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<div><span class="kw">theorem </span><a NAME="T126"><span class="comment"><font color="firebrick">:: FINSEQ_6:126</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a><br/>  for <font color="Olive" title="b2">k1</font>, <font color="Olive" title="b3">k2</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b2">k1</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a> <font color="Olive" title="b3">k2</font> &amp; <font color="Olive" title="b2">k1</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="finseq_1.html#K4" title="FINSEQ_1:func.4">dom</a> <font color="Olive" title="b1">p</font> holds <br/> <a href="finseq_6.html#K2" title="FINSEQ_6:func.2">mid</a> (<font color="Olive" title="b1">p</font>,<font color="Olive" title="b2">k1</font>,<font color="Olive" title="b3">k2</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">p</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b2">k1</font></span>)</span></span><a href="finseq_1.html#K9" title="FINSEQ_1:func.9">*&gt;</a></span> <a href="finseq_1.html#K7" title="FINSEQ_1:func.7">^</a> <span class="p1">(<span class="default"><a href="finseq_6.html#K2" title="FINSEQ_6:func.2">mid</a> (<font color="Olive" title="b1">p</font>,<span class="p2">(<span class="default"><font color="Olive" title="b2">k1</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span>,<font color="Olive" title="b3">k2</font>)</span>)</span></div></div>
