逻辑定理证明8 和 9 题 啦

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逻辑定理证明8 和 9 题 啦

逻辑定理证明8 和 9 题 啦
逻辑定理证明

8 和 9 题 啦 

逻辑定理证明8 和 9 题 啦
8.Suppose the closure of A ( denoted by Cl(A) ) is disconnected then Cl(A)=PUQ ,where P and Q are both open and disjoint.Of course A is contained in PUQ for Cl(PUQ)=Cl(A) and PUQ is the maximal open subset of Cl(A).let P'=P∩A,Q'=Q∩A,both P' and Q' are disjoint and open certainly,then A=P'UQ' which implies A is disconnected.

可以翻译一下么