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<div><span class="kw">theorem </span><span class="lab"><font color="Green" title="E47">Th45</font></span>: <a NAME="T45"><span class="comment"><font color="firebrick">:: EC_PF_2:45</font></span><br/></a><div class="add"> for <font color="Olive" title="b1">p</font> being  5 <a href="ec_pf_2.html#V1" title="EC_PF_2:attr.1">_or_greater</a>  <a href="newton.html#NM1" title="NEWTON:NM.1">Prime</a><br/>  for <font color="Olive" title="b2">z</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ec_pf_2.html#K1" title="EC_PF_2:func.1">EC_WParam</a> <font color="Olive" title="b1">p</font><br/>  for <font color="Olive" title="b3">P</font>, <font color="Olive" title="b4">Q</font> being    <a href="subset_1.html#M2" title="SUBSET_1:mode.2">Element</a> of  <a href="ec_pf_1.html#K6" title="EC_PF_1:func.6">EC_SetProjCo</a> (<span class="p1">(<span class="default"><font color="Olive" title="b2">z</font> <a href="ec_pf_2.html#K2" title="EC_PF_2:func.2">`1</a></span>)</span>,<span class="p1">(<span class="default"><font color="Olive" title="b2">z</font> <a href="ec_pf_2.html#K3" title="EC_PF_2:func.3">`2</a></span>)</span>,<font color="Olive" title="b1">p</font>)  st <font color="Olive" title="b3">P</font> <a href="ec_pf_2.html#K6" title="EC_PF_2:func.6">`3_3</a>  <a href="hidden.html#NR2" title="HIDDEN:NR.2">&lt;&gt;</a>  <a href="numbers.html#K5" title="NUMBERS:func.5">0</a>  holds <br/>( ( <font color="Olive" title="b3">P</font> <a href="ec_pf_2.html#K4" title="EC_PF_2:func.4">`1_3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">Q</font> <a href="ec_pf_2.html#K4" title="EC_PF_2:func.4">`1_3</a>  &amp; <font color="Olive" title="b3">P</font> <a href="ec_pf_2.html#K6" title="EC_PF_2:func.6">`3_3</a>  <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">Q</font> <a href="ec_pf_2.html#K6" title="EC_PF_2:func.6">`3_3</a>  ) iff ( <font color="Olive" title="b3">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <font color="Olive" title="b4">Q</font> or <font color="Olive" title="b3">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1">(<span class="default"><a href="ec_pf_2.html#K8" title="EC_PF_2:func.8">compell_ProjCo</a> (<font color="Olive" title="b2">z</font>,<font color="Olive" title="b1">p</font>)</span>)</span> <a href="ec_pf_2.html#K9" title="EC_PF_2:func.9">.</a> <font color="Olive" title="b4">Q</font> ) )</div></div>
