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 decide_Value_mutual : forall a, lc_set_tm a -> ({ Value a } + { not (Value a) }) * ({ CoercedValue a } + { not (CoercedValue a) }).