Prove the following generalisation of the Chinese Remainder Theorem. Show

that ifm1;m2;m3 are pairwise coprime integers anda1 inZ/m1,a2 inZ/m2,

a3 inZ/m3 then there is a uniquex inZ/(m1m2m3) such that

x =a1 modm1; x =a2 modm2; x =a3 modm3:

Confused!!