(* Properties concerning atomic arity assignment ****************************)
lemma lsuba_aaa_conf: ∀G,L1,V,A. ⦃G, L1⦄ ⊢ V ⁝ A →
- â\88\80L2. G â\8a¢ L1 â\81\9dâ\8a\91 L2 → ⦃G, L2⦄ ⊢ V ⁝ A.
+ â\88\80L2. G â\8a¢ L1 â\81\9dâ«\83 L2 → ⦃G, L2⦄ ⊢ V ⁝ A.
#G #L1 #V #A #H elim H -G -L1 -V -A
[ //
| #I #G #L1 #K1 #V #A #i #HLK1 #HV #IHV #L2 #HL12
qed-.
lemma lsuba_aaa_trans: ∀G,L2,V,A. ⦃G, L2⦄ ⊢ V ⁝ A →
- â\88\80L1. G â\8a¢ L1 â\81\9dâ\8a\91 L2 → ⦃G, L1⦄ ⊢ V ⁝ A.
+ â\88\80L1. G â\8a¢ L1 â\81\9dâ«\83 L2 → ⦃G, L1⦄ ⊢ V ⁝ A.
#G #L2 #V #A #H elim H -G -L2 -V -A
[ //
| #I #G #L2 #K2 #V #A #i #HLK2 #H1V #IHV #L1 #HL12