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.ma;h=967e63de50cfcd5cb8404aa8b48cfebf39aecc44;hp=13530d00863fbd0b2366305d4f1df58bd2c5965b;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hpb=2f6f2b7c01d47d23f61dd48d767bcb37aecdcfea diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx.ma index 13530d008..967e63de5 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/cnv_cpms_teqx.ma @@ -20,8 +20,8 @@ include "basic_2/dynamic/cnv_cpm_teqx_trans.ma". fact cpms_tneqx_fwd_step_sn_aux (h) (a) (n) (G) (L) (T1): ∀T2. ❪G,L❫ ⊢ T1 ➡*[h,n] T2 → ❪G,L❫ ⊢ T1 ![h,a] → (T1 ≛ T2 → ⊥) → - (∀G0,L0,T0. ❪G,L,T1❫ >[h] ❪G0,L0,T0❫ → IH_cnv_cpms_conf_lpr h a G0 L0 T0) → - (∀G0,L0,T0. ❪G,L,T1❫ >[h] ❪G0,L0,T0❫ → IH_cnv_cpm_trans_lpr h a G0 L0 T0) → + (∀G0,L0,T0. ❪G,L,T1❫ > ❪G0,L0,T0❫ → IH_cnv_cpms_conf_lpr h a G0 L0 T0) → + (∀G0,L0,T0. ❪G,L,T1❫ > ❪G0,L0,T0❫ → IH_cnv_cpm_trans_lpr h a G0 L0 T0) → ∃∃n1,n2,T0. ❪G,L❫ ⊢ T1 ➡[h,n1] T0 & T1 ≛ T0 → ⊥ & ❪G,L❫ ⊢ T0 ➡*[h,n2] T2 & n1+n2 = n. #h #a #n #G #L #T1 #T2 #H @(cpms_ind_sn … H) -n -T1 @@ -46,8 +46,8 @@ fact cpms_teqx_ind_sn (h) (a) (G) (L) (T2) (Q:relation2 …): (❪G,L❫ ⊢ T2 ![h,a] → Q 0 T2) → (∀n1,n2,T1,T. ❪G,L❫ ⊢ T1 ➡[h,n1] T → ❪G,L❫ ⊢ T1 ![h,a] → T1 ≛ T → ❪G,L❫ ⊢ T ➡*[h,n2] T2 → ❪G,L❫ ⊢ T ![h,a] → T ≛ T2 → Q n2 T → Q (n1+n2) T1) → ∀n,T1. ❪G,L❫ ⊢ T1 ➡*[h,n] T2 → ❪G,L❫ ⊢ T1 ![h,a] → T1 ≛ T2 → - (∀G0,L0,T0. ❪G,L,T1❫ >[h] ❪G0,L0,T0❫ → IH_cnv_cpms_conf_lpr h a G0 L0 T0) → - (∀G0,L0,T0. ❪G,L,T1❫ >[h] ❪G0,L0,T0❫ → IH_cnv_cpm_trans_lpr h a G0 L0 T0) → + (∀G0,L0,T0. ❪G,L,T1❫ > ❪G0,L0,T0❫ → IH_cnv_cpms_conf_lpr h a G0 L0 T0) → + (∀G0,L0,T0. ❪G,L,T1❫ > ❪G0,L0,T0❫ → IH_cnv_cpm_trans_lpr h a G0 L0 T0) → Q n T1. #h #a #G #L #T2 #Q #IB1 #IB2 #n #T1 #H @(cpms_ind_sn … H) -n -T1 @@ -59,7 +59,7 @@ fact cpms_teqx_ind_sn (h) (a) (G) (L) (T2) (Q:relation2 …): /6 width=7 by cpm_fpbq, fpbq_fpbg_trans/ (**) | -IB2 -IH -IH2 -IH1 elim (cnv_fpbg_refl_false … H0T1) -a -Q - /3 width=8 by cpm_tneqx_cpm_cpms_teqx_sym_fwd_fpbg/ + /3 width=9 by cpm_tneqx_cpm_cpms_teqx_sym_fwd_fpbg/ ] ] qed-.