Exact Freedom and Relation Transport of Algebraic Seeds Under Exponentiation

For an algebraic tuple A, Lindemann–Weierstrass gives trdeg Q(e^A) = ldim_Q(A), and every algebraic relation among the e^{a_i} is generated by X^m − 1 for integer relations m of A (so Schanuel's δ(A) = 0 holds on algebraic seeds). The paper presents this as a structural corollary of L–W, not a new theorem.