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<div>:: <span class="kw">deftheorem </span>   defines <a href="aofa_a01.html#V8" title="AOFA_A01:attr.8">array-degenerated</a> <a onclick="hs(this)" href="javascript:()">AOFA_A01:def 20 : <br/></a><span> 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  <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="msualg_1.html#L3" title="MSUALG_1:struct.3">MSAlgebra</a> over <font color="Olive" title="b1">S</font> holds <br/> ( <font color="Olive" title="b3">T</font> is  <a href="aofa_a01.html#V8" title="AOFA_A01:attr.8">array-degenerated</a>  iff  ex <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> ex <font color="Olive" title="b5">M</font> being    <a href="msafree4.html#M1" title="MSAFREE4:mode.1">Element</a> of <span class="p1">(<span class="default"><a href="aofa_a01.html#K1" title="AOFA_A01:func.1">FreeGen</a> <font color="Olive" title="b3">T</font></span>)</span> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <span class="p1">(<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> ex <font color="Olive" title="b6">t</font> being   <a href="msualg_6.html#NM1" title="MSUALG_6:NM.1">Element</a> of <font color="Olive" title="b3">T</font>,<font color="Olive" title="b4">I</font> st <span class="p1">(<span class="default"><a href="aofa_a01.html#K4" title="AOFA_A01:func.4">@</a> <font color="Olive" title="b5">M</font></span>)</span> <a href="aofa_a00.html#K38" title="AOFA_A00:func.38">.</a> <font color="Olive" title="b6">t</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <span class="p1">(<span class="default"><a href="msaterm.html#K2" title="MSATERM:func.2">Sym</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_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</span>)</span>, the <a href="struct_0.html#U4" title="STRUCT_0:sel.4">carrier'</a> of <font color="Olive" title="b1">S</font>)</span>)</span>,<font color="Olive" title="b2">X</font>)</span>)</span> <a href="trees_4.html#K4" title="TREES_4:func.4">-tree</a> <span class="p1"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Olive" title="b5">M</font>,<font color="Olive" title="b6">t</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span> );<br/></span></div>
