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<span class="kw">let </span><font color="Maroon" title="c1">a</font> be   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> for <font color="Olive" title="b1">p</font> being  <a href="newton.html#NM1" title="NEWTON:NM.1">Prime</a> holds   <a href="int_5.html#K2" title="INT_5:func.2">Lege</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">a</font> <a href="pepin.html#K2" title="PEPIN:func.2">^2</a> </span>)</span>,<font color="Olive" title="b1">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1</span><br/><span class="kw">let </span><font color="Maroon" title="c2">p</font> be   <a href="newton.html#NM1" title="NEWTON:NM.1">Prime</a>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide">  <a href="int_5.html#K2" title="INT_5:func.2">Lege</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">a</font> <a href="pepin.html#K2" title="PEPIN:func.2">^2</a> </span>)</span>,<font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1</span><br/>



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<font color="Maroon" title="c1">a</font> <a href="pepin.html#K2" title="PEPIN:func.2">^2</a>  <a href="int_5.html#R1" title="INT_5:pred.1">is_quadratic_residue_mod</a> <font color="Maroon" title="c2">p</font>
 
<span class="kw">by</span> <span class="lab"><a class="ref" href="int_5.html#T9" target="_self" title="INT_5:th.9">Th9</a></span>;<br/>
<span class="kw">hence </span><a NAME="E2:33"/>
 <a href="int_5.html#K2" title="INT_5:func.2">Lege</a> <span class="p1">(<span class="default"><font color="Maroon" title="c1">a</font> <a href="pepin.html#K2" title="PEPIN:func.2">^2</a> </span>)</span>,<font color="Maroon" title="c2">p</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> 1
 <span class="kw">by</span> <span class="lab"><a class="ref" href="int_5.html#D3" target="_self" title="INT_5:def.3">Def3</a></span>; <a class="txt" onclick="hs(this)" href="javascript:()"><span class="comment"><font color="Red">::  thesis: </font></span></a><span class="hide"> verum</span><br/>


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