X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_cpts.ma;h=dc44cc5b2625408c890080b3bcd333c0934e2f4c;hp=51c02346f8baca2bee0c60c828cc559fa0deef01;hb=ca7327c20c6031829fade8bb84a3a1bb66113f54;hpb=25c634037771dff0138e5e8e3d4378183ff49b86 diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpts.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpts.ma index 51c02346f..dc44cc5b2 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpts.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpts.ma @@ -23,7 +23,7 @@ include "basic_2/dynamic/cnv_preserve_cpcs.ma". lemma cpts_cpms_conf_eq (h) (n) (a) (G) (L): ∀T0. ❪G,L❫ ⊢ T0 ![h,a] → ∀T1. ❪G,L❫ ⊢ T0 ⬆*[h,n] T1 → - ∀T2. ❪G,L❫ ⊢ T0 ➡*[n,h] T2 → ❪G,L❫ ⊢ T1 ⬌*[h] T2. + ∀T2. ❪G,L❫ ⊢ T0 ➡*[h,n] T2 → ❪G,L❫ ⊢ T1 ⬌*[h] T2. #h #a #n #G #L #T0 #HT0 #T1 #HT01 #T2 #HT02 /3 width=6 by cpts_fwd_cpms, cnv_cpms_conf_eq/ qed-. @@ -41,8 +41,8 @@ qed-. lemma cnv_inv_appl_cpts (h) (a) (nv) (nt) (p) (G) (L): ∀V1. ❪G,L❫ ⊢ V1 ![h,a] → ∀V2. ❪G,L❫ ⊢ V1 ⬆*[h,nv] V2 → ∀T1. ❪G,L❫ ⊢ T1 ![h,a] → ∀T2. ❪G,L❫ ⊢ T1 ⬆*[h,nt] T2 → - ∀V0. ❪G,L❫ ⊢ V1 ➡*[nv,h] V0 → ∀T0. ❪G,L❫ ⊢ T1 ➡*[nt,h] ⓛ[p]V0.T0 → - ∃∃W0,U0. ❪G,L❫ ⊢ V2 ➡*[h] W0 & ❪G,L❫ ⊢ T2 ➡*[h] ⓛ[p]W0.U0. + ∀V0. ❪G,L❫ ⊢ V1 ➡*[h,nv] V0 → ∀T0. ❪G,L❫ ⊢ T1 ➡*[h,nt] ⓛ[p]V0.T0 → + ∃∃W0,U0. ❪G,L❫ ⊢ V2 ➡*[h,0] W0 & ❪G,L❫ ⊢ T2 ➡*[h,0] ⓛ[p]W0.U0. #h #a #nv #nt #p #G #L #V1 #HV1 #V2 #HV12 #T1 #HT1 #T2 #HT12 #V0 #HV20 #T0 #HT20 lapply (cpts_cpms_conf_eq … HV1 … HV12 … HV20) -nv -V1 #HV20 lapply (cpts_cpms_conf_eq … HT1 … HT12 … HT20) -nt -T1 #HT20 @@ -67,8 +67,8 @@ qed-. lemma cnv_appl_cpts (h) (a) (nv) (nt) (p) (G) (L): ∀V1. ❪G,L❫ ⊢ V1 ![h,a] → ∀V2. ❪G,L❫ ⊢ V1 ⬆*[h,nv] V2 → ∀T1. ❪G,L❫ ⊢ T1 ![h,a] → ∀T2. ❪G,L❫ ⊢ T1 ⬆*[h,nt] T2 → - ∀V0. ❪G,L❫ ⊢ V2 ➡*[h] V0 → ∀T0. ❪G,L❫ ⊢ T2 ➡*[h] ⓛ[p]V0.T0 → - ∃∃W0,U0. ❪G,L❫ ⊢ V1 ➡*[nv,h] W0 & ❪G,L❫ ⊢ T1 ➡*[nt,h] ⓛ[p]W0.U0. + ∀V0. ❪G,L❫ ⊢ V2 ➡*[h,0] V0 → ∀T0. ❪G,L❫ ⊢ T2 ➡*[h,0] ⓛ[p]V0.T0 → + ∃∃W0,U0. ❪G,L❫ ⊢ V1 ➡*[h,nv] W0 & ❪G,L❫ ⊢ T1 ➡*[h,nt] ⓛ[p]W0.U0. #h #a #nv #nt #p #G #L #V1 #HV1 #V2 #HV12 #T1 #HT1 #T2 #HT12 #V0 #HV20 #T0 #HT20 /3 width=6 by cpts_cprs_trans, ex2_2_intro/ qed-.