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<span class="kw">let </span><font color="Maroon" title="c1">X</font> be    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> ( <font color="Maroon" title="c1">X</font> is  <a href="ordinal1.html#V1" title="ORDINAL1:attr.1">epsilon-transitive</a>  &amp; <font color="Maroon" title="c1">X</font> is  <a href="classes3.html#V1" title="CLASSES3:attr.1">power-closed</a>  &amp; <font color="Maroon" title="c1">X</font> is  <a href="classes3.html#V3" title="CLASSES3:attr.3">FamUnion-closed</a>  implies <font color="Maroon" title="c1">X</font> is  <a href="classes2.html#V1" title="CLASSES2:attr.1">universal</a>  )</span><br/>

<span class="kw">assume </span><a NAME="E1:30_1_1"/><span class="lab"><font color="Green" title="E14">A1</font></span>: 
( <font color="Maroon" title="c1">X</font> is  <a href="ordinal1.html#V1" title="ORDINAL1:attr.1">epsilon-transitive</a>  &amp; <font color="Maroon" title="c1">X</font> is  <a href="classes3.html#V1" title="CLASSES3:attr.1">power-closed</a>  &amp; <font color="Maroon" title="c1">X</font> is  <a href="classes3.html#V3" title="CLASSES3:attr.3">FamUnion-closed</a>  )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> <font color="Maroon" title="c1">X</font> is  <a href="classes2.html#V1" title="CLASSES2:attr.1">universal</a> </span><br/>

<a NAME="E2:30_1_1"/><span class="kw">then </span>
<font color="Maroon" title="c1">X</font> is  <a href="classes1.html#V2" title="CLASSES1:attr.2">Tarski</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="classes3.html#T17" target="_self" onmouseover="rs('classes3/T17')" onmouseout="rh()">Th17</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:30_1_1"/>
<font color="Maroon" title="c1">X</font> is  <a href="classes2.html#V1" title="CLASSES2:attr.1">universal</a> 
 <span class="kw">by</span> <span class="lab"><a class="txt" href="#E1:30_1_1"><span class="lab"><font color="Green" title="E14">A1</font></span></a></span>; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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