<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T5"><span class="comment"><font color="firebrick">:: RFINSEQ2:5</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">f</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <br/>  for <font color="Olive" title="b2">r1</font>, <font color="Olive" title="b3">r2</font> being   <a href="xreal_0.html#NM1" title="XREAL_0:NM.1">Real</a>  st <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">&lt;*</a><span class="default"><font color="Olive" title="b2">r1</font>,<font color="Olive" title="b3">r2</font></span><a href="finseq_1.html#K10" title="FINSEQ_1:func.10">*&gt;</a></span> holds <br/>(  <a href="rfinseq2.html#K3" title="RFINSEQ2:func.3">max</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xxreal_0.html#K4" title="XXREAL_0:func.4">max</a> (<font color="Olive" title="b2">r1</font>,<font color="Olive" title="b3">r2</font>) &amp;  <a href="rfinseq2.html#K1" title="RFINSEQ2:func.1">max_p</a> <font color="Olive" title="b1">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="funcop_1.html#K16" title="FUNCOP_1:func.16">IFEQ</a> (<font color="Olive" title="b2">r1</font>,<span class="p1">(<span class="default"><a href="xxreal_0.html#K4" title="XXREAL_0:func.4">max</a> (<font color="Olive" title="b2">r1</font>,<font color="Olive" title="b3">r2</font>)</span>)</span>,1,2) )</div></div>
