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Mathematics, 06.04.2020 02:22 mikecampbellashleyca

Let A and B be sets, let R and S be relation on A and B, respectively, and let f:A be a function. The function f is relation preserving if x R y if and only if f(x) S f(y), for all x, y∈A. (1) suppose that f is bijective and relation preserving. Prove that f^(-1) is relation preserving.

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