X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Fcprs_lpr.ma;h=b70eb76500fd0ccd7b58545d4979af34ee9a6787;hp=8a578cf5b2c0c5bf062ef152bfa9287f4c5cd142;hb=bd53c4e895203eb049e75434f638f26b5a161a2b;hpb=3b7b8afcb429a60d716d5226a5b6ab0d003228b1 diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_lpr.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_lpr.ma index 8a578cf5b..b70eb7650 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_lpr.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/cprs_lpr.ma @@ -31,8 +31,8 @@ lemma lpr_cprs_trans (h) (G): s_rs_transitive … (λL. cpm h G L 0) (λ_. lpr h qed-. lemma cprs_lpr_conf_dx (h) (G): - ∀L0,T0,T1. ⦃G,L0⦄ ⊢ T0 ➡*[h] T1 → ∀L1. ⦃G,L0⦄ ⊢ ➡[h] L1 → - ∃∃T. ⦃G,L1⦄ ⊢ T1 ➡*[h] T & ⦃G,L1⦄ ⊢ T0 ➡*[h] T. + ∀L0,T0,T1. ❪G,L0❫ ⊢ T0 ➡*[h] T1 → ∀L1. ❪G,L0❫ ⊢ ➡[h] L1 → + ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[h] T & ❪G,L1❫ ⊢ T0 ➡*[h] T. #h #G #L0 #T0 #T1 #H @(cprs_ind_dx … H) -T1 /2 width=3 by ex2_intro/ #T #T1 #_ #HT1 #IHT0 #L1 #HL01 @@ -43,9 +43,9 @@ elim (cprs_strip … HT2 … HT3) -T qed-. lemma cprs_lpr_conf_sn (h) (G): - ∀L0,T0,T1. ⦃G,L0⦄ ⊢ T0 ➡*[h] T1 → - ∀L1. ⦃G,L0⦄ ⊢ ➡[h] L1 → - ∃∃T. ⦃G,L0⦄ ⊢ T1 ➡*[h] T & ⦃G,L1⦄ ⊢ T0 ➡*[h] T. + ∀L0,T0,T1. ❪G,L0❫ ⊢ T0 ➡*[h] T1 → + ∀L1. ❪G,L0❫ ⊢ ➡[h] L1 → + ∃∃T. ❪G,L0❫ ⊢ T1 ➡*[h] T & ❪G,L1❫ ⊢ T0 ➡*[h] T. #h #G #L0 #T0 #T1 #HT01 #L1 #HL01 elim (cprs_lpr_conf_dx … HT01 … HL01) -HT01 #T #HT1 #HT0 /3 width=3 by lpr_cpms_trans, ex2_intro/