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<b>let </b><font color="Maroon" title="c1">p</font> be   <a href="polynom1.html#NM1" title="POLYNOM1:NM.1">bag</a> of  <a href="newton.html#K13" title="NEWTON:func.13">SetPrimes</a> ;<br/><b>let </b><font color="Maroon" title="c2">n</font> be  non <a href="xboole_0.html#V1" title="XBOOLE_0:attr.1">empty</a> <a href="ordinal1.html#V7" title="ORDINAL1:attr.7">natural</a>  <a href="ordinal1.html#NM1" title="ORDINAL1:NM.1">number</a> ;<br/>



<b>assume </b><a NAME="E1:28"/><i><font color="Green" title="E26">A1</font></i>: 
( <font color="Maroon" title="c1">p</font> is <a href="int_7.html#V1" title="INT_7:attr.1">prime-factorization-like</a> &amp; <font color="Maroon" title="c2">n</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="nat_3.html#K8" title="NAT_3:func.8">Product</a> <font color="Maroon" title="c1">p</font> )
 ;<br/>

<a NAME="E2:28"/>
 <a href="nat_3.html#K8" title="NAT_3:func.8">Product</a> <span class="p1">(<span class="default"><a href="nat_3.html#NK15" title="NAT_3:NK.15">ppf</a> <font color="Maroon" title="c2">n</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="nat_3.html#K8" title="NAT_3:func.8">Product</a> <font color="Maroon" title="c1">p</font>
 
<b>by </b><i><a class="txt" href="int_7.html#E1:28"><i><font color="Green" title="E26">A1</font></i></a>, <a class="ref" href="nat_3.html#T61" title="NAT_3:th.61">NAT_3:61</a></i>;<br/>
<b>hence </b><a NAME="E3:28"/>
 <a href="nat_3.html#NK15" title="NAT_3:NK.15">ppf</a> <font color="Maroon" title="c2">n</font> <a href="pboole.html#R6" title="PBOOLE:pred.6">=</a> <font color="Maroon" title="c1">p</font>
 <b>by </b><i><a class="txt" href="int_7.html#E1:28"><i><font color="Green" title="E26">A1</font></i></a>, <a class="ref" href="int_7.html#T15" target="_self" title="INT_7:th.15">Th15</a></i>;<br/>


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