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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E18">Th21</font></span>: <a NAME="T21"><span class="comment"><font color="firebrick">:: EC_PF_2:21</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">i</font>, <font color="Olive" title="b2">j</font> being   <a href="int_1.html#NM1" title="INT_1:NM.1">Integer</a><br/>  for <font color="Olive" title="b3">p</font> being   <a href="newton.html#NM1" title="NEWTON:NM.1">Prime</a><br/>  for <font color="Olive" title="b4">gi</font>, <font color="Olive" title="b5">gj</font>, <font color="Olive" title="b6">gij</font>, <font color="Olive" title="b7">a</font> being   <a href="struct_0.html#NM1" title="STRUCT_0:NM.1">Element</a> of <span class="p1">(<span class="default"><a href="ec_pf_1.html#NK2" title="EC_PF_1:NK.2">GF</a> <font color="Olive" title="b3">p</font></span>)</span>  st <font color="Olive" title="b4">gi</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b1">i</font> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b3">p</font> &amp; <font color="Olive" title="b5">gj</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b2">j</font> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b3">p</font> &amp; <font color="Olive" title="b6">gij</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><font color="Olive" title="b1">i</font> <a href="xcmplx_0.html#K6" title="XCMPLX_0:func.6">-</a> <font color="Olive" title="b2">j</font></span>)</span> <a href="int_1.html#K5" title="INT_1:func.5">mod</a> <font color="Olive" title="b3">p</font> holds <br/><span class="p1">(<span class="default"><font color="Olive" title="b4">gi</font> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <font color="Olive" title="b7">a</font></span>)</span> <a href="algstr_0.html#K5" title="ALGSTR_0:func.5">-</a> <span class="p1">(<span class="default"><font color="Olive" title="b5">gj</font> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <font color="Olive" title="b7">a</font></span>)</span> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b6">gij</font> <a href="group_1.html#K8" title="GROUP_1:func.8">*</a> <font color="Olive" title="b7">a</font></div></div>
