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<span class="kw">set </span><font color="Maroon" title="c3">U</font> =  <a href="polnot_1.html#K7" title="POLNOT_1:func.7">Polish-atoms</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>);<br/>
<span class="kw">consider </span><font color="Maroon" title="c4">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a> <span class="kw"> such that </span><br/><a NAME="E2:106_1_1"/><span class="lab"><font color="Green" title="E67">A4</font></span>: 
( <font color="Maroon" title="c4">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Maroon" title="c1">T</font> &amp; <font color="Maroon" title="c2">A</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Maroon" title="c4">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>  )
 <span class="kw">by</span> <span class="lab"><a class="ref" href="polnot_1.html#D18" target="_self" onmouseover="rs('polnot_1/D18')" onmouseout="rh()">Def18</a></span>;<br/>
<a NAME="E3:106_1_1"/>
(  not  <a href="polnot_1.html#K7" title="POLNOT_1:func.7">Polish-atoms</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>) is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  <a href="polnot_1.html#K7" title="POLNOT_1:func.7">Polish-atoms</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Maroon" title="c1">T</font> )
 
<span class="kw">by</span> <span class="lab"><a class="txt" href="#E2:106_1_1"><span class="lab"><font color="Green" title="E67">A4</font></span></a>, <a class="ref" href="polnot_1.html#D7" target="_self" onmouseover="rs('polnot_1/D7')" onmouseout="rh()">Def7</a></span>;<br/>
<span class="kw">hence </span><a NAME="E4:106_1_1"/>
(  not  <a href="polnot_1.html#K7" title="POLNOT_1:func.7">Polish-atoms</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>) is  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>  &amp;  <a href="polnot_1.html#K7" title="POLNOT_1:func.7">Polish-atoms</a> (<font color="Maroon" title="c1">T</font>,<font color="Maroon" title="c2">A</font>) is  <a href="polnot_1.html#V3" title="POLNOT_1:attr.3">antichain-like</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"> verum</span><br/>


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