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<b>take </b><font color="Maroon" title="c1">Y</font> = <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><span class="p2"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="card_1.html#NK1" title="CARD_1:NK.1">0</a> </span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><i><font color="Red">::  thesis: </font></i></a><span class="hide"> ( <font color="Maroon" title="c1">Y</font> is <a href="taxonom2.html#V4" title="TAXONOM2:attr.4">mutually-disjoint</a> &amp; not <font color="Maroon" title="c1">Y</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> &amp; <font color="Maroon" title="c1">Y</font> is <a href="setfam_1.html#V1" title="SETFAM_1:attr.1">with_non-empty_elements</a> )</span><br/>

<b>thus </b><a NAME="E1:23_1_1"/>
( <font color="Maroon" title="c1">Y</font> is <a href="taxonom2.html#V4" title="TAXONOM2:attr.4">mutually-disjoint</a> &amp; not <font color="Maroon" title="c1">Y</font> is <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> &amp; <font color="Maroon" title="c1">Y</font> is <a href="setfam_1.html#V1" title="SETFAM_1:attr.1">with_non-empty_elements</a> )
 <b>by </b><i><a class="ref" href="taxonom2.html#T10" title="TAXONOM2:th.10">TAXONOM2:10</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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