proposition: Lemma degree_exp_wrt_exp_close_exp_wrt_exp_rec_inv : forall e1 x1 n1, degree_exp_wrt_exp (S n1) (close_exp_wrt_exp_rec n1 x1 e1) -> degree_exp_wrt_exp n1 e1.
proof: Proof. pose proof degree_exp_wrt_exp_close_exp_wrt_exp_rec_inv_mutual as H; intuition eauto. Qed.
imports: Coq.Logic.FunctionalExtensionality Coq.Program.Equality Metalib.Metatheory Metalib.LibLNgen Stlc