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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E13">Th10</font></span>: <a NAME="T10"><span class="comment"><font color="firebrick">:: AOFA_A01:10</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">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="aofa_a00.html#V3" title="AOFA_A00:attr.3">vf-free</a>   <a href="aofa_a01.html#V1" title="AOFA_A01:attr.1">integer</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">C</font> being   <a href="aofa_a00.html#V17" title="AOFA_A00:attr.17">bool-correct</a>  4,1 <a href="aofa_a00.html#V20" title="AOFA_A00:attr.20">integer</a>  <a href="msafree4.html#NM2" title="MSAFREE4:NM.2">image</a> of <font color="Olive" title="b3">T</font> holds   <a href="aofa_a01.html#K2" title="AOFA_A01:func.2">\false</a> <font color="Olive" title="b4">C</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="margrel1.html#K6" title="MARGREL1:func.6">FALSE</a> </div></div>
