+++ /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/rt_computation/cpmuwe_cpmuwe.ma".
-include "basic_2/rt_conversion/cpce_drops.ma".
-include "basic_2/dynamic/cnv_cpmuwe.ma".
-
-(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************)
-
-(* Properties with context-sensitive parallel eta-conversion for terms ******)
-
-axiom cpce_total_cnv (h) (a) (G) (L):
- ∀T1. ⦃G,L⦄ ⊢ T1 ![h,a] → ∃T2. ⦃G,L⦄ ⊢ T1 ⬌η[h] T2.
-(*
-#h #a #G #L #T1 #HT1
-lapply (cnv_fwd_csx … HT1) #H
-generalize in match HT1; -HT1
-@(csx_ind_fpbg … H) -G -L -T1
-#G #L * *
-[ #s #_ #_ /2 width=2 by cpce_sort, ex_intro/
-| #i #H1i #IH #H2i
- elim (drops_ldec_dec L i) [ * #K #W #HLK | -H1i -IH #HnX ]
- [ lapply (cnv_inv_lref_pair … H2i … HLK) -H2i #H2W
- lapply (csx_inv_lref_pair_drops … HLK H1i) -H1i #H1W
- elim (cpmuwe_total_csx … H1W) -H1W #X #n #HWX
- elim (abst_dec X) [ * | -IH ]
- [ #p #V1 #U #H destruct
- lapply (cpmuwe_fwd_cpms … HWX) -HWX #HWX
- elim (IH G K V1) -IH
- [ #V2 #HV12
- elim (lifts_total V2 (𝐔❴↑i❵)) #W2 #HVW2
- /3 width=12 by cpce_eta_drops, ex_intro/
- | /3 width=6 by cnv_cpms_trans, cnv_fwd_pair_sn/
- | /4 width=6 by fqup_cpms_fwd_fpbg, fpbg_fqu_trans, fqup_lref/
- ]
- | #HnX
- @(ex_intro … (#i))
- @cpce_zero_drops #n0 #p #K0 #W0 #V0 #U0 #HLK0 #HWU0
- lapply (drops_mono … HLK0 … HLK) -i -L #H destruct
- lapply (cpmuwe_abst … HWU0) -HWU0 #HWU0
- elim (cnv_cpmuwe_mono … H2W … HWU0 … HWX) #_ #H -a -n -n0 -W
- elim (tweq_inv_abst_sn … H) -V0 -U0 #V0 #U0 #H destruct
- /2 width=4 by/
- ]
- | /5 width=3 by cpce_zero_drops, ex1_2_intro, ex_intro/
- ]
-| #l #_ #_ /2 width=2 by cpce_gref, ex_intro/
-| #p #I #V1 #T1 #_ #IH #H
- elim (cnv_inv_bind … H) -H #HV1 #HT1
- elim (IH … HV1) [| /3 width=1 by fpb_fpbg, fpb_fqu, fqu_pair_sn/ ] #V2 #HV12
- elim (IH … HT1) [| /4 width=1 by fpb_fpbg, fpb_fqu, fqu_bind_dx/ ] #T2 #HT12
- /3 width=2 by cpce_bind, ex_intro/
-| #I #V1 #T1 #_ #IH #H
- elim (cnv_fwd_flat … H) -H #HV1 #HT1
- elim (IH … HV1) [| /3 width=1 by fpb_fpbg, fpb_fqu, fqu_pair_sn/ ] #V2 #HV12
- elim (IH … HT1) [| /3 width=1 by fpb_fpbg, fpb_fqu, fqu_flat_dx/ ] #T2 #HT12
- /3 width=2 by cpce_flat, ex_intro/
-]
-qed-.
-*)