X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_preserve.ma;h=06df2c198851e4d87c7161cae3f1f59e49de8c38;hp=a7027e195ec234695a8765ea597b271c1946adaf;hb=ca7327c20c6031829fade8bb84a3a1bb66113f54;hpb=25c634037771dff0138e5e8e3d4378183ff49b86 diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve.ma index a7027e195..06df2c198 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve.ma @@ -43,8 +43,8 @@ qed-. lemma cnv_cpms_conf (h) (a) (G) (L): ∀T0. ❪G,L❫ ⊢ T0 ![h,a] → - ∀n1,T1. ❪G,L❫ ⊢ T0 ➡*[n1,h] T1 → ∀n2,T2. ❪G,L❫ ⊢ T0 ➡*[n2,h] T2 → - ∃∃T. ❪G,L❫ ⊢ T1 ➡*[n2-n1,h] T & ❪G,L❫ ⊢ T2 ➡*[n1-n2,h] T. + ∀n1,T1. ❪G,L❫ ⊢ T0 ➡*[h,n1] T1 → ∀n2,T2. ❪G,L❫ ⊢ T0 ➡*[h,n2] T2 → + ∃∃T. ❪G,L❫ ⊢ T1 ➡*[h,n2-n1] T & ❪G,L❫ ⊢ T2 ➡*[h,n1-n2] T. /2 width=8 by cnv_cpms_conf_lpr/ qed-. (* Basic_2A1: uses: snv_cprs_lpr *) @@ -55,21 +55,21 @@ qed-. lemma cnv_cpm_trans (h) (a) (G) (L): ∀T1. ❪G,L❫ ⊢ T1 ![h,a] → - ∀n,T2. ❪G,L❫ ⊢ T1 ➡[n,h] T2 → ❪G,L❫ ⊢ T2 ![h,a]. + ∀n,T2. ❪G,L❫ ⊢ T1 ➡[h,n] T2 → ❪G,L❫ ⊢ T2 ![h,a]. /2 width=6 by cnv_cpm_trans_lpr/ qed-. (* Note: this is the preservation property *) lemma cnv_cpms_trans (h) (a) (G) (L): ∀T1. ❪G,L❫ ⊢ T1 ![h,a] → - ∀n,T2. ❪G,L❫ ⊢ T1 ➡*[n,h] T2 → ❪G,L❫ ⊢ T2 ![h,a]. + ∀n,T2. ❪G,L❫ ⊢ T1 ➡*[h,n] T2 → ❪G,L❫ ⊢ T2 ![h,a]. /2 width=6 by cnv_cpms_trans_lpr/ qed-. lemma cnv_lpr_trans (h) (a) (G): - ∀L1,T. ❪G,L1❫ ⊢ T ![h,a] → ∀L2. ❪G,L1❫ ⊢ ➡[h] L2 → ❪G,L2❫ ⊢ T ![h,a]. + ∀L1,T. ❪G,L1❫ ⊢ T ![h,a] → ∀L2. ❪G,L1❫ ⊢ ➡[h,0] L2 → ❪G,L2❫ ⊢ T ![h,a]. /2 width=6 by cnv_cpm_trans_lpr/ qed-. lemma cnv_lprs_trans (h) (a) (G): - ∀L1,T. ❪G,L1❫ ⊢ T ![h,a] → ∀L2. ❪G,L1❫ ⊢ ➡*[h] L2 → ❪G,L2❫ ⊢ T ![h,a]. + ∀L1,T. ❪G,L1❫ ⊢ T ![h,a] → ∀L2. ❪G,L1❫ ⊢ ➡*[h,0] L2 → ❪G,L2❫ ⊢ T ![h,a]. #h #a #G #L1 #T #HT #L2 #H @(lprs_ind_dx … H) -L2 /2 width=3 by cnv_lpr_trans/ qed-.