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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: PARTIT1:19</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Y</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">x</font>, <font color="Olive" title="b3">z0</font>, <font color="Olive" title="b4">t</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b5">PA</font>, <font color="Olive" title="b6">PB</font> being    <a href="eqrel_1.html#M1" title="EQREL_1:mode.1">a_partition</a> of <font color="Olive" title="b1">Y</font>  st <font color="Olive" title="b2">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">PA</font> <a href="partit1.html#K3" title="PARTIT1:func.3">'\/'</a> <font color="Olive" title="b6">PB</font> &amp; <font color="Olive" title="b3">z0</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b5">PA</font> &amp; <font color="Olive" title="b4">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">x</font> &amp; <font color="Olive" title="b4">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b3">z0</font> holds <br/><font color="Olive" title="b3">z0</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b2">x</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="partit1.html#T16" target="_self" onmouseover="rs('partit1/T16')" onmouseout="rh()">Th16</a>, <a class="ref" href="partit1.html#T18" target="_self" onmouseover="rs('partit1/T18')" onmouseout="rh()">Th18</a></span>;<br/></div></div>
