1 (**************************************************************************)
4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
13 (**************************************************************************)
15 include "basic_2/relocation/ldrop_ldrop.ma".
16 include "basic_2/static/sta.ma".
18 (* STATIC TYPE ASSIGNMENT ON TERMS ******************************************)
20 (* Main properties **********************************************************)
22 (* Note: apparently this was missing in basic_1 *)
23 theorem sta_mono: ∀h,G,L. singlevalued … (sta h G L).
24 #h #G #L #T #U1 #H elim H -G -L -T -U1
25 [ #G #L #k #X #H >(sta_inv_sort1 … H) -X //
26 | #G #L #K #V #W #U1 #i #HLK #_ #HWU1 #IHVW #U2 #H
27 elim (sta_inv_lref1 … H) -H * #K0 #V0 #W0 #HLK0 #HVW0 #HW0U2
28 lapply (ldrop_mono … HLK0 … HLK) -HLK -HLK0 #H destruct
29 lapply (IHVW … HVW0) -IHVW -HVW0 #H destruct
30 >(lift_mono … HWU1 … HW0U2) -W0 -U1 //
31 | #G #L #K #W #V #U1 #i #HLK #_ #HWU1 #IHWV #U2 #H
32 elim (sta_inv_lref1 … H) -H * #K0 #W0 #V0 #HLK0 #HWV0 #HV0U2
33 lapply (ldrop_mono … HLK0 … HLK) -HLK -HLK0 #H destruct
34 lapply (IHWV … HWV0) -IHWV -HWV0 #H destruct
35 >(lift_mono … HWU1 … HV0U2) -W -U1 //
36 | #a #I #G #L #V #T #U1 #_ #IHTU1 #X #H
37 elim (sta_inv_bind1 … H) -H #U2 #HTU2 #H destruct /3 width=1/
38 | #G #L #V #T #U1 #_ #IHTU1 #X #H
39 elim (sta_inv_appl1 … H) -H #U2 #HTU2 #H destruct /3 width=1/
40 | #G #L #W #T #U1 #_ #IHTU1 #U2 #H
41 lapply (sta_inv_cast1 … H) -H /2 width=1/