(* Properties with atomic arity assignment **********************************)
-lemma lsuba_aaa_conf: ∀G,L1,V,A. ⦃G, L1⦄ ⊢ V ⁝ A →
- ∀L2. G ⊢ L1 ⫃⁝ L2 → ⦃G, L2⦄ ⊢ V ⁝ A.
+lemma lsuba_aaa_conf: ∀G,L1,V,A. ⦃G,L1⦄ ⊢ V ⁝ A →
+ ∀L2. G ⊢ L1 ⫃⁝ L2 → ⦃G,L2⦄ ⊢ V ⁝ A.
#G #L1 #V #A #H elim H -G -L1 -V -A
[ //
| #I #G #L1 #V #A #HA #IH #L2 #H
]
qed-.
-lemma lsuba_aaa_trans: ∀G,L2,V,A. ⦃G, L2⦄ ⊢ V ⁝ A →
- ∀L1. G ⊢ L1 ⫃⁝ L2 → ⦃G, L1⦄ ⊢ V ⁝ A.
+lemma lsuba_aaa_trans: ∀G,L2,V,A. ⦃G,L2⦄ ⊢ V ⁝ A →
+ ∀L1. G ⊢ L1 ⫃⁝ L2 → ⦃G,L1⦄ ⊢ V ⁝ A.
#G #L2 #V #A #H elim H -G -L2 -V -A
[ //
| #I #G #L2 #V #A #HA #IH #L1 #H