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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E12">Def5</font></span>   defines <a href="aofa_l00.html#V7" title="AOFA_L00:attr.7">QC-correct</a> <a onclick="hs(this)" href="javascript:()">AOFA_L00:def 5 : <br/></a><span> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">L</font> being    <a href="aofa_l00.html#L2" title="AOFA_L00:struct.2">QCLangSignature</a> over <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive" title="b2">L</font> is  <a href="aofa_l00.html#V7" title="AOFA_L00:attr.7">QC-correct</a>  iff (  the <a href="aofa_l00.html#U2" title="AOFA_L00:sel.2">quant-sort</a> of <font color="Olive" title="b2">L</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="tarski.html#K2" title="TARSKI:func.2">{</a><span class="default">1,2</span><a href="tarski.html#K2" title="TARSKI:func.2">}</a></span> &amp;  the <a href="aofa_l00.html#U3" title="AOFA_L00:sel.3">quantifiers</a> of <font color="Olive" title="b2">L</font> is  <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>  &amp;  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a>  the <a href="aofa_l00.html#U3" title="AOFA_L00:sel.3">quantifiers</a> of <font color="Olive" title="b2">L</font> <a href="xboole_0.html#R1" title="XBOOLE_0:pred.1">misses</a>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a>  the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Olive" title="b2">L</font> &amp; (  for <font color="Olive" title="b3">q</font>, <font color="Olive" title="b4">x</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>   st <font color="Olive" title="b3">q</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  the <a href="aofa_l00.html#U2" title="AOFA_L00:sel.2">quant-sort</a> of <font color="Olive" title="b2">L</font> &amp; <font color="Olive" title="b4">x</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">X</font> holds <br/> the <a href="aofa_l00.html#U3" title="AOFA_L00:sel.3">quantifiers</a> of <font color="Olive" title="b2">L</font> <a href="binop_1.html#K1" title="BINOP_1:func.1">.</a> (<font color="Olive" title="b3">q</font>,<font color="Olive" title="b4">x</font>) <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a> <span class="p1"><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">&lt;*</a><span class="default"> the <a href="aofa_l00.html#U1" title="AOFA_L00:sel.1">formula-sort</a> of <font color="Olive" title="b2">L</font></span><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">*&gt;</a></span>, the <a href="aofa_l00.html#U1" title="AOFA_L00:sel.1">formula-sort</a> of <font color="Olive" title="b2">L</font> ) ) );<br/></span></div>
