Discrete Mathematics

Let ๐(๐ฅ) and ๐(๐ฅ) be predicates and suppose ๐ท is the domain of ๐ฅ. For the given pair of statement forms determine whether (a) the two forms have the same truth value for every choice of ๐(๐ฅ),๐(๐ฅ), and ๐ท, or (b) there is a choice of ๐(๐ฅ),๐(๐ฅ), and ๐ท for which the forms have opposite truth values.

โ๐ฅ โ ๐ท | (๐(๐ฅ) โง ๐(๐ฅ)) ๐ฃ๐๐๐ ๐ข๐ (โ๐ฅ โ ๐ท | ๐(๐ฅ)) โง (โ๐ฅ โ ๐ท | ๐(๐ฅ))

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