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Prove or disprove the following statement: For all de Z+, there exists n E Z such that [] = [2].

Prove or disprove the following statement:
$For all ( d in mathbb{Z}^{+} ), there exists ( n in mathbb{Z} ) such that ( leftlfloorfrac{n+1}{d}ightfloor=$

For all de Z+, there exists n E Z such that [] = [2].

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