Question: Let (G,*) be an arbitrary group. Prove that any element of this group has exactly one inverse. [Hint: assume x has two inverses y1,

Let (G,*) be an arbitrary group. Prove that any element of this

Let (G,*) be an arbitrary group. Prove that any element of this group has exactly one inverse. [Hint: assume x has two inverses y1, y2 and consider associativity for y1 *x * y2 ]

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