X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_cpce.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_cpce.ma;h=0000000000000000000000000000000000000000;hb=21e6d5cb0c9b6d6a6b9975b78ae752120a969cd6;hp=b9b6560fb9515f36f6e7891e9d9fdea2a2cd5611;hpb=48bd1f41417fb167a100eb1613a64a711484b69a;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce.ma deleted file mode 100644 index b9b6560fb..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpce.ma +++ /dev/null @@ -1,71 +0,0 @@ -(**************************************************************************) -(* ___ *) -(* ||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-. -*)