theorem Th48: :: EC_PF_2:48
for p being 5 _or_greater Prime
for z being Element of EC_WParam p
for P, Q being Element of EC_SetProjCo ((z `1),(z `2),p) st P `3_3 <> 0 & Q `3_3 <> 0 holds
( rep_pt P = (compell_ProjCo (z,p)) . (rep_pt Q) iff P _EQ_ (compell_ProjCo (z,p)) . Q )