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Discrete Structures : Onto and One-to-one

Prove or disprove (find a counterexample) : If A C B and f : A --> B is an onto function (the range of f is all of B), then f is one-to-one and A =B.

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Solution Preview

Because, b belong to B and a belong to A,
f: A ->B <==> b = f(a)

Because, range (f) = B
Because, by ...

Solution Summary

A proof is provided.