+++ /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/substitution/drop_drop.ma".
-include "basic_2/static/sta.ma".
-
-(* STATIC TYPE ASSIGNMENT ON TERMS ******************************************)
-
-(* Main properties **********************************************************)
-
-(* Note: apparently this was missing in basic_1 *)
-theorem sta_mono: ∀h,G,L. singlevalued … (sta h G L).
-#h #G #L #T #U1 #H elim H -G -L -T -U1
-[ #G #L #k #X #H >(sta_inv_sort1 … H) -X //
-| #G #L #K #V #W #U1 #i #HLK #_ #HWU1 #IHVW #U2 #H
- elim (sta_inv_lref1 … H) -H * #K0 #V0 #W0 #HLK0 #HVW0 #HW0U2
- lapply (drop_mono … HLK0 … HLK) -HLK -HLK0 #H destruct
- lapply (IHVW … HVW0) -IHVW -HVW0 #H destruct
- >(lift_mono … HWU1 … HW0U2) -W0 -U1 //
-| #G #L #K #W #V #U1 #i #HLK #_ #HWU1 #IHWV #U2 #H
- elim (sta_inv_lref1 … H) -H * #K0 #W0 #V0 #HLK0 #HWV0 #HV0U2
- lapply (drop_mono … HLK0 … HLK) -HLK -HLK0 #H destruct
- lapply (IHWV … HWV0) -IHWV -HWV0 #H destruct
- >(lift_mono … HWU1 … HV0U2) -W -U1 //
-| #a #I #G #L #V #T #U1 #_ #IHTU1 #X #H
- elim (sta_inv_bind1 … H) -H #U2 #HTU2 #H destruct /3 width=1 by eq_f/
-| #G #L #V #T #U1 #_ #IHTU1 #X #H
- elim (sta_inv_appl1 … H) -H #U2 #HTU2 #H destruct /3 width=1 by eq_f/
-| #G #L #W #T #U1 #_ #IHTU1 #U2 #H
- lapply (sta_inv_cast1 … H) -H /2 width=1 by/
-]
-qed-.