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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E55">Th34</font></span>: <a NAME="T37"><span class="comment"><font color="firebrick">:: AIMLOOP:37</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Q</font> being   <a href="algstr_1.html#NM2" title="ALGSTR_1:NM.2">multLoop</a><br/>  for <font color="Olive" title="b2">H</font> being   <a href="struct_0.html#NM2" title="STRUCT_0:NM.2">Subset</a> of <font color="Olive" title="b1">Q</font><br/>  for <font color="Olive" title="b3">phi</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a> <span class="p2">(<span class="default"><a href="aimloop.html#K1" title="AIMLOOP:func.1">Funcs</a> (<font color="Olive" title="b1">Q</font>,<font color="Olive" title="b1">Q</font>)</span>)</span></span>)</span>,<span class="p1">(<span class="default"><a href="zfmisc_1.html#K1" title="ZFMISC_1:func.1">bool</a> <span class="p2">(<span class="default"><a href="aimloop.html#K1" title="AIMLOOP:func.1">Funcs</a> (<font color="Olive" title="b1">Q</font>,<font color="Olive" title="b1">Q</font>)</span>)</span></span>)</span>  st (  for <font color="Olive" title="b4">X</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="aimloop.html#K1" title="AIMLOOP:func.1">Funcs</a> (<font color="Olive" title="b1">Q</font>,<font color="Olive" title="b1">Q</font>)</span>)</span> holds  <font color="Olive" title="b3">phi</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">X</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="aimloop.html#K19" title="AIMLOOP:func.19">MltClos1</a> (<font color="Olive" title="b2">H</font>,<font color="Olive" title="b4">X</font>) ) holds <br/>(  <a href="aimloop.html#K20" title="AIMLOOP:func.20">Mlt</a> <font color="Olive" title="b2">H</font> <a href="abian.html#R2" title="ABIAN:pred.2">is_a_fixpoint_of</a> <font color="Olive" title="b3">phi</font> &amp; (  for <font color="Olive" title="b4">S</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="aimloop.html#K1" title="AIMLOOP:func.1">Funcs</a> (<font color="Olive" title="b1">Q</font>,<font color="Olive" title="b1">Q</font>)</span>)</span>  st <font color="Olive" title="b3">phi</font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">S</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">S</font> holds <br/> <a href="aimloop.html#K20" title="AIMLOOP:func.20">Mlt</a> <font color="Olive" title="b2">H</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive" title="b4">S</font> ) )</div></div>
