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<div>:: <span class="kw">deftheorem </span><span class="lab"><font color="Green" title="E41">Def8</font></span>   defines <a href="ec_pf_2.html#K8" title="EC_PF_2:func.8">compell_ProjCo</a> <a onclick="hs(this)" href="javascript:()">EC_PF_2:def 8 : <br/></a><span> 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">b<sub>3</sub></font> being   <a href="funct_2.html#NM1" title="FUNCT_2:NM.1">Function</a> of <span class="p1">(<span class="default"><a href="ec_pf_1.html#K6" title="EC_PF_1:func.6">EC_SetProjCo</a> (<span class="p2">(<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="p2">(<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>)</span>)</span>,<span class="p1">(<span class="default"><a href="ec_pf_1.html#K6" title="EC_PF_1:func.6">EC_SetProjCo</a> (<span class="p2">(<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="p2">(<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>)</span>)</span> holds <br/> ( <font color="Olive">b<sub>3</sub></font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a>  <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>) iff  for <font color="Olive" title="b4">P</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>) holds  <font color="Olive">b<sub>3</sub></font> <a href="funct_2.html#K3" title="FUNCT_2:func.3">.</a> <font color="Olive" title="b4">P</font> <a href="hidden.html#R1" title="HIDDEN:pred.1">=</a> <span class="p1"><a href="domain_1.html#K4" title="DOMAIN_1:func.4">[</a><span class="default"><span class="p2">(<span class="default"><font color="Olive" title="b4">P</font> <a href="ec_pf_2.html#K4" title="EC_PF_2:func.4">`1_3</a></span>)</span>,<span class="p2">(<span class="default"><a href="algstr_0.html#K4" title="ALGSTR_0:func.4">-</a> <span class="p3">(<span class="default"><font color="Olive" title="b4">P</font> <a href="ec_pf_2.html#K5" title="EC_PF_2:func.5">`2_3</a></span>)</span></span>)</span>,<span class="p2">(<span class="default"><font color="Olive" title="b4">P</font> <a href="ec_pf_2.html#K6" title="EC_PF_2:func.6">`3_3</a></span>)</span></span><a href="domain_1.html#K4" title="DOMAIN_1:func.4">]</a></span> );<br/></span></div>
