theorem TH40: :: FIELD_11:40

for F being Field
for g being bijective Function of (nonConstantPolys F),(card (nonConstantPolys F))
for I being maxIdeal of (nonConstantPolys (g,F)) -Ideal
for p being Element of the carrier of (Polynom-Ring F)
for n being Element of NAT holds ((PolyHom (emb (F,I,g))) . p) . n = Class ((EqRel ((Polynom-Ring ((card (nonConstantPolys F)),F)),I)),((p . n) | ((card (nonConstantPolys F)),F)))