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 ****)
Ltac eauto_lc :=
eauto using lc_tm_of_lc_set_tm,
lc_co_of_lc_set_co,
lc_constraint_of_lc_set_constraint.

Lemma binds_dec_ax : forall x G, {A, B | binds x (Ax A B) G} + {(forall A B, ¬ binds x (Ax A B) G)}.