Prove that the inverse elements of a group and subgroup are the same (ILIEKMATHPHYSICS)

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Proof: Group Element is the Inverse of its Inverse | Abstract Algebra Proof: Group Element is the Inverse of its Inverse | Abstract Algebra
theorem- 2:The inverse of any element of a subgroup is same as the group. theorem- 2:The inverse of any element of a subgroup is same as the group.
Groups: The Inverse of a Group Element is Unique Groups: The Inverse of a Group Element is Unique
Proof: The inverse of any element of a subgroup is the same as the inverse of that element in group Proof: The inverse of any element of a subgroup is the same as the inverse of that element in group
All About Subgroups | Abstract Algebra All About Subgroups | Abstract Algebra