In short, if there exists anything at all attributable to you and only you, then you are you and not anyone else.
Consider two molecules of water (i.e., two atoms of hydrogen bonded to an atom of oxygen): water-molecule A and water-molecule B are distinguishable if and only if A and B have distinct spacial coordinates at any given time; knowing their inherent physical characteristics (e.g., mass, charge, electronegativity, polarity, boiling point, melting point, specific heat, etc.) is not enough information to say [(A = A) and (A = not B)].
An even simpler example: we can define an infinite number of distinct lines on the xy-plane using just two characteristics; i.e., slope and y-intercept (y=mx+b, where m represents slope and b represents the y-value of the y-intercept). For two y=mx+b equations, if either the m or the b differ, then the two equations each define a distinct line. To parallel the premise of your question: [line 1 = line 1] and [line 1 = not line 2] because line 1 is defined by something by which line 2 is not and line 2 is defined by something by which line 1 is not.