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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E83">Def50</font></span>   defines <a href="aimloop.html#V20" title="AIMLOOP:attr.20">AIM</a> <a onclick="hs(this)" href="javascript:()">AIMLOOP:def 52 : <br/></a><span> for <font color="Olive" title="b1">Q</font> being   <a href="algstr_1.html#NM2" title="ALGSTR_1:NM.2">multLoop</a> holds <br/> ( <font color="Olive" title="b1">Q</font> is  <a href="aimloop.html#V20" title="AIMLOOP:attr.20">AIM</a>  iff  for <font color="Olive" title="b2">f</font>, <font color="Olive" title="b3">g</font> being   <a href="struct_0.html#NM6" title="STRUCT_0:NM.6">Function</a> of <font color="Olive" title="b1">Q</font>,<font color="Olive" title="b1">Q</font>  st <font color="Olive" title="b2">f</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="aimloop.html#K30" title="AIMLOOP:func.30">InnAut</a> <font color="Olive" title="b1">Q</font> &amp; <font color="Olive" title="b3">g</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="aimloop.html#K30" title="AIMLOOP:func.30">InnAut</a> <font color="Olive" title="b1">Q</font> holds <br/><font color="Olive" title="b2">f</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b3">g</font> <a href="funct_2.html#R2" title="FUNCT_2:pred.2">=</a> <font color="Olive" title="b3">g</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b2">f</font> );<br/></span></div>
