+++ /dev/null
-(**************************************************************************)
-(* ___ *)
-(* ||M|| *)
-(* ||A|| A project by Andrea Asperti *)
-(* ||T|| *)
-(* ||I|| Developers: *)
-(* ||T|| The HELM team. *)
-(* ||A|| http://helm.cs.unibo.it *)
-(* \ / *)
-(* \ / This file is distributed under the terms of the *)
-(* v GNU General Public License Version 2 *)
-(* *)
-(**************************************************************************)
-
-include "basic_2/static/aaa_aaa.ma".
-include "basic_2/static/lsuba.ma".
-
-(* RESTRICTED REFINEMENT FOR ATOMIC ARITY ASSIGNMENT ************************)
-
-(* 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.
-#G #L1 #V #A #H elim H -G -L1 -V -A
-[ //
-| #I #G #L1 #V #A #HA #IH #L2 #H
- elim (lsuba_inv_bind1 … H) -H * /3 width=1 by aaa_zero/
- #L0 #W0 #V0 #A0 #HV0 #HW0 #HL10 #H1 #H2 destruct
- lapply (aaa_mono … HV0 … HA) #H destruct -V0 -L1 /2 width=1 by aaa_zero/
-| #I #G #K1 #A #i #_ #IH #L2 #H
- elim (lsuba_inv_bind1 … H) -H * /3 width=1 by aaa_lref/
-| /4 width=2 by lsuba_bind, aaa_abbr/
-| /4 width=1 by lsuba_bind, aaa_abst/
-| /3 width=3 by aaa_appl/
-| /3 width=1 by aaa_cast/
-]
-qed-.
-
-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
- elim (lsuba_inv_bind2 … H) -H * /3 width=1 by aaa_zero/
- #L0 #V0 #W0 #A0 #HV0 #HW0 #HL02 #H1 #H2 destruct
- lapply (aaa_mono … HW0 … HA) #H destruct -L2 /2 width=1 by aaa_zero/
-| #I #G #K2 #A #i #_ #IH #L1 #H
- elim (lsuba_inv_bind2 … H) -H * /3 width=1 by aaa_lref/
-| /4 width=2 by lsuba_bind, aaa_abbr/
-| /4 width=1 by lsuba_bind, aaa_abst/
-| /3 width=3 by aaa_appl/
-| /3 width=1 by aaa_cast/
-]
-qed-.