Question
Let f : A → B, and let V ⊆ B. (a) Prove that V ⊇...
Let f : A → B, and let V ⊆ B.
(a) Prove that V ⊇ f(f−1(V )).
(b) Give an explicit example where the two sides are not equal.
(c) Prove that if f is onto then the two sides must be equal.
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Consider Theorem 3.25: Theorem 3.25. Let f : A → B, let S, T ⊆ A,...
Consider Theorem 3.25:
Theorem 3.25. Let f : A → B, let S, T ⊆ A, and let V , W
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1. f(S ∪T) = f(S)∪f(T)
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