Answer to Question #35058 in Real Analysis for Matthew Lind

Question #35058

Let f(x,y): R^2-->R, and for each fixed y, let inf(x)f(x,y) denote the greatest lower bound of the set of numbers {f(x,y)|x element of R}. Show that

infx(inf(y)f(x,y)) = infy(inf(x)f(x,y)).

noting that inf(y)f(x,y) <= f(x,y) for all x and y.

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