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<div><span class="kw">theorem </span><a NAME="T82"><span class="comment"><font color="firebrick">:: FINSEQ_2:82</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">D</font>, <font color="Olive" title="b2">D9</font>, <font color="Olive" title="b3">E</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="b4">d</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b1">D</font><br/>  for <font color="Olive" title="b5">d19</font>, <font color="Olive" title="b6">d29</font>, <font color="Olive" title="b7">d39</font> being    <a href="subset_1.html#M1" title="SUBSET_1:mode.1">Element</a> of <font color="Olive" title="b2">D9</font><br/>  for <font color="Olive" title="b8">F</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1"><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">[:</a><span class="default"><font color="Olive" title="b1">D</font>,<font color="Olive" title="b2">D9</font></span><a href="zfmisc_1.html#K2" title="ZFMISC_1:func.2">:]</a></span>,<font color="Olive" title="b3">E</font><br/>  for <font color="Olive" title="b9">p</font> being    <a href="finseq_1.html#M2" title="FINSEQ_1:mode.2">FinSequence</a> of <font color="Olive" title="b2">D9</font>  st <font color="Olive" title="b9">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">&lt;*</a><span class="default"><font color="Olive" title="b5">d19</font>,<font color="Olive" title="b6">d29</font>,<font color="Olive" title="b7">d39</font></span><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">*&gt;</a></span> holds <br/><font color="Olive" title="b8">F</font> <a href="funcop_1.html#K5" title="FUNCOP_1:func.5">[;]</a> (<font color="Olive" title="b4">d</font>,<font color="Olive" title="b9">p</font>) <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">&lt;*</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b8">F</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Olive" title="b4">d</font>,<font color="Olive" title="b5">d19</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b8">F</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Olive" title="b4">d</font>,<font color="Olive" title="b6">d29</font>)</span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b8">F</font> <a href="binop_1.html#K2" title="BINOP_1:func.2">.</a> (<font color="Olive" title="b4">d</font>,<font color="Olive" title="b7">d39</font>)</span>)</span></span><a href="finseq_1.html#K11" title="FINSEQ_1:func.11">*&gt;</a></span></div></div>
