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<div><span class="kw">theorem </span><a NAME="T19"><span class="comment"><font color="firebrick">:: FINSEQOP:19</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">d9</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="b6">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="b7">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> holds  <font color="Olive" title="b7">F</font> <a href="finseqop.html#K2" title="FINSEQOP:func.2">[:]</a> (<span class="p1">(<span class="default"><font color="Olive" title="b6">i</font> <a href="finseq_2.html#K5" title="FINSEQ_2:func.5">|-&gt;</a> <font color="Olive" title="b4">d</font></span>)</span>,<font color="Olive" title="b5">d9</font>) <a href="relset_1.html#R2" title="RELSET_1:pred.2">=</a> <font color="Olive" title="b6">i</font> <a href="finseq_2.html#K5" title="FINSEQ_2:func.5">|-&gt;</a> <span class="p1">(<span class="default"><font color="Olive" title="b7">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">d9</font>)</span>)</span></div></div>
