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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Originally Posted by alphonsas 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? You prove equality of sets in two steps: first, you prove , then you prove . That approach should work reasonably well for your problem, provided you know how and , applied to sets, are defined. is just , of course.
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