+++ /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/ssta.ma".
-include "basic_2/static/aaa_lift.ma".
-include "basic_2/static/aaa_da.ma".
-
-(* ATONIC ARITY ASSIGNMENT FOR TERMS ****************************************)
-
-(* Properties on stratified static type assignment for terms ****************)
-
-lemma aaa_ssta_conf: ∀h,g,G,L. Conf3 … (aaa G L) (ssta h g G L).
-#h #g #G #L #T #A #H elim H -G -L -T -A
-[ #G #L #k #U #H
- lapply (ssta_inv_sort1 … H) -H #H destruct //
-| #I #G #L #K #V #B #i #HLK #HV #IHV #U #H
- elim (ssta_inv_lref1 … H) -H * #K0 #V0 #W0 #HLK0 #HVW0 #HU
- lapply (ldrop_mono … HLK0 … HLK) -HLK0 #H0 destruct
- lapply (ldrop_fwd_drop2 … HLK) -HLK #HLK
- @(aaa_lift … HLK … HU) -HU -L // -HV /2 width=2/
-| #a #G #L #V #T #B #A #HV #_ #_ #IHT #X #H
- elim (ssta_inv_bind1 … H) -H #U #HTU #H destruct /3 width=2/
-| #a #G #L #V #T #B #A #HV #_ #_ #IHT #X #H
- elim (ssta_inv_bind1 … H) -H #U #HTU #H destruct /3 width=2/
-| #G #L #V #T #B #A #HV #_ #_ #IHT #X #H
- elim (ssta_inv_appl1 … H) -H #U #HTU #H destruct /3 width=3/
-| #G #L #V #T #A #_ #_ #IHV #IHT #X #H
- lapply (ssta_inv_cast1 … H) -H /2 width=2/
-]
-qed-.
-
-(* Forward lemmas on stratified static type assignment for terms ************)
-
-lemma aaa_fwd_ssta: ∀h,g,G,L,T,A. ⦃G, L⦄ ⊢ T ⁝ A → ∃U. ⦃G, L⦄ ⊢ T •[h, g] U.
-#h #g #G #L #T #A #H elim (aaa_fwd_da … H) -H /2 width=3 by da_ssta/
-qed-.