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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E97">Def3</font></span>   defines <a href="finseq_6.html#K2" title="FINSEQ_6:func.2">mid</a> <a onclick="hs(this)" href="javascript:()">FINSEQ_6:def 3 : <br/></a><span> for <font color="Olive" title="b1">f</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> holds <br/> ( ( <font color="Olive" title="b2">k1</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">k2</font> implies  <a href="finseq_6.html#K2" title="FINSEQ_6:func.2">mid</a> (<font color="Olive" title="b1">f</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">f</font> <a href="rfinseq.html#K1" title="RFINSEQ:func.1">/^</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="finseq_1.html#K16" title="FINSEQ_1:func.16">|</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b3">k2</font> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> <font color="Olive" title="b2">k1</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> ) &amp; (  not <font color="Olive" title="b2">k1</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b3">k2</font> implies  <a href="finseq_6.html#K2" title="FINSEQ_6:func.2">mid</a> (<font color="Olive" title="b1">f</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>  <a href="finseq_5.html#K3" title="FINSEQ_5:func.3">Rev</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b1">f</font> <a href="rfinseq.html#K1" title="RFINSEQ:func.1">/^</a> <span class="p3">(<span class="default"><font color="Olive" title="b3">k2</font> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> 1</span>)</span></span>)</span> <a href="finseq_1.html#K16" title="FINSEQ_1:func.16">|</a> <span class="p2">(<span class="default"><span class="p3">(<span class="default"><font color="Olive" title="b2">k1</font> <a href="nat_d.html#K7" title="NAT_D:func.7">-'</a> <font color="Olive" title="b3">k2</font></span>)</span> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span></span>)</span> ) );<br/></span></div>
