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Please solve this question 5. (5.1.52) Using a proof by induction, prove the following statement: Let A and B be sets such that A>B. Then

Please solve this question
5. (5.1.52) Using a proof by induction, prove the following statement: Let A and B be sets such that A>B. Then any function f:AB is not injective. [Hint: Note that B1, else f would not be a function. Then, since A>B,A2.]

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Please solve this question 5. (5.1.52) Using a proof by induction, prove the following statement: Let A and B be sets such that A>B. Then

Please solve this question 5. (5.1.52) Using a proof by induction, prove the following statement: Let A and B be sets such that A>B. Then any function f:AB is not injective. [Hint: Note that B1, else f would not be a function. Then, since A>B,A2.]

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Please solve this question
5. (5.1.52) Using a proof by induction, prove the following statement: Let A and B be sets such that A>B. Then any function f:AB is not injective. [Hint: Note that B1, else f would not be a function. Then, since A>B,A2.]