Section in_nat.
Notation "〚 x 〛" := (nat2Zp Hak x).  (* congruence class modulo alpha_nat b k *)

Theorem alpha_nat_mnlk_eq : 〚 alpha_nat b m 〛 = 〚 alpha_nat b n 〛⊗ expo l〚 alpha_nat b (1+k) 〛.
End in_nat.