WebFeb 8, 2024 · Tao provides the hint and says that proof is related to the following axiom Power set axiom. Let X and Y be sets. Then there exists a set, denoted Y X , which consists of all the functions from X to Y , thus f ∈ Y X ⇔ ( f is a function with domain X and range Y). Replacement axiom. Let A be a set. WebMar 16, 2024 · Tao Analysis Solutions Analysis I exercises Solutions Exercise 2.2.2 March 16, 2024 Issa Rice 27 Comments Exercise statement Prove Lemma 2.2.10. Lemma 2.2.10. Let be a positive number. Then there exists exactly one natural number such that . Hints Use induction. How to think about the exercise
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