+++ /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.ma".
-
-(* ATONIC ARITY ASSIGNMENT ON TERMS *****************************************)
-
-(* Main inversion lemmas ****************************************************)
-
-theorem aaa_mono: ∀G,L,T,A1. ⦃G, L⦄ ⊢ T ⁝ A1 → ∀A2. ⦃G, L⦄ ⊢ T ⁝ A2 → A1 = A2.
-#G #L #T #A1 #H elim H -G -L -T -A1
-[ #G #L #s #A2 #H >(aaa_inv_sort … H) -H //
-| #I1 #G #L #V1 #B #_ #IH #A2 #H
- elim (aaa_inv_zero … H) -H #I2 #K2 #V2 #H #HA2 destruct /2 width=1 by/
-| #I1 #G #L #B #i #_ #IH #A2 #H
- elim (aaa_inv_lref … H) -H #I2 #K2 #H #HA2 destruct /2 width=1 by/
-| #p #G #L #V #T #B1 #A1 #_ #_ #_ #IH #A2 #H
- elim (aaa_inv_abbr … H) -H /2 width=1 by/
-| #p #G #L #V1 #T1 #B1 #A1 #_ #_ #IHB1 #IHA1 #X #H
- elim (aaa_inv_abst … H) -H #B2 #A2 #HB2 #HA2 #H destruct /3 width=1 by eq_f2/
-| #G #L #V1 #T1 #B1 #A1 #_ #_ #_ #IHA1 #A2 #H
- elim (aaa_inv_appl … H) -H #B2 #_ #HA2
- lapply (IHA1 … HA2) -L #H destruct //
-| #G #L #V #T #A1 #_ #_ #_ #IHA1 #A2 #H
- elim (aaa_inv_cast … H) -H /2 width=1 by/
-]
-qed-.