Define the set E to be the set of even integers; that is, E={x∈Z:x=2k, where k∈Z}. Define the set F to be the set of integers that can be expressed as the sum of two odd numbers; that is, F={y∈Z:y=a+b, where a=2k_{1}+1 and b=2k_{2}+1}.Please prove E=F.
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