Require Import List Arith Omega.

From Undecidability Require Import ILL.Definitions.

From Undecidability.ILL.Ll Require Import ill eill.

Section EILL_ILL.

  Theorem EILL_ILL_PROVABILITY : EILL_PROVABILITY ⪯ ILL_PROVABILITY.
  Proof.
    exists (fun p => match p with (Si,Ga,p) => (map (fun c => ![i c]) Si ++ map £ Ga,£ p) end).
    intros ((Si,Ga),p); apply G_eill_correct.
  Qed.

End EILL_ILL.