Question: Please give clear explanation with steps(proper proof) Consider the operation rest defined on languages with the alphabet by: rest(L)={ssLforany} Essentially, rest removes the first character

Please give clear explanation with steps(proper proof)

Consider the operation rest defined on languages with the alphabet by: rest(L)={ssLforany} Essentially, rest removes the first character from every string in the language that isn't empty. For example, rest ({,01,1001,00111})={1,001,0111} and rest ({0,1,00,10})= {,0} Prove that the class of regular languages is closed under rest

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