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The different functions that we see the Father, Son, and Holy Spirit performing are simply outworkings of an eternal relationship between the three persons, one that has always existed and will exist for eternity. God has always existed as three distinct persons: Father, Son, and Holy Spirit. These distinctions are essential to the very nature of God Himself, and they could not be otherwise… It may be said that there are no differences in deity, attributes, or essential nature between the Father, Son, and Holy Spirit. Each person is fully God and has all the attributes of God. The only distinctions between the members of the Trinity are in the ways they relate to each other and to the creation. In those relationships they carry out roles that are appropriate to each person.

Wayne Grudem