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4 (* ||A|| A project by Andrea Asperti *)
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7 (* ||T|| The HELM team. *)
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15 include "basic_2/rt_transition/fpbc_fqup.ma".
16 include "basic_2/rt_computation/cpxs_teqg.ma".
17 include "basic_2/rt_computation/fpbs_cpxs.ma".
18 include "basic_2/rt_computation/fpbg_fqup.ma".
19 include "basic_2/rt_computation/fpbg_fpbs.ma".
21 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
23 (* Properties with extended context-sensitive parallel rt-computation *******)
25 (* Basic_2A1: was: cpxs_fpbg *)
26 lemma cpxs_tneqx_fpbg:
27 ∀G,L,T1,T2. ❨G,L❩ ⊢ T1 ⬈* T2 →
28 (T1 ≅ T2 → ⊥) → ❨G,L,T1❩ > ❨G,L,T2❩.
30 elim (cpxs_tneqg_fwd_step_sn … H … H0) -H -H0
31 /4 width=5 by fpbc_fpbs_fpbg, cpxs_fpbs, cpx_fpbc, sfull_dec/
34 lemma cpxs_fpbg_trans:
35 ∀G1,L1,T1,T. ❨G1,L1❩ ⊢ T1 ⬈* T →
36 ∀G2,L2,T2. ❨G1,L1,T❩ > ❨G2,L2,T2❩ → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
37 /3 width=5 by fpbs_fpbg_trans, cpxs_fpbs/ qed-.