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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E72">Th112</font></span>: <a NAME="T114"><span class="comment"><font color="firebrick">:: FINSEQ_2:114</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">i</font> being   <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>   <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">Number</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="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b3">z</font> being   <a href="finseq_2.html#NM3" title="FINSEQ_2:NM.3">Tuple</a> of <font color="Olive" title="b1">i</font>,<font color="Olive" title="b2">D</font><br/>  for <font color="Olive" title="b4">f</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><a href="finseq_1.html#K1" title="FINSEQ_1:func.1">Seg</a> <font color="Olive" title="b1">i</font></span>)</span>,<span class="p1">(<span class="default"><a href="finseq_1.html#K1" title="FINSEQ_1:func.1">Seg</a> <font color="Olive" title="b1">i</font></span>)</span>  st  <a href="xtuple_0.html#K10" title="XTUPLE_0:func.10">rng</a> <font color="Olive" title="b4">f</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="finseq_1.html#K1" title="FINSEQ_1:func.1">Seg</a> <font color="Olive" title="b1">i</font> holds <br/><font color="Olive" title="b3">z</font> <a href="partfun1.html#K1" title="PARTFUN1:func.1">*</a> <font color="Olive" title="b4">f</font> is    <a href="finseq_2.html#M2" title="FINSEQ_2:mode.2">Element</a> of <font color="Olive" title="b1">i</font> <a href="finseq_2.html#K4" title="FINSEQ_2:func.4">-tuples_on</a> <font color="Olive" title="b2">D</font></div></div>
