Question: Let (G,*) be a group show that: 1- for all a,b G it holds for: (a^{1} )^{1} = a and (a b)^{1} = b^{1} a^{1}

Let (G,*) be a group show that:

1- for all a,b G it holds for:

(a^{1} )^{1} = a and (a b)^{1} = b^{1} a^{1}

2-For all a, b, b' G the cancellation rules apply

a b = a b' b = b' and

b a = b' a b = b'

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