X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fdynamic%2Fcnv_cpms_teqx_conf.ma;h=3271b4e11934081415831173bd181a20b6ac6081;hp=656eee30d1523d0c22d51391a54834145aa6a4dd;hb=ca7327c20c6031829fade8bb84a3a1bb66113f54;hpb=25c634037771dff0138e5e8e3d4378183ff49b86 diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx_conf.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx_conf.ma index 656eee30d..3271b4e11 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx_conf.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx_conf.ma @@ -22,10 +22,10 @@ include "basic_2/dynamic/cnv_cpms_teqx.ma". fact cnv_cpms_teqx_strip_lpr_aux (h) (a) (G0) (L0) (T0): (∀G,L,T. ❪G0,L0,T0❫ >[h] ❪G,L,T❫ → IH_cnv_cpm_trans_lpr h a G L T) → (∀G,L,T. ❪G0,L0,T0❫ >[h] ❪G,L,T❫ → IH_cnv_cpms_conf_lpr h a G L T) → - ∀n1,T1. ❪G0,L0❫ ⊢ T0 ➡*[n1,h] T1 → ❪G0,L0❫ ⊢ T0 ![h,a] → T0 ≛ T1 → - ∀n2,T2. ❪G0,L0❫ ⊢ T0 ➡[n2,h] T2 → T0 ≛ T2 → - ∀L1. ❪G0,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G0,L0❫ ⊢ ➡[h] L2 → - ∃∃T. ❪G0,L1❫ ⊢ T1 ➡[n2-n1,h] T & T1 ≛ T & ❪G0,L2❫ ⊢ T2 ➡*[n1-n2,h] T & T2 ≛ T. + ∀n1,T1. ❪G0,L0❫ ⊢ T0 ➡*[h,n1] T1 → ❪G0,L0❫ ⊢ T0 ![h,a] → T0 ≛ T1 → + ∀n2,T2. ❪G0,L0❫ ⊢ T0 ➡[h,n2] T2 → T0 ≛ T2 → + ∀L1. ❪G0,L0❫ ⊢ ➡[h,0] L1 → ∀L2. ❪G0,L0❫ ⊢ ➡[h,0] L2 → + ∃∃T. ❪G0,L1❫ ⊢ T1 ➡[h,n2-n1] T & T1 ≛ T & ❪G0,L2❫ ⊢ T2 ➡*[h,n1-n2] T & T2 ≛ T. #h #a #G #L0 #T0 #IH2 #IH1 #n1 #T1 #H1T01 #H0T0 #H2T01 @(cpms_teqx_ind_sn … H1T01 H0T0 H2T01 IH1 IH2) -n1 -T0 [ #H0T1 #n2 #T2 #H1T12 #H2T12 #L1 #HL01 #L2 #HL02 @@ -47,10 +47,10 @@ qed-. fact cnv_cpms_teqx_conf_lpr_aux (h) (a) (G0) (L0) (T0): (∀G,L,T. ❪G0,L0,T0❫ >[h] ❪G,L,T❫ → IH_cnv_cpm_trans_lpr h a G L T) → (∀G,L,T. ❪G0,L0,T0❫ >[h] ❪G,L,T❫ → IH_cnv_cpms_conf_lpr h a G L T) → - ∀n1,T1. ❪G0,L0❫ ⊢ T0 ➡*[n1,h] T1 → ❪G0,L0❫ ⊢ T0 ![h,a] → T0 ≛ T1 → - ∀n2,T2. ❪G0,L0❫ ⊢ T0 ➡*[n2,h] T2 → T0 ≛ T2 → - ∀L1. ❪G0,L0❫ ⊢ ➡[h] L1 → ∀L2. ❪G0,L0❫ ⊢ ➡[h] L2 → - ∃∃T. ❪G0,L1❫ ⊢ T1 ➡*[n2-n1,h] T & T1 ≛ T & ❪G0,L2❫ ⊢ T2 ➡*[n1-n2,h] T & T2 ≛ T. + ∀n1,T1. ❪G0,L0❫ ⊢ T0 ➡*[h,n1] T1 → ❪G0,L0❫ ⊢ T0 ![h,a] → T0 ≛ T1 → + ∀n2,T2. ❪G0,L0❫ ⊢ T0 ➡*[h,n2] T2 → T0 ≛ T2 → + ∀L1. ❪G0,L0❫ ⊢ ➡[h,0] L1 → ∀L2. ❪G0,L0❫ ⊢ ➡[h,0] L2 → + ∃∃T. ❪G0,L1❫ ⊢ T1 ➡*[h,n2-n1] T & T1 ≛ T & ❪G0,L2❫ ⊢ T2 ➡*[h,n1-n2] T & T2 ≛ T. #h #a #G #L0 #T0 #IH2 #IH1 #n1 #T1 #H1T01 #H0T0 #H2T01 generalize in match IH1; generalize in match IH2; @(cpms_teqx_ind_sn … H1T01 H0T0 H2T01 IH1 IH2) -n1 -T0