<?xml version="1.0"?>
<div><span class="kw">theorem </span><a NAME="T45"><span class="comment"><font color="firebrick">:: GRAPHSP:45</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">F</font> being    <a href="funct_2.html#M2" title="FUNCT_2:mode.2">Element</a> of  <a href="funct_2.html#K9" title="FUNCT_2:func.9">Funcs</a> (<span class="p1">(<span class="default"><a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a></span>)</span>,<span class="p1">(<span class="default"><a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a></span>)</span>)<br/>  for <font color="Olive" title="b2">f</font> being    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a> <a href="finseq_2.html#K3" title="FINSEQ_2:func.3">*</a> <br/>  for <font color="Olive" title="b3">n</font>, <font color="Olive" title="b4">i</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st <font color="Olive" title="b4">i</font> <a href="xxreal_0.html#NR3" title="XXREAL_0:NR.3">&lt;</a>  <a href="graphsp.html#K8" title="GRAPHSP:func.8">LifeSpan</a> (<font color="Olive" title="b1">F</font>,<font color="Olive" title="b2">f</font>,<font color="Olive" title="b3">n</font>) holds <br/> <a href="graphsp.html#K7" title="GRAPHSP:func.7">OuterVx</a> (<span class="p1">(<span class="default"><span class="p2">(<span class="default"><span class="p3">(<span class="default"><a href="graphsp.html#K5" title="GRAPHSP:func.5">repeat</a> <font color="Olive" title="b1">F</font></span>)</span> <a href="nat_1.html#K8" title="NAT_1:func.8">.</a> <font color="Olive" title="b4">i</font></span>)</span> <a href="graphsp.html#K6" title="GRAPHSP:func.6">.</a> <font color="Olive" title="b2">f</font></span>)</span>,<font color="Olive" title="b3">n</font>) <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  <span class="kw">by</span> <span class="lab"><a class="ref" href="graphsp.html#D4" target="_self" onmouseover="rs('graphsp/D4')" onmouseout="rh()">Def4</a></span>;<br/></div></div>
