Question: 2. Let X1 and X2 be sets. Define functions m1 : X1X X2 - X1, 12 : X1X X2 - X2 by 71 (x 1

2. Let X1 and X2 be sets. Define functions m1 : X1X X2 - X1, 12 : X1X X2 - X2 by 71 (x 1 , X2 ) = X1, 12 (x1, X2) = X2 (x1 E X1, X2 E X2). Also let A be a set, and let f1 : A - X1, f2 : A - X2 be functions. Prove that there is exactly one function f : A - X1 X X2 such that m1 . f = f1 and n2 . f = f2. (You may find it helpful to draw a diagram showing all the sets and functions involved.) Last modified: Thursday, 17 March 2022, 12:47 AM

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