Use Armstrong’s axioms to prove the derivation functional dependencies.

Use Armstrong’s axioms to prove the derivation functional dependencies
In each step of the proof, Armstrong’s axiom must be specified.

1. Consider a relation R=(A,B,C,D,E, F, G) that satisfies the following four FDs: A→B, A→C, CD→EF, F →G
   Using the Armstrong Axioms, find the minimal key for relation R.
2. Consider a relation R=(L, M, N, O, P, Q) that satisfies the following four FDs: L→ M, N→ LO, LQ→ P.Does NQ→PM hold?
   If so, show a formal proof.