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<div><span class="kw">theorem </span><a NAME="T10"><span class="comment"><font color="firebrick">:: LATTICE3:10</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">A</font> being    <a href="orders_2.html#L1" title="ORDERS_2:struct.1">RelStr</a>  holds <br/> ( <font color="Olive" title="b1">A</font> is  <a href="lattice3.html#V1" title="LATTICE3:attr.1">with_suprema</a>  iff <font color="Olive" title="b1">A</font> <a href="lattice3.html#K7" title="LATTICE3:func.7">~</a>  is  <a href="lattice3.html#V2" title="LATTICE3:attr.2">with_infima</a>  )</div></div>
