finding all of the candidate keys.

Would someone be so kind to look an see if what I have done below is correct. I would really appriciate it.

Find all of the candidate keys

R(ABCDEF)
F={AB > C, C > A, BC > D, ACD > B, D > EF, BE > C, CF > BD, CE > A}

A = {A}
B = {B}
C= {C,A}
D= {D,E,F}
E = {E}
F= {F}
______________

AB = {A,B,C,D,E,F}
AC={A,C}
AD={A,D,E,F}
AE={A,E}
AF={A,F}
BC={B,C,A,D,E,F}
BD={B,C,A,D,E,F}
BE={B,C,A,D,E,F}
BF={B,F}
CD={C,A,D,E,F}
CE={C,A,E}
CF={C,A,E,B,D}
DE={D,E,F}
DF={D,E,F}
EF={E,F}
________________

ABC={A,B,C,D,E,F}
ACD={A,B,C,D,E,F}
ADE={A,D,E,F}
AEF={A,E,F}
BCD={A,B,C,D,E,F}
BDE={A,B,C,D,E,F}
BEF={A,B,C,D,E,F}
CDE={A,B,C,D,E,F}
CEF={A,B,C,D,E,F}
DEF={D,E,F}
________________

KEYS:
AB
BC
BD
BE
ACD
ABC
BCD
BDE
BEF
CDE
CEF