An online degree programme offers the following courses: Level I: Mathematics, Statistics; Level II: Machine Learning Foundations, Mathematical Thinking; Level III: Deep Learning, Machine Learning Techniques, Advanced Algorithms. Every course in Level I is a prerequisite for every course in Level II, and every course in Level II is a prerequisite for every course in Level III. Let be the set of all these courses and define two relations on : and are courses in the same level and is a prerequisite for . Which of the following statements is/are correct?