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$X$ is a normed linear space.

$f_{0},f_{1},f_{2}...f_{n}$ are bounded linear functional.

$\bigcap_{k=1}^{n}ker(f_{k})\subset ker(f_{0})$

Proof $f_{0}\in span(f_{1},f_{2}...f_{n})$

How can I solve it?

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