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6. Let C be a non-empty, disjoint collection of open intervals. This means every I E C is an open interval and if I, J

6. Let C be a non-empty, disjoint collection of open intervals. This means every I E C is an open interval and if I, J E C and I # J, then In J = 0. Prove that either C is a finite collection or is a countably infinite collection

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