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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E6">Def4</font></span>   defines <a href="quofield.html#K6" title="QUOFIELD:func.6">QClass.</a> <a onclick="hs(this)" href="javascript:()">QUOFIELD:def 4 : <br/></a><span> for <font color="Olive" title="b1">I</font> being   non  <a href="struct_0.html#V2" title="STRUCT_0:attr.2">empty</a>   non  <a href="struct_0.html#V6" title="STRUCT_0:attr.6">degenerated</a>   <a href="algstr_0.html#L5" title="ALGSTR_0:struct.5">multLoopStr_0</a> <br/>  for <font color="Olive" title="b2">u</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="quofield.html#K1" title="QUOFIELD:func.1">Q.</a> <font color="Olive" title="b1">I</font><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><a href="quofield.html#K1" title="QUOFIELD:func.1">Q.</a> <font color="Olive" title="b1">I</font></span>)</span> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="quofield.html#K6" title="QUOFIELD:func.6">QClass.</a> <font color="Olive" title="b2">u</font> iff  for <font color="Olive" title="b4">z</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="quofield.html#K1" title="QUOFIELD:func.1">Q.</a> <font color="Olive" title="b1">I</font> holds <br/> ( <font color="Olive" title="b4">z</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>3</sub></font> iff <span class="p1">(<span class="default"><font color="Olive" title="b4">z</font> <a href="domain_1.html#K2" title="DOMAIN_1:func.2">`1</a></span>)</span> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">u</font> <a href="domain_1.html#K3" title="DOMAIN_1:func.3">`2</a></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b4">z</font> <a href="domain_1.html#K3" title="DOMAIN_1:func.3">`2</a></span>)</span> <a href="algstr_0.html#K6" title="ALGSTR_0:func.6">*</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">u</font> <a href="domain_1.html#K2" title="DOMAIN_1:func.2">`1</a></span>)</span> ) );<br/></span></div>
