<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E25">Def7</font></span>   defines <a href="poset_1.html#K5" title="POSET_1:func.5">ConRelat</a> <a onclick="hs(this)" href="javascript:()">POSET_1:def 7 : <br/></a><span> for <font color="Olive" title="b1">P</font>, <font color="Olive" title="b2">Q</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="orders_2.html#V1" title="ORDERS_2:attr.1">strict</a>   <a href="poset_1.html#V1" title="POSET_1:attr.1">chain-complete</a>  <a href="orders_2.html#NM1" title="ORDERS_2:NM.1">Poset</a><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="relset_1.html#NM2" title="RELSET_1:NM.2">Relation</a> of <span class="p1">(<span class="default"><a href="poset_1.html#K4" title="POSET_1:func.4">ConFuncs</a> (<font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">Q</font>)</span>)</span> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="poset_1.html#K5" title="POSET_1:func.5">ConRelat</a> (<font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">Q</font>) iff  for <font color="Olive" title="b4">x</font>, <font color="Olive" title="b5">y</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds <br/> ( <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b4">x</font>,<font color="Olive" title="b5">y</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive">b<sub>3</sub></font> iff ( <font color="Olive" title="b4">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="poset_1.html#K4" title="POSET_1:func.4">ConFuncs</a> (<font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">Q</font>) &amp; <font color="Olive" title="b5">y</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="poset_1.html#K4" title="POSET_1:func.4">ConFuncs</a> (<font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">Q</font>) &amp;  ex <font color="Olive" title="b6">f</font>, <font color="Olive" title="b7">g</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">Q</font> st <br/>( <font color="Olive" title="b4">x</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">f</font> &amp; <font color="Olive" title="b5">y</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">g</font> &amp; <font color="Olive" title="b6">f</font> <a href="yellow_2.html#R1" title="YELLOW_2:pred.1">&lt;=</a> <font color="Olive" title="b7">g</font> ) ) ) );<br/></span></div>
