$.$

Let P$($m$,$ n$)$ be a predicate with respect to $\{1,2,3\}$ x $\{1,2,3\}$

The statements a $-$ d are given:

a$.$ P$(1,1)$A P$(1,2)$A P$(1,3)$

b$.$ P$(1,1)$ V P$(1,2)$ V P$(1,3)$

Which of the above allow us to conclude Vx$.$ By$.$ P$($x$,$ y$)?$

c$.$ P$(1,1)$A P$(2,2)$AP$(3,3)$

d$.$ P$(1,1)$ V P$(2,2)$ V P$(3,3)$