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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E7">thmIL</font></span>: <a NAME="T3"><span class="comment"><font color="firebrick">:: SRINGS_1:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">X</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>   st <font color="Olive" title="b1">X</font> is  <a href="finsub_1.html#V2" title="FINSUB_1:attr.2">cap-closed</a>  &amp; <font color="Olive" title="b1">X</font> is  <a href="finsub_1.html#V1" title="FINSUB_1:attr.1">cup-closed</a>  holds <br/><font color="Olive" title="b1">X</font> is    <a href="lattice7.html#M2" title="LATTICE7:mode.2">Ring_of_sets</a> </div></div>
