In a schema with attributes $A, B, C, D$ and $E$ following set of functional dependencies are given
- $A \rightarrow B$
- $A \rightarrow C$
- $CD \rightarrow E$
- $B \rightarrow D$
- $E \rightarrow A$
Which of the following functional dependencies is NOT implied by the above set?
- $CD \rightarrow AC$
- $BD \rightarrow CD$
- $BC \rightarrow CD$
- $AC \rightarrow BC$