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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_computation/fpbs_fqup.ma".
16 include "basic_2/rt_computation/fpbg.ma".
18 (* PROPER PARALLEL RST-COMPUTATION FOR CLOSURES *****************************)
20 (* Advanced properties ******************************************************)
22 lemma fpbc_fpbg (G1) (G2) (L1) (L2) (T1) (T2):
23 ❨G1,L1,T1❩ ≻ ❨G2,L2,T2❩ → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
24 /3 width=13 by fpbg_intro, fpb_fpbs/ qed.
26 lemma fpbc_fpbs_fpbg (G) (L) (T):
27 ∀G1,L1,T1. ❨G1,L1,T1❩ ≻ ❨G,L,T❩ →
28 ∀G2,L2,T2. ❨G,L,T❩ ≥ ❨G2,L2,T2❩ → ❨G1,L1,T1❩ > ❨G2,L2,T2❩.
29 /2 width=9 by fpbg_intro/ qed.