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_sub.ma;h=b9b06348d6a8a49ab7a81739a5f3c0c9d3436405;hp=970a2fd9667647e62a0f8834ba6f3f3ce5a0a86a;hb=ca7327c20c6031829fade8bb84a3a1bb66113f54;hpb=25c634037771dff0138e5e8e3d4378183ff49b86 diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_sub.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_sub.ma index 970a2fd96..b9b06348d 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_sub.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_preserve_sub.ma @@ -21,31 +21,31 @@ include "basic_2/dynamic/cnv.ma". definition IH_cnv_cpm_trans_lpr (h) (a): relation3 genv lenv term ≝ λG,L1,T1. ❪G,L1❫ ⊢ T1 ![h,a] → - ∀n,T2. ❪G,L1❫ ⊢ T1 ➡[n,h] T2 → - ∀L2. ❪G,L1❫ ⊢ ➡[h] L2 → ❪G,L2❫ ⊢ T2 ![h,a]. + ∀n,T2. ❪G,L1❫ ⊢ T1 ➡[h,n] T2 → + ∀L2. ❪G,L1❫ ⊢ ➡[h,0] L2 → ❪G,L2❫ ⊢ T2 ![h,a]. definition IH_cnv_cpms_trans_lpr (h) (a): relation3 genv lenv term ≝ λG,L1,T1. ❪G,L1❫ ⊢ T1 ![h,a] → - ∀n,T2. ❪G,L1❫ ⊢ T1 ➡*[n,h] T2 → - ∀L2. ❪G,L1❫ ⊢ ➡[h] L2 → ❪G,L2❫ ⊢ T2 ![h,a]. + ∀n,T2. ❪G,L1❫ ⊢ T1 ➡*[h,n] T2 → + ∀L2. ❪G,L1❫ ⊢ ➡[h,0] L2 → ❪G,L2❫ ⊢ T2 ![h,a]. definition IH_cnv_cpm_conf_lpr (h) (a): relation3 genv lenv term ≝ λG,L0,T0. ❪G,L0❫ ⊢ T0 ![h,a] → - ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡[n1,h] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡[n2,h] T2 → - ∀L1. ❪G,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h] L2 → - ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[n2-n1,h] T & ❪G,L2❫ ⊢ T2 ➡*[n1-n2,h] T. + ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡[h,n1] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡[h,n2] T2 → + ∀L1. ❪G,L0❫ ⊢ ➡[h,0] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h,0] L2 → + ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[h,n2-n1] T & ❪G,L2❫ ⊢ T2 ➡*[h,n1-n2] T. definition IH_cnv_cpms_strip_lpr (h) (a): relation3 genv lenv term ≝ λG,L0,T0. ❪G,L0❫ ⊢ T0 ![h,a] → - ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡*[n1,h] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡[n2,h] T2 → - ∀L1. ❪G,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h] L2 → - ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[n2-n1,h] T & ❪G,L2❫ ⊢ T2 ➡*[n1-n2,h] T. + ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡*[h,n1] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡[h,n2] T2 → + ∀L1. ❪G,L0❫ ⊢ ➡[h,0] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h,0] L2 → + ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[h,n2-n1] T & ❪G,L2❫ ⊢ T2 ➡*[h,n1-n2] T. definition IH_cnv_cpms_conf_lpr (h) (a): relation3 genv lenv term ≝ λG,L0,T0. ❪G,L0❫ ⊢ T0 ![h,a] → - ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡*[n1,h] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡*[n2,h] T2 → - ∀L1. ❪G,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h] L2 → - ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[n2-n1,h] T & ❪G,L2❫ ⊢ T2 ➡*[n1-n2,h] T. + ∀n1,T1. ❪G,L0❫ ⊢ T0 ➡*[h,n1] T1 → ∀n2,T2. ❪G,L0❫ ⊢ T0 ➡*[h,n2] T2 → + ∀L1. ❪G,L0❫ ⊢ ➡[h,0] L1 → ∀L2. ❪G,L0❫ ⊢ ➡[h,0] L2 → + ∃∃T. ❪G,L1❫ ⊢ T1 ➡*[h,n2-n1] T & ❪G,L2❫ ⊢ T2 ➡*[h,n1-n2] T. (* Auxiliary properties for preservation ************************************)