Function is a change of variables?

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brunob
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Hi there!

The question is: if I have to prove that a function is a change of variable it is sufficient to prove that the function is a diffeomorphism? i.e. prove that the function is bijective, differentiable, and its inverse is differentiable?

Thanks!
 
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What, exactly, is your definition of "change of variables"? How does it differ from a general function?