Let P(m, n) be the statement m divides n, where the domain for both variables consists of

Question:

Let P(m, n) be the statement "m divides n," where the domain for both variables consists of all positive integers. (By "m divides n" we mean that n = km for some integer k.) Determine the truth values of each of these statements.
a) P(4, 5) b) P(2, 4)
c) ∀m ∀n P(m, n)
d) ∃m ∀n P(m, n)
e) ∃n ∀mP(m, n)
f) ∀nP(1, n)