Definition AnnTyping_lc  := first lc_mutual.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_lc2 : forall G a A, AnnTyping G a A -> lc_tm A.