From 9bca4a427fd1e3a9a6362ae189d06c7b3e3199ba Mon Sep 17 00:00:00 2001 From: Ferruccio Guidi Date: Thu, 1 Mar 2012 21:01:30 +0000 Subject: [PATCH] missing files in the former commit :( --- .../Basic_2/computation/cprs_lift.ma | 42 +++++++++++++++++++ .../Basic_2/grammar/tstc_vector.ma | 33 +++++++++++++++ 2 files changed, 75 insertions(+) create mode 100644 matita/matita/contribs/lambda_delta/Basic_2/computation/cprs_lift.ma create mode 100644 matita/matita/contribs/lambda_delta/Basic_2/grammar/tstc_vector.ma diff --git a/matita/matita/contribs/lambda_delta/Basic_2/computation/cprs_lift.ma b/matita/matita/contribs/lambda_delta/Basic_2/computation/cprs_lift.ma new file mode 100644 index 000000000..ccff2f1fe --- /dev/null +++ b/matita/matita/contribs/lambda_delta/Basic_2/computation/cprs_lift.ma @@ -0,0 +1,42 @@ +(**************************************************************************) +(* ___ *) +(* ||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/cpr_lift.ma". +include "Basic_2/computation/cprs.ma". + +(* CONTEXT-SENSITIVE PARALLEL COMPUTATION ON TERMS **************************) + +(* Relocation properties ****************************************************) + +(* Basic_1: was: pr3_lift *) +lemma cprs_lift: ∀L,K,d,e. ⇩[d, e] L ≡ K → ∀T1,U1. ⇧[d, e] T1 ≡ U1 → + ∀T2. K ⊢ T1 ➡* T2 → ∀U2. ⇧[d, e] T2 ≡ U2 → + L ⊢ U1 ➡* U2. +#L #K #d #e #HLK #T1 #U1 #HTU1 #T2 #HT12 @(cprs_ind … HT12) -T2 +[ -HLK #T2 #HT12 + <(lift_mono … HTU1 … HT12) -T1 // +| -HTU1 #T #T2 #_ #HT2 #IHT2 #U2 #HTU2 + elim (lift_total T d e) #U #HTU + lapply (cpr_lift … HLK … HTU … HTU2 … HT2) -T2 -HLK /3 width=3/ +] +qed. + +(* Basic_1: was: pr3_gen_lift *) +lemma cprs_inv_lift: ∀L,K,d,e. ⇩[d, e] L ≡ K → + ∀T1,U1. ⇧[d, e] T1 ≡ U1 → ∀U2. L ⊢ U1 ➡* U2 → + ∃∃T2. ⇧[d, e] T2 ≡ U2 & K ⊢ T1 ➡* T2. +#L #K #d #e #HLK #T1 #U1 #HTU1 #U2 #HU12 @(cprs_ind … HU12) -U2 /2 width=3/ +-HTU1 #U #U2 #_ #HU2 * #T #HTU #HT1 +elim (cpr_inv_lift … HLK … HTU … HU2) -U -HLK /3 width=5/ +qed. diff --git a/matita/matita/contribs/lambda_delta/Basic_2/grammar/tstc_vector.ma b/matita/matita/contribs/lambda_delta/Basic_2/grammar/tstc_vector.ma new file mode 100644 index 000000000..a3b38fcbf --- /dev/null +++ b/matita/matita/contribs/lambda_delta/Basic_2/grammar/tstc_vector.ma @@ -0,0 +1,33 @@ +(**************************************************************************) +(* ___ *) +(* ||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/grammar/term_vector.ma". +include "Basic_2/grammar/tstc.ma". + +(* SAME TOP TERM CONSTRUCTOR ************************************************) + +(* Advanced inversion lemmas ************************************************) + +(* Basic_1: was only: iso_flats_lref_bind_false iso_flats_flat_bind_false *) +lemma tstc_inv_bind_appls_simple: ∀I,Vs,V2,T1,T2. ⒶVs.T1 ≃ ⓑ{I} V2. T2 → + 𝐒[T1] → False. +#I #Vs #V2 #T1 #T2 #H +elim (tstc_inv_pair2 … H) -H #V0 #T0 +elim Vs -Vs normalize +[ #H destruct #H + @(simple_inv_bind … H) +| #V #Vs #_ #H destruct +] +qed. + -- 2.39.2