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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E23">FG</font></span>   defines <a href="moebius2.html#K5" title="MOEBIUS2:func.5">FreeGen</a> <a onclick="hs(this)" href="javascript:()">MOEBIUS2:def 5 : <br/></a><span> for <font color="Olive" title="b1">p</font> being   <a href="newton.html#NM1" title="NEWTON:NM.1">Prime</a><br/>  for <font color="Olive">b<sub>2</sub></font> being   <a href="subset_1.html#NM2" title="SUBSET_1:NM.2">Subset</a> of <a href="numbers.html#NK1" title="NUMBERS:NK.1">NAT</a> holds <br/> ( <font color="Olive">b<sub>2</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="moebius2.html#K5" title="MOEBIUS2:func.5">FreeGen</a> <font color="Olive" title="b1">p</font> iff  for <font color="Olive" title="b3">n</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a> holds <br/> ( <font color="Olive" title="b3">n</font> <a href="tarski.html#R2" title="TARSKI:pred.2">in</a> <font color="Olive">b<sub>2</sub></font> iff ( <font color="Olive" title="b3">n</font> is  <a href="moebius1.html#NV2" title="MOEBIUS1:NV.2">square-free</a>  &amp; (  for <font color="Olive" title="b4">i</font> being   <a href="newton.html#NM1" title="NEWTON:NM.1">Prime</a>  st <font color="Olive" title="b4">i</font> <a href="nat_d.html#R1" title="NAT_D:pred.1">divides</a> <font color="Olive" title="b3">n</font> holds <br/><font color="Olive" title="b4">i</font> <a href="xxreal_0.html#R1" title="XXREAL_0:pred.1">&lt;=</a> <font color="Olive" title="b1">p</font> ) ) ) );<br/></span></div>
