X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcpms_lpr.ma;h=be8c9a5fa55744ec66c99f653905e962cbf8ccc7;hp=dc6c0f0651eccaa9bda6dce507b6be0ab2e07e93;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma index dc6c0f065..be8c9a5fa 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cpms_lpr.ma @@ -20,8 +20,8 @@ include "basic_2/rt_computation/cpms_cpms.ma". (* Properties with parallel rt-transition for full local environments *******) lemma lpr_cpm_trans (n) (h) (G): - ∀L2,T1,T2. ⦃G,L2⦄ ⊢ T1 ➡[n,h] T2 → - ∀L1. ⦃G,L1⦄ ⊢ ➡[h] L2 → ⦃G,L1⦄ ⊢ T1 ➡*[n,h] T2. + ∀L2,T1,T2. ❪G,L2❫ ⊢ T1 ➡[n,h] T2 → + ∀L1. ❪G,L1❫ ⊢ ➡[h] L2 → ❪G,L1❫ ⊢ T1 ➡*[n,h] T2. #n #h #G #L2 #T1 #T2 #H @(cpm_ind … H) -n -G -L2 -T1 -T2 [ /2 width=3 by/ | /3 width=2 by cpm_cpms/ @@ -46,8 +46,8 @@ lemma lpr_cpm_trans (n) (h) (G): qed-. lemma lpr_cpms_trans (n) (h) (G): - ∀L1,L2. ⦃G,L1⦄ ⊢ ➡[h] L2 → - ∀T1,T2. ⦃G,L2⦄ ⊢ T1 ➡*[n,h] T2 → ⦃G,L1⦄ ⊢ T1 ➡*[n,h] T2. + ∀L1,L2. ❪G,L1❫ ⊢ ➡[h] L2 → + ∀T1,T2. ❪G,L2❫ ⊢ T1 ➡*[n,h] T2 → ❪G,L1❫ ⊢ T1 ➡*[n,h] T2. #n #h #G #L1 #L2 #HL12 #T1 #T2 #H @(cpms_ind_sn … H) -n -T1 /3 width=3 by lpr_cpm_trans, cpms_trans/ qed-. @@ -56,14 +56,14 @@ qed-. (* Basic_2A1: includes cpr_bind2 *) lemma cpm_bind2 (n) (h) (G) (L): - ∀V1,V2. ⦃G,L⦄ ⊢ V1 ➡[h] V2 → - ∀I,T1,T2. ⦃G,L.ⓑ{I}V2⦄ ⊢ T1 ➡[n,h] T2 → - ∀p. ⦃G,L⦄ ⊢ ⓑ{p,I}V1.T1 ➡*[n,h] ⓑ{p,I}V2.T2. + ∀V1,V2. ❪G,L❫ ⊢ V1 ➡[h] V2 → + ∀I,T1,T2. ❪G,L.ⓑ[I]V2❫ ⊢ T1 ➡[n,h] T2 → + ∀p. ❪G,L❫ ⊢ ⓑ[p,I]V1.T1 ➡*[n,h] ⓑ[p,I]V2.T2. /4 width=5 by lpr_cpm_trans, cpms_bind_dx, lpr_pair/ qed. (* Basic_2A1: includes cprs_bind2_dx *) lemma cpms_bind2_dx (n) (h) (G) (L): - ∀V1,V2. ⦃G,L⦄ ⊢ V1 ➡[h] V2 → - ∀I,T1,T2. ⦃G,L.ⓑ{I}V2⦄ ⊢ T1 ➡*[n,h] T2 → - ∀p. ⦃G,L⦄ ⊢ ⓑ{p,I}V1.T1 ➡*[n,h] ⓑ{p,I}V2.T2. + ∀V1,V2. ❪G,L❫ ⊢ V1 ➡[h] V2 → + ∀I,T1,T2. ❪G,L.ⓑ[I]V2❫ ⊢ T1 ➡*[n,h] T2 → + ∀p. ❪G,L❫ ⊢ ⓑ[p,I]V1.T1 ➡*[n,h] ⓑ[p,I]V2.T2. /4 width=5 by lpr_cpms_trans, cpms_bind_dx, lpr_pair/ qed.