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<div><span class="kw">theorem </span><a NAME="T15"><span class="comment"><font color="firebrick">:: AFINSQ_2:15</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   <a href="afinsq_1.html#NM1" title="AFINSQ_1:NM.1">XFinSequence</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 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b2">k1</font> &amp; <font color="Olive" title="b3">k2</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a>  <a href="afinsq_1.html#K1" title="AFINSQ_1:func.1">len</a> <font color="Olive" title="b1">p</font> holds <br/> <a href="afinsq_2.html#K3" title="AFINSQ_2:func.3">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">(<span class="default"><font color="Olive" title="b1">p</font> <a href="afinsq_2.html#K2" title="AFINSQ_2:func.2">/^</a> <span class="p2">(<span class="default"><font color="Olive" title="b2">k1</font> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span></span>)</span> <a href="relat_1.html#K5" title="RELAT_1:func.5">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">k2</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> <font color="Olive" title="b2">k1</font></span>)</span></div></div>
