/5 width=1 by lifts_sort, lifts_lref, lifts_bind, lifts_flat/ qed.
lemma cpr_ApplOmega_12 (h) (G) (L) (s0) (s): ⦃G,L⦄ ⊢ ApplOmega1 s0 s ➡[h] ApplOmega2 s0 s.
/5 width=1 by lifts_sort, lifts_lref, lifts_bind, lifts_flat/ qed.
lemma cpr_ApplOmega_12 (h) (G) (L) (s0) (s): ⦃G,L⦄ ⊢ ApplOmega1 s0 s ➡[h] ApplOmega2 s0 s.