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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E20">Def13</font></span>   defines <a href="aofa_l00.html#K7" title="AOFA_L00:func.7">/</a> <a onclick="hs(this)" href="javascript:()">AOFA_L00:def 13 : <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="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><br/>  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">A</font> being   <a href="msualg_6.html#NM1" title="MSUALG_6:NM.1">Element</a> of <font color="Olive" title="b3">Q</font>,<font color="Olive" title="b4">j</font>  st  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b3">Q</font> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b4">j</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  holds <br/> for <font color="Olive" title="b6">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><br/>  for <font color="Olive" title="b7">t</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>  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b3">Q</font>  st  ex <font color="Olive" title="b8">a</font> being   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">J</font> st <br/>( <font color="Olive" title="b6">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="b8">a</font> &amp; <font color="Olive" title="b7">t</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  the <a href="msualg_1.html#U3" title="MSUALG_1:sel.3">Sorts</a> of <font color="Olive" title="b3">Q</font> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b8">a</font> ) holds <br/><font color="Olive" title="b5">A</font> <a href="aofa_l00.html#K7" title="AOFA_L00:func.7">/</a> (<font color="Olive" title="b6">x</font>,<font color="Olive" title="b7">t</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  the <a href="aofa_l00.html#U5" title="AOFA_L00:sel.5">subst-op</a> of <font color="Olive" title="b3">Q</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b5">A</font>,<span class="p2"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b6">x</font>,<font color="Olive" title="b7">t</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>;<br/></span></div>
