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<div><span class="kw">theorem </span><a NAME="T47"><span class="comment"><font color="firebrick">:: KNASTER:47</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</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> being   <a href="quantal1.html#V14" title="QUANTAL1:attr.14">monotone</a>  <a href="struct_0.html#NM14" title="STRUCT_0:NM.14">UnOp</a> of <span class="p1">(<span class="default"><a href="lattice3.html#K1" title="LATTICE3:func.1">BooleLatt</a> <font color="Olive" title="b1">A</font></span>)</span>  ex <font color="Olive" title="b3">g</font> being  <a href="cohsp_1.html#V6" title="COHSP_1:attr.6">V224</a>() <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a> <font color="Olive" title="b1">A</font></span>)</span>,<span class="p1">(<span class="default"><a href="setfam_1.html#K9" title="SETFAM_1:func.9">bool</a> <font color="Olive" title="b1">A</font></span>)</span> st  <a href="knaster.html#K1" title="KNASTER:func.1">lfp</a> (<font color="Olive" title="b1">A</font>,<font color="Olive" title="b3">g</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="knaster.html#K9" title="KNASTER:func.9">lfp</a> <font color="Olive" title="b2">f</font></div></div>
