X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fdynamic%2Fnta_delift.ma;fp=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fdynamic%2Fnta_delift.ma;h=0000000000000000000000000000000000000000;hb=708aa01d44c67343f0dac0353b52c7c2457069b3;hp=c123668b72b4f95f2528fe8963638b64cd216f89;hpb=b6ba48fc7877871aaaf9f8af415f60420d382f18;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/basic_2/dynamic/nta_delift.ma b/matita/matita/contribs/lambda_delta/basic_2/dynamic/nta_delift.ma deleted file mode 100644 index c123668b7..000000000 --- a/matita/matita/contribs/lambda_delta/basic_2/dynamic/nta_delift.ma +++ /dev/null @@ -1,88 +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/substitution/lsubs_sfr.ma". -include "basic_2/unfold/delift.ma". -include "basic_2/unfold/thin.ma". -(* -include "basic_2/equivalence/cpcs_delift.ma". -*) -include "basic_2/dynamic/nta.ma". - -(* NATIVE TYPE ASSIGNMENT ON TERMS ******************************************) - -(* Properties on reverse basic term relocation ******************************) - -(* Basic_1: was only: ty3_gen_cabbr *) -axiom thin_nta_delift_conf: ∀h,L1,T1,U1. ⦃h, L1⦄ ⊢ T1 : U1 → - ∀L2,d,e. ≼ [d, e] L1 → L1 [d, e] ≡ L2 → - ∃∃T2,U2. ⦃h, L2⦄ ⊢ T2 : U2 & - L1 ⊢ T1 [d, e] ≡ T2 & L1 ⊢ U1 [d, e] ≡ U2. -(* -#h #L1 #T1 #U1 #H @(nta_ind_alt … H) -L1 -T1 -U1 -[ #L1 #k #L2 #d #e #HL12 #X #H - >(delift_inv_sort1 … H) -X /2 width=5/ -| #L1 #K1 #V1 #W1 #U1 #i #HLK1 #_ #HWU1 #IHVW1 #L2 #d #e #HL12 #X #H -(* - elim (delift_inv_lref1 … H) -H * - [ #Hid #H destruct - elim (thin_ldrop_conf_le … HL12 … HLK1 ?) -HL12 /2 width=2/ #X #H #HLK2 - lapply (ldrop_fwd_ldrop2 … HLK1) -HLK1 #HLK1 - elim (thin_inv_delift1 … H ?) -H /2 width=1/ #K2 #V2 #HK12 #HV12 #H destruct - elim (IHVW1 … HK12 … HV12) -IHVW1 -HK12 -HV12 #W2 #HVW2 #HW12 - elim (lift_total W2 0 (i+1)) #U2 #HWU2 - @(ex2_1_intro … U2) - [ /2 width=6/ - | -HVW2 -HLK2 - ] - | - | - ] -*) -| -| -| -| #L1 #V1 #Y1 #T1 #X1 #_ #_ #IHTX1 #IHXY1 #L2 #d #e #HL12 #X #H - elim (delift_inv_flat1 … H) -H #V2 #T2 #HV12 #HT12 #H destruct - elim (IHTX1 … HL12 … HT12) -T1 #U1 #U2 #HTU2 #HU12 #HUX1 -(* - elim (IHXY1 … HL12 (ⓐV2.U2) ?) -IHXY1 -HL12 -*) - @(ex3_2_intro … (ⓐV1.U1) (ⓐV2.U2)) - [2: /2 width=1/ |3: /2 width=1/ ] -HV12 -HU12 -HUX1 - @(nta_pure … HTU2) -HTU2 - - [ /3 width=5/ | /2 width=1/ ] -*) -(* -| #L1 #T1 #X1 #Y1 #_ #_ #IHTX1 #IHXY1 #L2 #d #e #HL12 #X #H - elim (delift_inv_flat1 … H) -H #X2 #T2 #HX12 #HT12 #H destruct - elim (IHTX1 … HL12 … HT12) -T1 #U1 #U2 #HTU2 #HU12 #HUX1 - elim (IHXY1 … HL12 … HX12) -IHXY1 #W1 #W2 #HXW2 #_ #_ -Y1 -W1 - lapply (thin_cpcs_delift_mono … HUX1 … HL12 … HU12 … HX12) -HL12 -HX12 /4 width=5/ -| #L1 #T1 #X11 #X12 #V1 #_ #HX112 #_ #IHT1 #_ #L2 #d #e #HL12 #T2 #HT12 - elim (IHT1 … HL12 … HT12) -T1 -HL12 #U21 #U22 #HTU22 #HU212 #HUX211 - lapply (cpcs_trans … HUX211 … HX112) -X11 /2 width=5/ -] -*) -axiom nta_inv_lift1: ∀h,L1,T1,X. ⦃h, L1⦄ ⊢ T1 : X → - ∀L2,d,e. ⇩[d, e] L1 ≡ L2 → ∀T2. ⇧[d, e] T2 ≡ T1 → - ∃∃U1,U2. ⦃h, L2⦄ ⊢ T2 : U2 & ⇧[d, e] U2 ≡ U1 & - L1 ⊢ U1 ⬌* X. -(* -#h #L1 #T1 #X #H #L2 #d #e #HL12 #T2 #HT21 -elim (nta_inv_lift1_delift … H … HL12 … HT21) -T1 -HL12 #U1 #U2 #HTU2 * #U #HU1 #HU2 #HU1X -lapply (cpcs_cpr_conf … U … HU1X) -HU1X /2 width=3/ -U1 /2 width=5/ -qed-. -*) \ No newline at end of file