Prove that the following two dependency sets are equivalent.

F1 = { A,B -> C,D,E,F,G A -> C B -> D,E,F E -> F } F2 = { A,B -> G A -> C B -> D,E,F E -> F } 

That is:

A [2 marks]: Show that dependency A,B -> C,D,E,F,G in F1 is a logical consequence of the dependencies in F2 using the 6 FD inference rules.

B [2 marks]: Show that dependency A,B -> G in F2 is a logical consequence of the dependencies in F1 using the 6 FD inference rules.