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<div><span class="kw">theorem </span><a NAME="T89"><span class="comment"><font color="firebrick">:: AOFA_A01:89</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#V13" title="AOFA_A00:attr.13">1-1-connectives</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>  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">X</font> being  <a href="relat_1.html#V2" title="RELAT_1:attr.2">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">S</font><br/>  for <font color="Olive" title="b3">T</font> being   <a href="msualg_1.html#V4" title="MSUALG_1:attr.4">non-empty</a>  <font color="Olive">b<sub>2</sub></font>,<font color="Olive">b<sub>1</sub></font> <a href="msafree4.html#V5" title="MSAFREE4:attr.5">-terms</a>   <a href="msafree4.html#V6" title="MSAFREE4:attr.6">all_vars_including</a>   <a href="msafree4.html#V7" title="MSAFREE4:attr.7">inheriting_operations</a>   <a href="msafree4.html#V8" title="MSAFREE4:attr.8">free_in_itself</a>   <a href="aofa_a00.html#V3" title="AOFA_A00:attr.3">vf-free</a>   <a href="aofa_a01.html#V6" title="AOFA_A01:attr.6">integer-array</a>   <a href="aofa_a00.html#L1" title="AOFA_A00:struct.1">VarMSAlgebra</a> over <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b4">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   <a href="aofa_a01.html#K10" title="AOFA_A01:func.10">^</a> (1,<font color="Olive" title="b3">T</font>,<font color="Olive" title="b4">I</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="aofa_a00.html#K26" title="AOFA_A00:func.26">\0</a> (<font color="Olive" title="b3">T</font>,<font color="Olive" title="b4">I</font>)</span>)</span> <a href="aofa_a00.html#K29" title="AOFA_A00:func.29">+</a> <span class="p1">(<span class="default"><a href="aofa_a00.html#K27" title="AOFA_A00:func.27">\1</a> (<font color="Olive" title="b3">T</font>,<font color="Olive" title="b4">I</font>)</span>)</span></div></div>
