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<span class="kw">let </span><font color="Maroon" title="c1">p</font> be   <a href="newton.html#NM1" title="NEWTON:NM.1">Prime</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"> ( <font color="Maroon" title="c1">p</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 2 implies  <a href="moebius3.html#K11" title="MOEBIUS3:func.11">ReciProducts</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">p</font> <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#K11" title="MOEBIUS3:func.11">ReciProducts</a> <font color="Maroon" title="c1">p</font> )</span><br/>

<span class="kw">assume </span><a NAME="E1:90"/>
<font color="Maroon" title="c1">p</font> <a href="xxreal_0.html#NR4" title="XXREAL_0:NR.4">&gt;</a> 2
 ; <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">  <a href="moebius3.html#K11" title="MOEBIUS3:func.11">ReciProducts</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">p</font> <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#K11" title="MOEBIUS3:func.11">ReciProducts</a> <font color="Maroon" title="c1">p</font></span><br/>

<a NAME="E2:90"/><span class="kw">then </span>
 not <font color="Maroon" title="c1">p</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 is  <a href="int_2.html#V1" title="INT_2:attr.1">prime</a> 
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="moebius3.html#T39" target="_self" onmouseover="rs('moebius3/T39')" onmouseout="rh()">P1NotPrime</a></span>;<br/>
<a NAME="E3:90"/><span class="kw">then </span>
 <a href="moebius3.html#K4" title="MOEBIUS3:func.4">SetPrimes</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">p</font> <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> <font color="Maroon" title="c1">p</font>
 
<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="E4:90"/>
 <a href="moebius3.html#K11" title="MOEBIUS3:func.11">ReciProducts</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">p</font> <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#K11" title="MOEBIUS3:func.11">ReciProducts</a> <font color="Maroon" title="c1">p</font>
 ; <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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