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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E21">Def9</font></span>   defines <a href="polnot_1.html#K7" title="POLNOT_1:func.7">Polish-atoms</a> <a onclick="hs(this)" href="javascript:()">POLNOT_1:def 7 : <br/></a><span> for <font color="Olive" title="b1">P</font> being   <a href="finseq_1.html#V3" title="FINSEQ_1:attr.3">FinSequence-membered</a>   <a href="hidden.html#M2" title="HIDDEN:mode.2">set</a> <br/>  for <font color="Olive" title="b2">A</font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <font color="Olive" title="b1">P</font>,<a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a><br/>  for <font color="Olive">b<sub>3</sub></font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <span class="p1">(<span class="default"><font color="Olive" title="b1">P</font> <a href="polnot_1.html#K5" title="POLNOT_1:func.5">*</a></span>)</span> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="polnot_1.html#K7" title="POLNOT_1:func.7">Polish-atoms</a> (<font color="Olive" title="b1">P</font>,<font color="Olive" title="b2">A</font>) iff  for <font color="Olive" title="b4">a</font> being    <a href="hidden.html#M1" title="HIDDEN:mode.1">object</a>  holds <br/> ( <font color="Olive" title="b4">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive">b<sub>3</sub></font> iff ( <font color="Olive" title="b4">a</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a> <font color="Olive" title="b1">P</font> &amp; <font color="Olive" title="b2">A</font> <a href="funct_1.html#K1" title="FUNCT_1:func.1">.</a> <font color="Olive" title="b4">a</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="ordinal1.html#K5" title="ORDINAL1:func.5">0</a>  ) ) );<br/></span></div>
