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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E12">Def5</font></span>   defines <a href="aofa_a01.html#V4" title="AOFA_A01:attr.4">basic</a> <a onclick="hs(this)" href="javascript:()">AOFA_A01:def 5 : <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="msualg_1.html#L1" title="MSUALG_1:struct.1">ManySortedSign</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><br/>  for <font color="Olive" title="b4">G</font> being    <a href="aofa_a00.html#L4" title="AOFA_A00:struct.4">GeneratorSystem</a> over <font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">X</font>,<font color="Olive" title="b3">T</font> holds <br/> ( <font color="Olive" title="b4">G</font> is  <a href="aofa_a01.html#V4" title="AOFA_A01:attr.4">basic</a>  iff  the <a href="aofa_a00.html#U4" title="AOFA_A00:sel.4">generators</a> of <font color="Olive" title="b4">G</font> is  <a href="aofa_a01.html#V2" title="AOFA_A01:attr.2">basic</a>  );<br/></span></div>
