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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E64">Th73</font></span>: <a NAME="T73"><span class="comment"><font color="firebrick">:: AOFA_A01:73</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>  11,1,1 <a href="aofa_a00.html#V21" title="AOFA_A00:attr.21">-array</a>  11 <a href="aofa_a00.html#V23" title="AOFA_A00:attr.23">array-correct</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> holds <br/> (  <a href="aofa_a00.html#K36" title="AOFA_A00:func.36">the_array_sort_of</a> <font color="Olive" title="b1">S</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b2">I</font> &amp;  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> 11 <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a> <span class="p1"><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">&lt;*</a><span class="default"><span class="p2">(<span class="default"><a href="aofa_a00.html#K36" title="AOFA_A00:func.36">the_array_sort_of</a> <font color="Olive" title="b1">S</font></span>)</span>,<font color="Olive" title="b2">I</font></span><a href="finseq_4.html#K2" title="FINSEQ_4:func.2">*&gt;</a></span>,<font color="Olive" title="b2">I</font> &amp;  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> <span class="p1">(<span class="default">11 <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 1</span>)</span> <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a> <span class="p1"><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">&lt;*</a><span class="default"><span class="p2">(<span class="default"><a href="aofa_a00.html#K36" title="AOFA_A00:func.36">the_array_sort_of</a> <font color="Olive" title="b1">S</font></span>)</span>,<font color="Olive" title="b2">I</font>,<font color="Olive" title="b2">I</font></span><a href="finseq_4.html#K3" title="FINSEQ_4:func.3">*&gt;</a></span>, <a href="aofa_a00.html#K36" title="AOFA_A00:func.36">the_array_sort_of</a> <font color="Olive" title="b1">S</font> &amp;  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> <span class="p1">(<span class="default">11 <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 2</span>)</span> <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</a> <span class="p1"><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">&lt;*</a><span class="default"><span class="p2">(<span class="default"><a href="aofa_a00.html#K36" title="AOFA_A00:func.36">the_array_sort_of</a> <font color="Olive" title="b1">S</font></span>)</span></span><a href="finseq_1.html#K12" title="FINSEQ_1:func.12">*&gt;</a></span>,<font color="Olive" title="b2">I</font> &amp;  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> <span class="p1">(<span class="default">11 <a href="xcmplx_0.html#K2" title="XCMPLX_0:func.2">+</a> 3</span>)</span> <a href="aofa_a00.html#R1" title="AOFA_A00:pred.1">is_of_type</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>, <a href="aofa_a00.html#K36" title="AOFA_A00:func.36">the_array_sort_of</a> <font color="Olive" title="b1">S</font> )</div></div>
