Suppose A and B are sets, and f and g are functions with f W A ! B and g W B ! A. Prove

Chapter 26, Problem 26.7

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Suppose A and B are sets, and f and g are functions with f W A ! B and g W B ! A. Prove: If g f D idA and f g D idB, then f is invertible and g D f 1 . Note: This result is a converse to Proposition 26.9.

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