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Proof : Left Inverse Function and One-to-one

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Solution Summary

A proof involving a left inverse function and one to one is provided.

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it's enough to show that f is injective, for then it will have a left inverse

so, assume f(x) = f(y)

let S = {x}

then f(S) = {f(a) : a in S } = {f(a) : ...

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