6. [7 points] Projection Consider a relation R=(A,B,C,D,E,G,H) and a set S={ABC,ACB,ADE,BD, BCA,EG} of functional dependencies that hold over R. Assume that R was decomposed into a set of relations which includes R1=(A,B,C). Compute the set of functional dependencies in S that hold over relation R1, i.e., compute the projection of S on R1. Show your work