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<div><span class="kw">theorem </span><a NAME="T48"><span class="comment"><font color="firebrick">:: INTERVA1:48</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">U</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a>  holds  <span class="p1">(<span class="default"><a href="interva1.html#K2" title="INTERVA1:func.2">Inter</a> (<span class="p2">(<span class="default"><a href="subset_1.html#K2" title="SUBSET_1:func.2">[#]</a> <font color="Olive" title="b1">U</font></span>)</span>,<span class="p2">(<span class="default"><a href="subset_1.html#K2" title="SUBSET_1:func.2">[#]</a> <font color="Olive" title="b1">U</font></span>)</span>)</span>)</span> <a href="interva1.html#K10" title="INTERVA1:func.10">^</a>  <a href="interva1.html#R1" title="INTERVA1:pred.1">=</a>  <a href="interva1.html#K2" title="INTERVA1:func.2">Inter</a> (<span class="p1">(<span class="default"><a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a> <font color="Olive" title="b1">U</font></span>)</span>,<span class="p1">(<span class="default"><a href="subset_1.html#K1" title="SUBSET_1:func.1">{}</a> <font color="Olive" title="b1">U</font></span>)</span>)</div></div>
