Bonjour Bernadette,Very interesting question! The expression 'être à' means literally 'to be to <someone>', where 'le mien / le tien...' mean 'mine/yours...'.Therefore they are synonymous, although you don't use them in the same way:e.g. Ce livre est à moi. (This book is mine.)C'est le mien. (It's mine)
You can also have a look at our two related lessons:https://french.kwiziq.com/revision/grammar/how-to-express-mine-yours-his-hers-le-mien-le-tien-le-sien-etc-singular-possessive-pronounshttps://french.kwiziq.com/revision/grammar/how-to-express-possession-with-etre-a
A bientôt !
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