Please provide as much detail as possible, I am gonna be studying for my exam and I don't get much of this course, so please provide a very detail solution so I can study and understand. I will upvote the detailed solution. Thanks!

By induction on the length of derivations prove that PRC P. Using the preceding problem conclude that PR C R By induction on the length of derivations prove that PRC P. Using the preceding problem conclude that PR C R