Consider an arbitrary mapping f : X -->Y. Suppose that f is a one-to-one onto. Prove the main property of the second set mapping: f^(-1)(Y) = X

Topology
Sets and Functions (XXVIII)
Functions

Consider an arbitrary mapping f : X --> Y. Suppose that f is a one-to-one onto.
Prove the main property of the second set mapping:

f^(-1)(Y) = X

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