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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E78">Th79</font></span>: <a NAME="T79"><span class="comment"><font color="firebrick">:: MSAFREE4:79</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="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">V5</a>() <a href="struct_0.html#NM8" title="STRUCT_0:NM.8">ManySortedSet</a> of <font color="Olive" title="b1">S</font><br/>  for <font color="Olive" title="b3">x</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b4">R</font> being   <a href="msualg_6.html#V3" title="MSUALG_6:attr.3">invariant</a>   <a href="msualg_6.html#V4" title="MSUALG_6:attr.4">stable</a>   <a href="msafree4.html#V12" title="MSAFREE4:attr.12">terminating</a>   <a href="msafree4.html#V13" title="MSAFREE4:attr.13">with_UN_property</a>  <a href="msualg_4.html#NM3" title="MSUALG_4:NM.3">ManySortedRelation</a> of <span class="p1">(<span class="default"><a href="msafree3.html#K1" title="MSAFREE3:func.1">Free</a> (<font color="Olive" title="b1">S</font>,<font color="Olive" title="b2">X</font>)</span>)</span><br/>  for <font color="Olive" title="b5">a</font> being   <a href="msualg_1.html#NM1" title="MSUALG_1:NM.1">SortSymbol</a> of <font color="Olive" title="b1">S</font>  st <font color="Olive" title="b3">x</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <span class="p1">(<span class="default"><a href="msafree4.html#K9" title="MSAFREE4:func.9">NForms</a> <font color="Olive" title="b4">R</font></span>)</span> <a href="msafree4.html#K1" title="MSAFREE4:func.1">.</a> <font color="Olive" title="b5">a</font> holds <br/> <a href="rewrite1.html#K2" title="REWRITE1:func.2">nf</a> (<font color="Olive" title="b3">x</font>,<span class="p1">(<span class="default"><font color="Olive" title="b4">R</font> <a href="msafree4.html#K7" title="MSAFREE4:func.7">.</a> <font color="Olive" title="b5">a</font></span>)</span>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b3">x</font></div></div>
