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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E12">Th12</font></span>: <a NAME="T13"><span class="comment"><font color="firebrick">:: TREES_1:13</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font>, <font color="Olive" title="b2">q</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a>  st <font color="Olive" title="b1">p</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="trees_1.html#K1" title="TREES_1:func.1">ProperPrefixes</a> <font color="Olive" title="b2">q</font> holds <br/> <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b1">p</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="finseq_1.html#K3" title="FINSEQ_1:func.3">len</a> <font color="Olive" title="b2">q</font> <span class="kw">by</span> <span class="lab"><a class="ref" href="trees_1.html#T12" target="_self" onmouseover="rs('trees_1/T12')" onmouseout="rh()">Th11</a>, <a class="ref" href="trees_1.html#T6" target="_self" onmouseover="rs('trees_1/T6')" onmouseout="rh()">Th5</a></span>;<br/></div></div>
