prove the following statements hint: use contrapositive and demorgan’s laws to show that ∀x[b(x) c(x)]→∃xb(x) ∀xc(x)≡∃x[p(x)∗q(x)]←∀xp(x)∗∃xq(x) note: use ax instead of ∀x and ex instead of ∃x (no spaces before variable) example: "ap ed d(p,d)"