Consider the open statement
p(x, y):y – x = y + x2
where the universe for each of the variables x, y comprises all integers. Determine the truth value for each of the following statements.
a) p(0, 0)
b) p(1, 1)
c) p(0, 1)
d) ∀y p(0, y)
e) ∃y p(1, y)
f) ∀x ∃y p(x, y)
g) ∃y ∀x p(x, y)
h) ∀y ∃x p(x, y)
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