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<div><span class="kw">theorem </span><a NAME="T30"><span class="comment"><font color="firebrick">:: BINPACK1:30</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">a</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="partfun3.html#V1" title="PARTFUN3:attr.1">positive</a>   <a href="binpack1.html#V1" title="BINPACK1:attr.1">at_most_one</a>   <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">f</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of  <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a>   st <font color="Olive" title="b2">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="binpack1.html#K7" title="BINPACK1:func.7">OnlinePacking</a> (<font color="Olive" title="b1">a</font>,<span class="p1">(<span class="default"><a href="binpack1.html#K8" title="BINPACK1:func.8">NextFit</a> <font color="Olive" title="b1">a</font></span>)</span>) holds <br/> for <font color="Olive" title="b3">j</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st <font color="Olive" title="b3">j</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a>  <a href="rvsum_1.html#K1" title="RVSUM_1:func.1">rng</a> <font color="Olive" title="b2">f</font> holds <br/> <a href="binpack1.html#K4" title="BINPACK1:func.4">SumBin</a> (<font color="Olive" title="b1">a</font>,<font color="Olive" title="b2">f</font>,<span class="p1"><a href="tarski.html#K1" title="TARSKI:func.1">{</a><span class="default"><font color="Olive" title="b3">j</font></span><a href="tarski.html#K1" title="TARSKI:func.1">}</a></span>) <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> 1</div></div>
