X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fcomputation%2Fcprs_lfpr.ma;fp=matita%2Fmatita%2Fcontribs%2Flambda_delta%2Fbasic_2%2Fcomputation%2Fcprs_lfpr.ma;h=0000000000000000000000000000000000000000;hb=e8998d29ab83e7b6aa495a079193705b2f6743d3;hp=a0664357754b31fde4db5704fbfcd27af472366c;hpb=bde429ac54e48de74b3d8b1df72dfcb86aa9bae5;p=helm.git diff --git a/matita/matita/contribs/lambda_delta/basic_2/computation/cprs_lfpr.ma b/matita/matita/contribs/lambda_delta/basic_2/computation/cprs_lfpr.ma deleted file mode 100644 index a06643577..000000000 --- a/matita/matita/contribs/lambda_delta/basic_2/computation/cprs_lfpr.ma +++ /dev/null @@ -1,46 +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/reducibility/ltpr_tps.ma". -include "basic_2/reducibility/cpr_ltpss.ma". -include "basic_2/reducibility/lfpr.ma". -include "basic_2/computation/cprs.ma". - -(* CONTEXT-SENSITIVE PARALLEL COMPUTATION ON TERMS **************************) - -(* Properties concerning focalized parallel reduction on local environments *) - -lemma ltpr_tpss_trans: ∀L1,L2. L1 ➡ L2 → ∀T1,T2,d,e. L2 ⊢ T1 ▶* [d, e] T2 → - ∃∃T. L1 ⊢ T1 ▶* [d, e] T & L1 ⊢ T ➡* T2. -#L1 #L2 #HL12 #T1 #T2 #d #e #H @(tpss_ind … H) -T2 -[ /2 width=3/ -| #T #T2 #_ #HT2 * #T0 #HT10 #HT0 - elim (ltpr_tps_trans … HT2 … HL12) -L2 #T3 #HT3 #HT32 - @(ex2_1_intro … HT10) -T1 (**) (* explicit constructors *) - @(cprs_strap1 … T3 …) /2 width=1/ -HT32 - @(cprs_strap1 … HT0) -HT0 /3 width=3/ -] -qed. - -(* Basic_1: was just: pr3_pr0_pr2_t *) -lemma ltpr_cpr_trans: ∀L1,L2. L1 ➡ L2 → ∀T1,T2. L2 ⊢ T1 ➡ T2 → L1 ⊢ T1 ➡* T2. -#L1 #L2 #HL12 #T1 #T2 * #T #HT1 -<(ltpr_fwd_length … HL12) #HT2 -elim (ltpr_tpss_trans … HL12 … HT2) -L2 /3 width=3/ -qed. - -(* Basic_1: was just: pr3_pr2_pr2_t *) -lemma lfpr_cpr_trans: ∀L1,L2. ⦃L1⦄ ➡ ⦃L2⦄ → ∀T1,T2. L2 ⊢ T1 ➡ T2 → L1 ⊢ T1 ➡* T2. -#L1 #L2 * /3 width=7/ -qed.