<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E7">Th8</font></span>: <a NAME="T8"><span class="comment"><font color="firebrick">:: KNASTER:8</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">f</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">X</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">X</font></span>)</span><br/>  for <font color="Olive" title="b3">S</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <font color="Olive" title="b1">X</font>  st <font color="Olive" title="b3">S</font> <a href="abian.html#R2" title="ABIAN:pred.2">is_a_fixpoint_of</a> <font color="Olive" title="b2">f</font> holds <br/>(  <a href="knaster.html#K1" title="KNASTER:func.1">lfp</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">f</font>) <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b3">S</font> &amp; <font color="Olive" title="b3">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a>  <a href="knaster.html#K2" title="KNASTER:func.2">gfp</a> (<font color="Olive" title="b1">X</font>,<font color="Olive" title="b2">f</font>) ) <span class="kw">by</span> <span class="lab"><a class="ref" href="knaster.html#T6" target="_self" onmouseover="rs('knaster/T6')" onmouseout="rh()">Th6</a>, <a class="ref" href="knaster.html#T7" target="_self" onmouseover="rs('knaster/T7')" onmouseout="rh()">Th7</a></span>;<br/></div></div>
