<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="partit1.html#K2" title="PARTIT1:func.2">'/\'</a> <a onclick="hs(this)" href="javascript:()">PARTIT1:def 4 : <br/></a><span> 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">PA</font>, <font color="Olive" title="b3">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> holds  <font color="Olive" title="b2">PA</font> <a href="partit1.html#K2" title="PARTIT1:func.2">'/\'</a> <font color="Olive" title="b3">PB</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="setfam_1.html#K3" title="SETFAM_1:func.3">INTERSECTION</a> (<font color="Olive" title="b2">PA</font>,<font color="Olive" title="b3">PB</font>)</span>)</span> <a href="subset_1.html#K6" title="SUBSET_1:func.6">\</a> <span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>;<br/></span></div>
