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Fill in the blank. Let G be a group G, and let H be a proper subgroup in G. If for all x, y ∈ G, and h ∈ H we know that xh = hy ∈ H implies that x = y, then ________________.

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Fill in the blank. Let G be a group G, and let H be a proper subgroup in G. If for all x, y ∈ G, and h ∈ H we know that xh = hy ∈ H implies that x = y, then ________________.






 
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