X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_computation%2Ffpbg_cpxs.ma;h=6fef34261e8d68ea25c7da5de9f135fe384b7f17;hb=f308429a0fde273605a2330efc63268b4ac36c99;hp=ee1e1ecad003fd14b88540bc43526bcc6acacb42;hpb=afd4afa9489fa65019ad7cdc274e261f6993b871;p=helm.git 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..6fef34261 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-.