For any two set `A` & `B`, prove that -

(a) `A\cap(B-A)=\phi`
(b) `A\cup(B-A)=A\cupB`
(c) If `A\cupB=A\capB` then prove that `A=B`
(d) If `A\capB^c=\phi` and `A^c\capB=\phi` then show that `A=B`
(e) `A-B=A-(A\capB)`