<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E24">Def9</font></span>   defines <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <a onclick="hs(this)" href="javascript:()">ABCMIZ_A:def 9 : <br/></a><span> for <font color="Olive" title="b1">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="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</a> <br/>  for <font color="Olive" title="b2">X</font> being  <a href="relat_1.html#V3" title="RELAT_1:attr.3">V6</a>() <a href="pboole.html#NM1" title="PBOOLE:NM.1">ManySortedSet</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">e</font> being   <a href="msafree3.html#NM1" title="MSAFREE3:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="msafree3.html#K1" title="MSAFREE3:func.1">Free</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">X</font>)</span>)</span> holds <br/> ( ( <font color="Olive" title="b3">e</font> is  <a href="abcmiz_1.html#V5" title="ABCMIZ_1:attr.5">compound</a>  implies  <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <font color="Olive" title="b3">e</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">e</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a></span>)</span> <a href="xfamily.html#K1" title="XFAMILY:func.1">`1</a>  ) &amp; (  not <font color="Olive" title="b3">e</font> is  <a href="abcmiz_1.html#V5" title="ABCMIZ_1:attr.5">compound</a>  implies  <a href="abcmiz_a.html#K10" title="ABCMIZ_A:func.10">main-constr</a> <font color="Olive" title="b3">e</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  ) );<br/></span></div>
