X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbg_cpxs.ma;h=335243516c00f64ee75497c00c05cfc9e0520fba;hp=e12dae65165469a9d5281df9bbe4d35f34bfadb5;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hpb=2f6f2b7c01d47d23f61dd48d767bcb37aecdcfea diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma index e12dae651..335243516 100644 --- a/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma +++ b/matita/matita/contribs/lambdadelta/basic_2/rt_computation/fpbg_cpxs.ma @@ -18,16 +18,18 @@ include "basic_2/rt_computation/fpbg_fpbs.ma". (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************) -(* Properties with unbound context-sensitive parallel rt-computation ********) +(* Properties with extended context-sensitive parallel rt-computation *******) (* Basic_2A1: was: cpxs_fpbg *) -lemma cpxs_tneqx_fpbg (h): ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬈*[h] T2 → - (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ >[h] ❪G,L,T2❫. -#h #G #L #T1 #T2 #H #H0 +lemma cpxs_tneqx_fpbg: + ∀G,L,T1,T2. ❪G,L❫ ⊢ T1 ⬈* T2 → + (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ > ❪G,L,T2❫. +#G #L #T1 #T2 #H #H0 elim (cpxs_tneqx_fwd_step_sn … H … H0) -H -H0 /4 width=5 by cpxs_teqx_fpbs, fpb_cpx, ex2_3_intro/ qed. -lemma cpxs_fpbg_trans (h): ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ⬈*[h] T → - ∀G2,L2,T2. ❪G1,L1,T❫ >[h] ❪G2,L2,T2❫ → ❪G1,L1,T1❫ >[h] ❪G2,L2,T2❫. +lemma cpxs_fpbg_trans: + ∀G1,L1,T1,T. ❪G1,L1❫ ⊢ T1 ⬈* T → + ∀G2,L2,T2. ❪G1,L1,T❫ > ❪G2,L2,T2❫ → ❪G1,L1,T1❫ > ❪G2,L2,T2❫. /3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.