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<div>:: <span class="kw">deftheorem </span>   defines <a href="rewrite2.html#R4" title="REWRITE2:pred.4">are_equivalent_wrt</a> <a onclick="hs(this)" href="javascript:()">REWRITE2:def 9 : <br/></a><span> for <font color="Olive" title="b1">E</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">S</font>, <font color="Olive" title="b3">T</font> being   <a href="rewrite2.html#NM1" title="REWRITE2:NM.1">semi-Thue-system</a> of <font color="Olive" title="b1">E</font><br/>  for <font color="Olive" title="b4">w</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">E</font> <a href="afinsq_1.html#K8" title="AFINSQ_1:func.8">^omega</a>  holds <br/> ( <font color="Olive" title="b2">S</font>,<font color="Olive" title="b3">T</font> <a href="rewrite2.html#R4" title="REWRITE2:pred.4">are_equivalent_wrt</a> <font color="Olive" title="b4">w</font> iff  <a href="rewrite2.html#K8" title="REWRITE2:func.8">Lang</a> (<font color="Olive" title="b4">w</font>,<font color="Olive" title="b2">S</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rewrite2.html#K8" title="REWRITE2:func.8">Lang</a> (<font color="Olive" title="b4">w</font>,<font color="Olive" title="b3">T</font>) );<br/></span></div>
