X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_cpue.ma;fp=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_cpue.ma;h=0000000000000000000000000000000000000000;hb=bac74b5cff042d37e1abc9c961a6c41094b8a294;hp=a84fd5cd2d4447d4cab7f89178916af27c277d8f;hpb=cacd7323994f7621286dbfd93bbf4c50acfbe918;p=helm.git diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpue.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpue.ma deleted file mode 100644 index a84fd5cd2..000000000 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpue.ma +++ /dev/null @@ -1,48 +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/cpms_cnu.ma". -include "basic_2/rt_computation/cpue.ma". -include "basic_2/dynamic/cnv_preserve.ma". - -(* CONTEXT-SENSITIVE NATIVE VALIDITY FOR TERMS ******************************) - -(* Properties with evaluation for t-unbound rt-transition on terms **********) - -lemma cnv_cpue_trans (a) (h) (G) (L): - ∀T1. ⦃G,L⦄ ⊢ T1 ![a,h] → - ∀T2. ⦃G,L⦄ ⊢ T1 ⥲*[h] 𝐍⦃T2⦄ → ⦃G,L⦄ ⊢ T2 ![a,h]. -#a #h #G #L #T1 #HT1 #T2 * #n #HT12 #_ -/2 width=4 by cnv_cpms_trans/ -qed-. - -lemma cnv_cpue_cpms_conf (a) (h) (n) (G) (L): - ∀T0. ⦃G,L⦄ ⊢ T0 ![a,h] → ∀T1. ⦃G,L⦄ ⊢ T0 ➡*[n,h] T1 → - ∀T2. ⦃G,L⦄ ⊢ T0 ⥲*[h] 𝐍⦃T2⦄ → - ∃∃T. ⦃G,L⦄ ⊢ T1 ⥲*[h] 𝐍⦃T⦄ & T2 ≅ T. -#a #h #n1 #G #L #T0 #HT0 #T1 #HT01 #T2 * #n2 #HT02 #HT2 -elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 #T0 #HT10 #HT20 -lapply (cpms_inv_cnu_sn … HT20 HT2) -HT20 #HT20 -/4 width=8 by cnu_tueq_trans, ex2_intro/ -qed-. - -(* Main properties with evaluation for t-unbound rt-transition on terms *****) - -theorem cnv_cpue_mono (a) (h) (G) (L): - ∀T0. ⦃G,L⦄ ⊢ T0 ![a,h] → ∀T1. ⦃G,L⦄ ⊢ T0 ⥲*[h] 𝐍⦃T1⦄ → - ∀T2. ⦃G,L⦄ ⊢ T0 ⥲*[h] 𝐍⦃T2⦄ → T1 ≅ T2. -#a #h #G #L #T0 #HT0 #T1 * #n1 #HT01 #HT1 #T2 * #n2 #HT02 #HT2 -elim (cnv_cpms_conf … HT0 … HT01 … HT02) -T0 #T0 #HT10 #HT20 -/3 width=8 by cpms_inv_cnu_sn, tueq_canc_dx/ -qed-.