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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E20">DefSigmaRing</font></span>   defines <a href="srings_3.html#M1" title="SRINGS_3:mode.1">SigmaRing</a> <a onclick="hs(this)" href="javascript:()">SRINGS_3:def 4 : <br/></a><span> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive">b<sub>2</sub></font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finsub_1.html#V4" title="FINSUB_1:attr.4">preBoolean</a>  <a href="setfam_1.html#NM1" title="SETFAM_1:NM.1">Subset-Family</a> of <font color="Olive" title="b1">X</font> holds <br/> ( <font color="Olive">b<sub>2</sub></font> is    <a href="srings_3.html#M1" title="SRINGS_3:mode.1">SigmaRing</a> of <font color="Olive" title="b1">X</font> iff  for <font color="Olive" title="b3">F</font> being   <a href="prob_1.html#NM2" title="PROB_1:NM.2">SetSequence</a> of <font color="Olive" title="b1">X</font>  st  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <font color="Olive" title="b3">F</font> <a href="tarski.html#R1" title="TARSKI:pred.1">c=</a> <font color="Olive">b<sub>2</sub></font> holds <br/> <a href="kurato_0.html#K1" title="KURATO_0:func.1">Union</a> <font color="Olive" title="b3">F</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>2</sub></font> );<br/></span></div>
