<?xml version="1.0"?>
<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E65">Th64</font></span>: <a NAME="T69"><span class="comment"><font color="firebrick">:: AOFA_A00:69</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">s</font>, <font color="Olive" title="b2">I</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">S</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V11" title="STRUCT_0:attr.11">void</a>   <a href="aofa_a00.html#V16" title="AOFA_A00:attr.16">bool-correct</a>   <a href="aofa_a00.html#L6" title="AOFA_A00:struct.6">BoolSignature</a>   st <font color="Olive" title="b3">S</font> is 4,<font color="Olive" title="b2">I</font> <a href="aofa_a00.html#V18" title="AOFA_A00:attr.18">integer</a>  holds <br/> for <font color="Olive" title="b4">X</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>   st <font color="Olive" title="b1">s</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b3">S</font> &amp; <font color="Olive" title="b1">s</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">I</font> &amp; <font color="Olive" title="b1">s</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  the <a href="aofa_a00.html#U8" title="AOFA_A00:sel.8">bool-sort</a> of <font color="Olive" title="b3">S</font> holds <br/> ex <font color="Olive" title="b5">A</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>   <a href="aofa_a00.html#V17" title="AOFA_A00:attr.17">bool-correct</a>   <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b3">S</font> st <br/>( <font color="Olive" title="b5">A</font> is 4,<font color="Olive" title="b2">I</font> <a href="aofa_a00.html#V20" title="AOFA_A00:attr.20">integer</a>  &amp;  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b5">A</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b1">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">X</font> )</div></div>
