(* LOCAL ENVIRONMENT REFINEMENT FOR SUBSTITUTION ****************************)
+(* Auxiliary inversion lemmas ***********************************************)
+
fact lsubr_inv_abbr1_aux: ∀L1,L2. L1 ⊑ L2 → ∀K1,W. L1 = K1.ⓓW →
∨∨ L2 = ⋆
| ∃∃K2. K1 ⊑ K2 & L2 = K2.ⓓW