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<div>:: <span class="kw">deftheorem </span>   defines <a href="rewrite3.html#R3" title="REWRITE3:pred.3">==&gt;*</a> <a onclick="hs(this)" href="javascript:()">REWRITE3:def 6 : <br/></a><span> for <font color="Olive" title="b1">E</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">F</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">E</font> <a href="afinsq_1.html#K8" title="AFINSQ_1:func.8">^omega</a></span>)</span><br/>  for <font color="Olive" title="b3">TS</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   <a href="rewrite3.html#L1" title="REWRITE3:struct.1">transition-system</a> over <font color="Olive" title="b2">F</font><br/>  for <font color="Olive" title="b4">x1</font>, <font color="Olive" title="b5">x2</font>, <font color="Olive" title="b6">y1</font>, <font color="Olive" title="b7">y2</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b4">x1</font>,<font color="Olive" title="b5">x2</font> <a href="rewrite3.html#R3" title="REWRITE3:pred.3">==&gt;*</a> <font color="Olive" title="b6">y1</font>,<font color="Olive" title="b7">y2</font>,<font color="Olive" title="b3">TS</font> iff  <a href="rewrite3.html#K1" title="REWRITE3:func.1">==&gt;.-relation</a> <font color="Olive" title="b3">TS</font> <a href="rewrite1.html#R1" title="REWRITE1:pred.1">reduces</a> <span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b4">x1</font>,<font color="Olive" title="b5">x2</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span>,<span class="p1"><a href="tarski.html#K4" title="TARSKI:func.4">[</a><span class="default"><font color="Olive" title="b6">y1</font>,<font color="Olive" title="b7">y2</font></span><a href="tarski.html#K4" title="TARSKI:func.4">]</a></span> );<br/></span></div>
