Prove that a non-empty subset H of a group G is a subgroup of G iff a,b∈H then ab^-1∈H || #Education

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A non empty subset H of a group G is a subgroup of G if and only if,for any pair a,b€H,ab-1€H. A non empty subset H of a group G is a subgroup of G if and only if,for any pair a,b€H,ab-1€H.
A non-empty subset H of a group G Is a subgroup of G if and only if ab inverse ∈ H | NERDY CREW A non-empty subset H of a group G Is a subgroup of G if and only if ab inverse ∈ H | NERDY CREW
A non empty subset H of a group G is a subgroup of G iff a, b ∈ H ⇒ ab^(−1) ∈ H A non empty subset H of a group G is a subgroup of G iff a, b ∈ H ⇒ ab^(−1) ∈ H
A non-empty subset H of group G is a subgroup of G only if ab ∈ H ∀ a,b ∈ H & a^-1 ∀ a ∈ H theorem A non-empty subset H of group G is a subgroup of G only if ab ∈ H ∀ a,b ∈ H & a^-1 ∀ a ∈ H theorem
A non empty subset H of a group G is a subgroup of g iff ab^-1 belongs to H. A non empty subset H of a group G is a subgroup of g iff ab^-1 belongs to H.
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