Question: Consider the statement (formula) (3x) A(x) A(z) where z is a new variable not free (not an input variable) in A(x). Find now a

Consider the statement (formula) (3x) A(x) A(z) where z is a new

Consider the statement (formula) (3x) A(x) A(z) where z is a new variable not free (not an "input variable") in A(x). Find now a specific example of A(x) over the set N and choose a specific value of z EN so that (1) becomes false (meaning we cannot prove it, since proofs start from true axioms and preserve truth at every step). (1)

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