Rewrite each sentence according to the equivalence principle cited. Don't make any changes to the sentences except for principle cited, and for some you must make only the changes that are allowed! 1. ~AxP(x)vP(a) DeMQ ~(AxP(x))vP(a) 2. Ex(P(x)&R(x,a)) VS x with y Ey(P(y)&R(y,a)) 3. ExAyR(x,y)&AyP(y) VS y with x EyAxR(x,y)&AxP(x) 4. ~(P(a)vEy~P(y)) DeMQ ~P(a)&AxEyP(y) 5. ~Ax~P(x)vP(a) BDC ExP(x)vP(a) 6. ~(P(a)vEy~P(y)) DeM ~P(a)&AxEyP(y) 7. Ax(M(x)->~N(x)) BDC Ax(M(x)vN(x)) 8. Ax~P(x)vP(a) Null ~P(a)vP(a)