Question: 1. Let A C Rd. Define V to be the union of all open subsets of A. V is open by Proposition 20.1. Furthermore, if

1. Let A C Rd. Define V to be the union

1. Let A C Rd. Define V to be the union of all open subsets of A. V is open by Proposition 20.1. Furthermore, if U is an open subset of A then clearly U C V and so V is the largest open subset of A. Prove that intA is the largest open subset of A by proving that intA = V

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