Transformation rules. (15 points) Review Rule 11 carefully (which actually.contains quite a few rules). Note: Of course El and E2 have to be union compatible. Now do the following: (a) Prove (or justify) the following rule is true (in general): Note: Simply using examples to show the rules are correct is not acceptable (b) Prove (or justify) the following rule is true (in general): Note: Simply using examples to show the rules are correct is not acceptable (c) Provide good counterexample(s) to show that in general the following is NOT true Transformation rules. (15 points) Review Rule 11 carefully (which actually.contains quite a few rules). Note: Of course El and E2 have to be union compatible. Now do the following: (a) Prove (or justify) the following rule is true (in general): Note: Simply using examples to show the rules are correct is not acceptable (b) Prove (or justify) the following rule is true (in general): Note: Simply using examples to show the rules are correct is not acceptable (c) Provide good counterexample(s) to show that in general the following is NOT true