Question: math Let X be a metric space and C = {F C X | E C F and F is closed}. If E = EVE'.

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Let X be a metric space and C = {F C X | E C F and F is closed}. If E = EVE'. Prove that: E = F. FEC Likewise, let O = {G C X | GC E and G is open}. Prove that: E = G. GEO

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