Question: For this problem set, it may help to use results we proved in class; you may also cite from Chapt…
Show transcribed image text For this problem set, it may help to use results we proved in class; you may also cite from Chapter 2 of Tao's Analysis I, which is posted on Moodle A) Prove that addition is associative via the Peano axioms. That is, show that for any natural numbers , m, and n, (mn)-m) n Hint: Use induction on n and treat l and m as fixed. B) Prove that for any natural numbers m and n, mメm + n. Hint: Do this in two steps. First, fix n- 1 and use induction on m. Second, use induction on n.
For this problem set, it may help to use results we proved in class; you may also cite from Chapter 2 of Tao's Analysis I, which is posted on Moodle A) Prove that addition is associative via the Peano axioms. That is, show that for any natural numbers , m, and n, (mn)-m) n Hint: Use induction on n and treat l and m as fixed. B) Prove that for any natural numbers m and n, mメm + n. Hint: Do this in two steps. First, fix n- 1 and use induction on m. Second, use induction on n.
