Let G be a group, H a subgroup of G, and $g_1, g_2 \in G$. Prove that $g_1H = g_2H$ if and only if $g_1 \in g_2H$.
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Let G be a group, H a subgroup of G, and g1, g2 ∈ G. Prove that g1H = g2H if and only if g1 ∈ g2H. Show more…
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