## Question

###### Prove that for all natural numbers n and m, if In Im then n = m Hint: Use induction 0n n.)-dditional InformationDefinition 8.1.1. Suppose and are sets. We'1l say that equinumerous with B if there is a function f: A B that is one-tO-one and onto. We 'Il write A B to indicate that A is equinumerous with B. For each natural number n, let In = {i â‚¬zt | i < n}. A set A is called finite if there is a natural number n such that I, A. Otherwise, A is infinite.

Prove that for all natural numbers n and m, if In Im then n = m Hint: Use induction 0n n.) -dditional Information Definition 8.1.1. Suppose and are sets. We'1l say that equinumerous with B if there is a function f: A B that is one-tO-one and onto. We 'Il write A B to indicate that A is equinumerous with B. For each natural number n, let In = {i â‚¬zt | i < n}. A set A is called finite if there is a natural number n such that I, A. Otherwise, A is infinite.

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