Suppose the domain of the propositional function P$($x$,$ y$)$ consists of pairs x and y$,$ where x is $1,2,$ or $3$ and y is $1,2,$ or $3.$ Write out these propositions using disjunctions and conjunctions.

a$.$x$$y P$($x$,$ y$)$

b$.$x$$y P$($x$,$ y$)$

c$.$x$$y P$($x$,$ y$)$

d$.$y$$x P$($x$,$ y$)$

Does the above procedure convert the predicate logic statements into their propositional logic form? Justify your answer.