<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T43"><span class="comment"><font color="firebrick">:: FUZZY_1:43</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">C</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">f</font>, <font color="Olive" title="b3">h</font>, <font color="Olive" title="b4">g</font> being   <a href="fuzzy_1.html#NM1" title="FUZZY_1:NM.1">Membership_Func</a> of <font color="Olive" title="b1">C</font> holds   <a href="fuzzy_1.html#K1" title="FUZZY_1:func.1">min</a> (<span class="p1">(<span class="default"><a href="fuzzy_1.html#K1" title="FUZZY_1:func.1">min</a> (<span class="p2">(<span class="default"><a href="fuzzy_1.html#K2" title="FUZZY_1:func.2">max</a> (<font color="Olive" title="b2">f</font>,<font color="Olive" title="b4">g</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="fuzzy_1.html#K2" title="FUZZY_1:func.2">max</a> (<font color="Olive" title="b4">g</font>,<font color="Olive" title="b3">h</font>)</span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="fuzzy_1.html#K2" title="FUZZY_1:func.2">max</a> (<font color="Olive" title="b3">h</font>,<font color="Olive" title="b2">f</font>)</span>)</span>) <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a>  <a href="fuzzy_1.html#K2" title="FUZZY_1:func.2">max</a> (<span class="p1">(<span class="default"><a href="fuzzy_1.html#K2" title="FUZZY_1:func.2">max</a> (<span class="p2">(<span class="default"><a href="fuzzy_1.html#K1" title="FUZZY_1:func.1">min</a> (<font color="Olive" title="b2">f</font>,<font color="Olive" title="b4">g</font>)</span>)</span>,<span class="p2">(<span class="default"><a href="fuzzy_1.html#K1" title="FUZZY_1:func.1">min</a> (<font color="Olive" title="b4">g</font>,<font color="Olive" title="b3">h</font>)</span>)</span>)</span>)</span>,<span class="p1">(<span class="default"><a href="fuzzy_1.html#K1" title="FUZZY_1:func.1">min</a> (<font color="Olive" title="b3">h</font>,<font color="Olive" title="b2">f</font>)</span>)</span>)</div></div>
