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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E19">Th11</font></span>: <a NAME="T11"><span class="comment"><font color="firebrick">:: OSALG_1:11</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">SM</font> being   <a href="osalg_1.html#V8" title="OSALG_1:attr.8">monotone</a>  <a href="osalg_1.html#NM3" title="OSALG_1:NM.3">OrderSortedSign</a> holds <br/> ( <font color="Olive" title="b1">SM</font> is  <a href="osalg_1.html#V10" title="OSALG_1:attr.10">regular</a>  iff  for <font color="Olive" title="b2">o</font> being   <a href="osalg_1.html#NM2" title="OSALG_1:NM.2">OperSymbol</a> of <font color="Olive" title="b1">SM</font><br/>  for <font color="Olive" title="b3">w1</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of  the <a href="struct_0.html#U1" title="STRUCT_0:sel.1">carrier</a> of <font color="Olive" title="b1">SM</font> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a>   st <font color="Olive" title="b3">w1</font> <a href="osalg_1.html#R2" title="OSALG_1:pred.2">&lt;=</a>  <a href="msualg_1.html#K1" title="MSUALG_1:func.1">the_arity_of</a> <font color="Olive" title="b2">o</font> holds <br/> ex <font color="Olive" title="b4">o1</font> being   <a href="osalg_1.html#NM2" title="OSALG_1:NM.2">OperSymbol</a> of <font color="Olive" title="b1">SM</font> st <font color="Olive" title="b4">o1</font> <a href="osalg_1.html#R5" title="OSALG_1:pred.5">has_least_rank_for</a> <font color="Olive" title="b2">o</font>,<font color="Olive" title="b3">w1</font> )</div></div>
