
theorem help2m:
for F being Field,
    E being FieldExtension of F
for T being non empty finite Subset of E
for x being T-evaluating Function of (card T),E
holds the carrier of RAdj(F,T) =
      the set of all Ext_eval(p,x) where p is Polynomial of (card T),F
proof
let F be Field, E be FieldExtension of F, T be non empty finite Subset of E,
    x be T-evaluating Function of (card T),E;
thus the carrier of RAdj(F,T)
   = the carrier of Image_hom_Ext_eval(x,F) by lemphi4
  .= rng hom_Ext_eval(x,F) by defIm
  .= the set of all Ext_eval(p,x) where p is Polynomial of (card T),F
     by lemphi1;
end;
