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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E9">lem4</font></span>: <a NAME="T4"><span class="comment"><font color="firebrick">:: LAGRA4SQ:4</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being   <a href="abian.html#NV2" title="ABIAN:NV.2">odd</a>   <a href="int_2.html#V1" title="INT_2:attr.1">prime</a>  <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b2">s</font> being   <a href="ordinal1.html#NM6" title="ORDINAL1:NM.6">Nat</a><br/>  for <font color="Olive" title="b3">j1</font>, <font color="Olive" title="b4">j2</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a>  st 2 <a href="xcmplx_0.html#K3" title="XCMPLX_0:func.3">*</a> <font color="Olive" title="b2">s</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">p</font> <a href="nat_1.html#K1" title="NAT_1:func.1">+</a> 1 &amp; <font color="Olive" title="b3">j1</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="lagra4sq.html#K2" title="LAGRA4SQ:func.2">LAG4SQf</a> <font color="Olive" title="b2">s</font></span>)</span> &amp; <font color="Olive" title="b4">j2</font> <a href="hidden.html#R2" title="HIDDEN:pred.2">in</a>  <a href="relset_1.html#K2" title="RELSET_1:func.2">rng</a> <span class="p1">(<span class="default"><a href="lagra4sq.html#K2" title="LAGRA4SQ:func.2">LAG4SQf</a> <font color="Olive" title="b2">s</font></span>)</span> &amp;  not <font color="Olive" title="b3">j1</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">j2</font> holds <br/><font color="Olive" title="b3">j1</font> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b1">p</font> <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a> <font color="Olive" title="b4">j2</font> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b1">p</font></div></div>
