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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E50">Th70</font></span>: <a NAME="T59"><span class="comment"><font color="firebrick">:: ORDERS_5:59</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="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">D</font> being   non  <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a>   <a href="eqrel_1.html#M1" title="EQREL_1:mode.1">a_partition</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b3">f</font> being   <a href="pre_poly.html#V2" title="PRE_POLY:attr.2">finite-support</a>  <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">A</font>,<a href="numbers.html#K1" title="NUMBERS:func.1">REAL</a><br/>  for <font color="Olive" title="b4">s1</font> being   <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b1">A</font><br/>  for <font color="Olive" title="b5">s2</font> being   <a href="funct_1.html#V2" title="FUNCT_1:attr.2">one-to-one</a>   <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b2">D</font>  st  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b4">s1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="orders_5.html#K2" title="ORDERS_5:func.2">support</a> <font color="Olive" title="b3">f</font> &amp;  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b5">s2</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="orders_5.html#K2" title="ORDERS_5:func.2">support</a> <span class="p1">(<span class="default"><font color="Olive" title="b2">D</font> <a href="orders_5.html#K10" title="ORDERS_5:func.10">eqSumOf</a> <font color="Olive" title="b3">f</font></span>)</span> holds <br/> <a href="rvsum_1.html#K18" title="RVSUM_1:func.18">Sum</a> <span class="p1">(<span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b2">D</font> <a href="orders_5.html#K10" title="ORDERS_5:func.10">eqSumOf</a> <font color="Olive" title="b3">f</font></span>)</span> <a href="finseqop.html#K4" title="FINSEQOP:func.4">*</a> <font color="Olive" title="b5">s2</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="rvsum_1.html#K18" title="RVSUM_1:func.18">Sum</a> <span class="p1">(<span class="default"><font color="Olive" title="b3">f</font> <a href="finseqop.html#K4" title="FINSEQOP:func.4">*</a> <font color="Olive" title="b4">s1</font></span>)</span></div></div>
