-(* RESTRICTED LOCAL ENVIRONMENT REFINEMENT **********************************)
-
-(* Auxiliary inversion lemmas ***********************************************)
-
-fact lsubr_inv_bind1_aux: ∀L1,L2. L1 ⫃ L2 → ∀I,K1,X. L1 = K1.ⓑ{I}X →
- ∨∨ L2 = ⋆
- | ∃∃K2. K1 ⫃ K2 & L2 = K2.ⓑ{I}X
- | ∃∃K2,V,W. K1 ⫃ K2 & L2 = K2.ⓛW &
- I = Abbr & X = ⓝW.V.
-#L1 #L2 * -L1 -L2
-[ #L #J #K1 #X #H destruct /2 width=1 by or3_intro0/
-| #I #L1 #L2 #V #HL12 #J #K1 #X #H destruct /3 width=3 by or3_intro1, ex2_intro/
-| #L1 #L2 #V #W #HL12 #J #K1 #X #H destruct /3 width=6 by or3_intro2, ex4_3_intro/
-]
-qed-.
-
-lemma lsubr_inv_bind1: ∀I,K1,L2,X. K1.ⓑ{I}X ⫃ L2 →
- ∨∨ L2 = ⋆
- | ∃∃K2. K1 ⫃ K2 & L2 = K2.ⓑ{I}X
- | ∃∃K2,V,W. K1 ⫃ K2 & L2 = K2.ⓛW &
- I = Abbr & X = ⓝW.V.
-/2 width=3 by lsubr_inv_bind1_aux/ qed-.