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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
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15 include "basic_2/rt_computation/cpxs_tdeq.ma".
16 include "basic_2/rt_computation/fpbs_cpxs.ma".
17 include "basic_2/rt_computation/fpbg_fpbs.ma".
19 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
21 (* Properties with unbound context-sensitive parallel rt-computation ********)
23 (* Basic_2A1: was: cpxs_fpbg *)
24 lemma cpxs_tdneq_fpbg (h) (o): ∀G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ⬈*[h] T2 →
25 (T1 ≛[h, o] T2 → ⊥) → ⦃G, L, T1⦄ >[h, o] ⦃G, L, T2⦄.
26 #h #o #G #L #T1 #T2 #H #H0
27 elim (cpxs_tdneq_fwd_step_sn … H … H0) -H -H0
28 /4 width=5 by cpxs_tdeq_fpbs, fpb_cpx, ex2_3_intro/
31 lemma cpxs_fpbg_trans (h) (o): ∀G1,L1,T1,T. ⦃G1, L1⦄ ⊢ T1 ⬈*[h] T →
32 ∀G2,L2,T2. ⦃G1, L1, T⦄ >[h, o] ⦃G2, L2, T2⦄ → ⦃G1, L1, T1⦄ >[h, o] ⦃G2, L2, T2⦄.
33 /3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.