Let (R, +, ) be a ring. If S, T1 and T2 are subrings of R, and

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Let (R, +, •) be a ring. If S, T1 and T2 are subrings of R, and S ⊂ T1 ∪ T2, prove that S ⊂ T1 or S ⊂ T2.
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