Set equality with a function and its inverse.

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OhMyMarkov

Is $F^{-1}(F(E))\cap E=E$?

Thanks!

Last edited by a moderator: Dec 7, 2012

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Plato2

OhMyMarkov said:

Is $F^{-1}(F(E))\cap E=E$?

It is always the case that $E\subseteq F^{-1}(F(E))$

Last edited by a moderator: Dec 7, 2012

OhMyMarkov

Plato said:

It is always the case that $E\subseteq F^{-1}(F(E))$

Yes...