Proposition BC_to_TRS_Mle bc: Mle (BC_to_TRS bc).

(* Specifications: *)
Lemma map_BC_to_TRS_Mle bcl: Mle (lm_to_ml (map BC_to_TRS bcl)).
Lemma Mnf_Morp_mono pl t i ma mr: Mmono (Mnew_fun >>= (Morp pl t i ma mr)).
Lemma Mnf_Mmrp_mono pll tl i ma mr: Mmono (Mnew_fun >>= (Mmrp pll tl i ma mr)).
Lemma Mnf_Merr_mono: Mmono (Mnew_fun >>= trs_error).
Lemma Mmr_mono_two n s: Mmono_two (Mmr n s).
Lemma Mmc_mono_two n s: Mmono_two (Mmc n s).