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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E16">Th14</font></span>: <a NAME="T14"><span class="comment"><font color="firebrick">:: NOMIN_7:14</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">size</font> being   non  <a href="ordinal1.html#V8" title="ORDINAL1:attr.8">zero</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">V</font>, <font color="Olive" title="b3">A</font> being    <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b4">loc</font> being  <font color="Olive">b<sub>2</sub></font> <a href="relat_1.html#V5" title="RELAT_1:attr.5">-valued</a>  <a href="funct_1.html#NM1" title="FUNCT_1:NM.1">Function</a><br/>  for <font color="Olive" title="b5">d1</font> being    <a href="nomin_1.html#M3" title="NOMIN_1:mode.3">NonatomicND</a> of <font color="Olive" title="b2">V</font>,<font color="Olive" title="b3">A</font><br/>  for <font color="Olive" title="b6">val</font> being  <font color="Olive">b<sub>1</sub></font> <a href="card_1.html#V3" title="CARD_1:attr.3">-element</a>  <a href="finseq_1.html#NM1" title="FINSEQ_1:NM.1">FinSequence</a>  st <font color="Olive" title="b4">loc</font>,<font color="Olive" title="b6">val</font> <a href="nomin_7.html#R2" title="NOMIN_7:pred.2">are_different_wrt</a> <font color="Olive" title="b1">size</font> &amp; <font color="Olive" title="b4">loc</font>,<font color="Olive" title="b6">val</font>,<font color="Olive" title="b1">size</font> <a href="nomin_7.html#R3" title="NOMIN_7:pred.3">are_correct_wrt</a> <font color="Olive" title="b5">d1</font> holds <br/> for <font color="Olive" title="b7">m</font>, <font color="Olive" title="b8">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a>  st 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b7">m</font> &amp; <font color="Olive" title="b7">m</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">size</font> &amp; 1 <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b8">n</font> &amp; <font color="Olive" title="b8">n</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">size</font> holds <br/><span class="p1">(<span class="default"><span class="p2">(<span class="default"><a href="nomin_7.html#K2" title="NOMIN_7:func.2">LocalOverlapSeq</a> (<font color="Olive" title="b3">A</font>,<font color="Olive" title="b4">loc</font>,<font color="Olive" title="b6">val</font>,<font color="Olive" title="b5">d1</font>,<font color="Olive" title="b1">size</font>)</span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b7">m</font></span>)</span> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">val</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b8">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b5">d1</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <span class="p1">(<span class="default"><font color="Olive" title="b6">val</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b8">n</font></span>)</span></div></div>
