Require Export FcEtt.ett_ind.
Require Export FcEtt.ett_par. (* FIXME: the axioms about toplevel shouldn't be there *)
Require Export FcEtt.erase_syntax.  (* lc_erase *)
Module fc_dec_aux (wf : fc_wf_sig) (weak : fc_weak_sig) (subst : fc_subst_sig) (unique: fc_unique_sig).
(**** Decision procedures for a few auxiliary relations ****)

Lemma Path_dec : forall a, lc_tm a -> { T | Path T a } + { (forall T, not (Path T a)) }.