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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E21">Th18</font></span>: <a NAME="T18"><span class="comment"><font color="firebrick">:: AOFA_A01:18</font></span><br/></a><div class="add"> 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="aofa_a00.html#V16" title="AOFA_A00:attr.16">bool-correct</a>  4,1 <a href="aofa_a00.html#V18" title="AOFA_A00:attr.18">integer</a>   <a href="aofa_a00.html#L6" title="AOFA_A00:struct.6">BoolSignature</a> <br/>  for <font color="Olive" title="b2">I</font> being   <a href="aofa_a00.html#V19" title="AOFA_A00:attr.19">integer</a>  <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">o</font> being   <a href="msualg_1.html#NM2" title="MSUALG_1:NM.2">OperSymbol</a> of <font color="Olive" title="b1">S</font>  st <font color="Olive" title="b3">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="subset_1.html#K10" title="SUBSET_1:func.10">In</a> (<span class="p1">(<span class="default"> the <a href="aofa_a00.html#U7" title="AOFA_A00:sel.7">connectives</a> of <font color="Olive" title="b1">S</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> 8</span>)</span>, the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b1">S</font>) holds <br/>(  <a href="msualg_1.html#K1" title="MSUALG_1:func.1">the_arity_of</a> <font color="Olive" title="b3">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><font color="Olive" title="b2">I</font>,<font color="Olive" title="b2">I</font></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span> &amp;  <a href="msualg_1.html#K2" title="MSUALG_1:func.2">the_result_sort_of</a> <font color="Olive" title="b3">o</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">I</font> )</div></div>
