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Check Functional Dependency equivalent:

Let,

To check equivalence first we check G ⊆ F (F cover G) and then check F ⊆ G (G cover F). Actually, we do a membership test (see Membership Test), pick up the Functional Dependency of G, and check the membership test to F (G ⊆ F), and doing the same thing in the case of F ⊆ G.

 

G ⊆ F

F = {A → B, AB → C, D → AC, D → E}

⊨A → BC

⊨D → AE

 

Here F ≡ G.

F ⊆ G

G = {A → BC, D → AE}

⊨A → B

⊨AB → BC

⊨D → AC

⊨D → E