<?xml version="1.0"?>
<div>:: <span class="kw">deftheorem </span>   defines <a href="aofa_l00.html#V13" title="AOFA_L00:attr.13">subst-correct2</a> <a onclick="hs(this)" href="javascript:()">AOFA_L00:def 17 : <br/></a><span> for <font color="Olive" title="b1">J</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="catalg_1.html#NM1" title="CATALG_1:NM.1">Signature</a><br/>  for <font color="Olive" title="b2">X</font> being  <a href="relat_1.html#V3" title="RELAT_1:attr.3">V3</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">J</font><br/>  for <font color="Olive" title="b3">Q</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>   <a href="aofa_l00.html#L4" title="AOFA_L00:struct.4">SubstMSAlgebra</a> over <font color="Olive" title="b1">J</font>,<font color="Olive" title="b2">X</font> holds <br/> ( <font color="Olive" title="b3">Q</font> is  <a href="aofa_l00.html#V13" title="AOFA_L00:attr.13">subst-correct2</a>  iff  for <font color="Olive" title="b4">j</font> being   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">J</font><br/>  for <font color="Olive" title="b5">q</font>, <font color="Olive" title="b6">t</font> being   <a href="msafree5.html#NM1" title="MSAFREE5:NM.1">Element</a> of <font color="Olive" title="b3">Q</font>,<font color="Olive" title="b4">j</font><br/>  for <font color="Olive" title="b7">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="card_3.html#K3" title="CARD_3:func.3">Union</a> <font color="Olive" title="b2">X</font>  st <font color="Olive" title="b6">t</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b7">x</font> &amp; <font color="Olive" title="b7">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive" title="b2">X</font> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b4">j</font> holds <br/><font color="Olive" title="b6">t</font> <a href="aofa_l00.html#K7" title="AOFA_L00:func.7">/</a> (<font color="Olive" title="b7">x</font>,<font color="Olive" title="b5">q</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">q</font> );<br/></span></div>
