MHB Set equality with a function and its inverse.

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

Thanks!
 
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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:
Plato said:
It is always the case that $E\subseteq F^{-1}(F(E))$

Yes...
 

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