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<div><span class="kw">theorem </span><a NAME="T3"><span class="comment"><font color="firebrick">:: STIRL2_1:3</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">Ke</font>, <font color="Olive" title="b2">Ne</font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> holds   <a href="nat_1.html#K4" title="NAT_1:func.4">min</a> (<span class="p1">(<span class="default"><a href="nat_1.html#K3" title="NAT_1:func.3">min*</a> <font color="Olive" title="b1">Ke</font></span>)</span>,<span class="p1">(<span class="default"><a href="nat_1.html#K3" title="NAT_1:func.3">min*</a> <font color="Olive" title="b2">Ne</font></span>)</span>) <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="nat_1.html#K3" title="NAT_1:func.3">min*</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">Ke</font> <a href="subset_1.html#K4" title="SUBSET_1:func.4">\/</a> <font color="Olive" title="b2">Ne</font></span>)</span></div></div>
