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In case of noun :-Nominative : Peter.Possessive : Peter'sDouble possessive : Of Peter's.It is correct.
In case of pronoun :-Nominative : YouPossessive : YourDouble possessive : Yours*Treble possessive : of yours.Is it ok?
This is what I have just found on an online grammar website. Are possessive pronouns double possessives and do they (with 'of') form treble possessive?
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This is the paradigm that most people are more familiar with.

1) Nominative : Peter / you
2) Possessive determiner : Peter's / your
(belonging to Peter / belonging to you)
3) Possessive pronoun : Peter's / yours
(the one that belongs to Peter / the one that belongs to you)
4) "Double possessive" : of Peter's / of yours
("of" + the possessive pronoun)
(of those that belong to Peter / of those that belong to you)


1) Peter has a pen. / You have a pen.
2) This is Peter's pen. / This is your pen.
3) This pen is Peter's. / This pen is yours.
4) Is Tom a friend of Peter's? / Is Tom a friend of yours?


I have never heard of a treble possessive.

[ In any case, it's not always a good idea to put your effort into learning terminology when you learn a new language. Reading and speaking will help you master English much sooner than finding all the different terms that are used to describe grammatical structures. ]

CJ

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I will not wear any coat of yours. (Yours is the possessive pronoun.)
I will not wear any coat of John's. (John's is the possessive form of the noun.)
I will not wear your coat. (Your is the determiner.)
I will not wear John's coat.