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 AnnToplevel_lc : forall c s, binds c s an_toplevel -> lc_sig_sort s.