How to use parentheses with one logical conective?

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is (((a and b) and c) and d) equal to a and b and c without parentheses?

Why?

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If you mean, $\Big(\big((a\wedge b)\wedge c\big)\wedge d\Big) ~=~ a\wedge b\wedge c\wedge d$ , then this is indeed true due to the associative property of logical conjunction.