COULD YOU ONLY DO A$,$ C$,$ F

Exercise $4\mathrm{.}3$ Show that:

a$){}_{PC}$AAx$(FxGx)$AAx$(GxFx)$

b$){}_{PC}$AAx$(FxvvGx)(AAxFxvvEExGx)$

c$)$ EEx$(FxvvGx),$AAx$(Fx(H{x}^{{?}^{?}}Ix)),$AAx$(Gx(JxvvKx)),$ AAx$((HxvvIxvvJx)Lx){}_{PC}$EExLx

d$)$ Rab${}_{PC}$EExR$$

e$)**Fx{}_{PC}$AAxFx

f$){}_{PC}$AAx$(Fx$EEy$(G{y}^{{?}^{?}}Rxy))$EEy$(G{y}^{{?}^{?}}$AAx$(FxRxy))$

g$)$ AAxAAyAAz$((Rx{y}^{{?}^{?}}Ryz)Rxz),$AAxEEyRxy${}_{PC}$EExR$$