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(Solved): Suppose that f : X Y and g : Y Z are bijections of sets. Prove that the composite (g ...



Suppose that f : X −→ Y and g : Y −→ Z are bijections of sets.

Prove that the composite (g ◦ f ) : X −→ Z is also a bijection and that (g ◦ f )^−1 = f^−1 ◦ g^−1 : Z −→ X.



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