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<a NAME="E1:46"/>
<a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 is  not   <a href="newton.html#NM1" title="NEWTON:NM.1">Prime</a>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="int_2.html#D4" onmouseover="rs('int_2/D4')" onmouseout="rh()">INT_2:def 4</a></span>;<br/>
<a NAME="E2:46"/><span class="kw">then </span>
 <a href="moebius3.html#K4" title="MOEBIUS3:func.4">SetPrimes</a> <span class="p1">(<span class="default"><a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1</span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="moebius3.html#K4" title="MOEBIUS3:func.4">SetPrimes</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="moebius3.html#T36" target="_self" onmouseover="rs('moebius3/T36')" onmouseout="rh()">PrimesSet</a></span>;<br/>
<span class="kw">hence </span><a NAME="E3:46"/>
(  <a href="moebius3.html#K4" title="MOEBIUS3:func.4">SetPrimes</a> <a href="numbers.html#K5" title="NUMBERS:func.5">0</a> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  &amp;  <a href="moebius3.html#K4" title="MOEBIUS3:func.4">SetPrimes</a> 1 <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <a href="xboole_0.html#K1" title="XBOOLE_0:func.1">{}</a>  )
 ; <a class="txt" onmouseover="tooltip.show('hs',this)" onmouseout="tooltip.hide()" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="firebrick">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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