这题到底要干嘛，证明吗，能否请各位用中文给我讲一下该怎么做。
Prove，from first principles that if a relation R is transitive then the strict preference relation P derived from it is also transitive
Note that we are not assuming that R is complete or any other properties for that matter.
Hint:It should be fairly straightforward to show one part of this the other part may require a proof by contradiction