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=d5d24893fef0558b1dd4d8e9f15c43a68a4cc2fd;hp=ee1e1ecad003fd14b88540bc43526bcc6acacb42;hb=4173283e148199871d787c53c0301891deb90713;hpb=afd4afa9489fa65019ad7cdc274e261f6993b871 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 ee1e1ecad..d5d24893f 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 @@ -14,16 +14,20 @@ include "basic_2/rt_computation/cpxs_tdeq.ma". include "basic_2/rt_computation/fpbs_cpxs.ma". -include "basic_2/rt_computation/fpbg.ma". +include "basic_2/rt_computation/fpbg_fpbs.ma". -(* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES **************************) +(* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************) -(* Properties with uncounted context-sensitive parallel rt-computation ******) +(* Properties with unbound context-sensitive parallel rt-computation ********) (* Basic_2A1: was: cpxs_fpbg *) -lemma cpxs_tdneq_fpbg: ∀h,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 → - (T1 ≛[h, o] T2 → ⊥) → ⦃G, L, T1⦄ >[h, o] ⦃G, L, T2⦄. -#h #o #G #L #T1 #T2 #H #H0 +lemma cpxs_tdneq_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 elim (cpxs_tdneq_fwd_step_sn … H … H0) -H -H0 /4 width=5 by cpxs_tdeq_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⦄. +/3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.