Let f : A -> B be a function and K subset of B. Prove that f(f^-1(K)) = K intersection Image(f).

How do we prove equations like these without using venn diagrams?�^^^6sugwerwerfwewe(K)) = K \ Im(f).

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- Sep 2nd 2010, 08:07 PMalphonsasSets and functions
Let f : A -> B be a function and K subset of B. Prove that f(f^-1(K)) = K intersection Image(f).

How do we prove equations like these without using venn diagrams?�^^^6sugwerwerfwewe(K)) = K \ Im(f). - Sep 2nd 2010, 09:51 PMFailure