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<div>:: <span class="kw">deftheorem </span>   defines <a href="aofa_l00.html#K17" title="AOFA_L00:func.17">\for</a> <a onclick="hs(this)" href="javascript:()">AOFA_L00:def 28 : <br/></a><span> for <font color="Olive" title="b1">n</font> being   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="ordinal1.html#NM2" title="ORDINAL1:NM.2">number</a> <br/>  for <font color="Olive" title="b2">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="b3">T</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>   <a href="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b2">J</font><br/>  for <font color="Olive" title="b4">X</font> being  <a href="relat_1.html#V3" title="RELAT_1:attr.3">V3</a>()  <a href="msafree.html#M1" title="MSAFREE:mode.1">GeneratorSet</a> of <font color="Olive" title="b3">T</font><br/>  for <font color="Olive" title="b5">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>  <font color="Olive">b<sub>2</sub></font> <a href="aofa_l00.html#V2" title="AOFA_L00:attr.2">-extension</a>  <font color="Olive">b<sub>1</sub></font> <a href="aofa_l00.html#V6" title="AOFA_L00:attr.6">PC-correct</a>   <a href="aofa_l00.html#V7" title="AOFA_L00:attr.7">QC-correct</a>   <a href="aofa_l00.html#L2" title="AOFA_L00:struct.2">QCLangSignature</a> over  <a href="aofa_l00.html#K4" title="AOFA_L00:func.4">Union</a> <font color="Olive" title="b4">X</font><br/>  for <font color="Olive" title="b6">Y</font> being  <a href="relat_1.html#V3" title="RELAT_1:attr.3">V3</a>() <font color="Olive">b<sub>4</sub></font> <a href="aofa_l00.html#V1" title="AOFA_L00:attr.1">-tolerating</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="b5">S</font><br/>  for <font color="Olive" title="b7">L</font> being   <a href="aofa_l00.html#NM2" title="AOFA_L00:NM.2">Language</a> of <font color="Olive" title="b6">Y</font>,<font color="Olive" title="b5">S</font><br/>  for <font color="Olive" title="b8">A</font> being   <a href="aofa_l00.html#NM3" title="AOFA_L00:NM.3">Formula</a> of <font color="Olive" title="b7">L</font><br/>  for <font color="Olive" title="b9">x</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="aofa_l00.html#K4" title="AOFA_L00:func.4">Union</a> <font color="Olive" title="b4">X</font> holds   <a href="aofa_l00.html#K17" title="AOFA_L00:func.17">\for</a> (<font color="Olive" title="b9">x</font>,<font color="Olive" title="b8">A</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="msualg_1.html#K5" title="MSUALG_1:func.5">Den</a> (<span class="p2">(<span class="default"><a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<span class="p3">(<span class="default"> the <a href="aofa_l00.html#U3" title="AOFA_L00:sel.3">quantifiers</a> of <font color="Olive" title="b5">S</font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (1,<font color="Olive" title="b9">x</font>)</span>)</span>, the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b5">S</font>)</span>)</span>,<font color="Olive" title="b7">L</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><font color="Olive" title="b8">A</font></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span>;<br/></span></div>
