In case of multiple of the choices being correct, select all for full marks. Given a schemar $(\mathrm{A}, \mathrm{B}, \mathrm{C}, \mathrm{D}, \mathrm{E}, \mathrm{F})$ and the functional dependencies $A \rightarrow B, A B \rightarrow C, B D \rightarrow E, F \rightarrow A$, which of the following functional dependencies are implied:
- $A E \rightarrow F$
- $A \rightarrow C$
- $A D \rightarrow E$
- $A B F \rightarrow E$
