I need this solution to check my answers. I will give a thumbs up for clear, correct work. Thanks

For this question, assume the following relational schema. R(A, B, C, D) S(A, B, E) T(BD) Given this, determine whether the following identities hold. If they do hold, prove it. If they don't, exhibit a specific counterexample. You may assume all columns hold the same type of data (e.g. integers). 1. OA=B(RAS) = 0 A=B(R) S. 2. OA=B (ITA,B,D (R) (ITA,B,D (S = T))) = (ITA,B,D(0A=B(R)) ~ T) PE-D(S). 3. OB=3AD=2(R S) = (S OB=3AD=2(T)) ~ R. 4. NA,B,D(R) (ITA,B (S) ~ T) = (TTA,B,D(R) PE-D(S)) - T