font></i><a class="ref" href="classes2.html#D1" target="_self" title="CLASSES2:def.1">CLASSES2:def 1</a> <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c2">V</font> is <a href="classes1.html#V2" title="CLASSES1:attr.2">Tarski</a> &amp; not <font color="Maroon" title="c2">V</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> )</span><br/>

<b>thus </b><a NAME="E3:40_1_1"/>
( <font color="Maroon" title="c2">V</font> is <a href="classes1.html#V2" title="CLASSES1:attr.2">Tarski</a> &amp; not <font color="Maroon" title="c2">V</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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