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    Prove the following generalisation of the Chinese Remainder Theorem. Show that if m_1, m_2, m_3 are pairwise coprime integers and
    a_1 e Z/m_1,
    a_2 e Z/m_2,
    a_3 e Z/m_3
    then there is a unique x e Z/_m_1m_2m_3
    such that
    x=a_1 mod m_1
    x=a_2 mod m_2
    x=a_3 mod m_3
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    managed to do it fine on my own actually now thanks!! just spent a bit longer looking at chinese remainder theorem and it all clicked! thanks anyway
 
 
 
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