proof of two step subgroup test
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[Two-Step Subgroup Test] Let H be a non-empty subset of a group G. Then H is a subgroup if the two conditions given below hold. 1. For each a, b ∈ H, ab ∈ H (i.e., H is closed with respect to the binary operation of G).
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Step-by-step explanation:
Let H be a non-empty subset of a group G. Then H is a subgroup if the two conditions given below hold. 1. For each a, b ∈ H, ab ∈ H (i.e., H is closed with respect to the binary operation of G).
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