The unit-slack case of the sharp Feige main theorem

All probabilistic, analytic, and geometric inputs for the δ = 1 specialization of Theorem 1.1 are discharged here.

theorem Feige.sharp_unit_slack_feige_complete {n : ℕ} (hn : 0 < n) : IsOptimalFixedDimensionalFeigeBound n (sharpConstant n)

The fully assembled δ = 1 sharp fixed-dimensional bound from Theorem 1.1, in every positive dimension.