Question: Define sets S, T and E as below: S = {n Z | n 0 (mod 4)} T = {n Z |

Define sets S, T and E as below:

S = {n ∈ Z | n ≡ 0 (mod 4)}

T = {n ∈ Z | n ≡ 2 (mod 4)}

E = {n ∈ Z | n ≡ 0 (mod 2)}.

Prove that S × T ⊂ E × E.

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