Definition AnnPropWff_lc := second lc_mutual.
Definition AnnIso_lc     := third lc_mutual.
Definition AnnDefEq_lc   := fourth lc_mutual.
Definition AnnCtx_lc     := fifth lc_mutual.

Lemma AnnTyping_lc1 : forall G a A, AnnTyping G a A -> lc_tm a.