matita/matita/contribs/lambdadelta/basic_2A/etc/llpx/fpbs_lpr.etc

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  14
  15 include "basic_2/reduction/cpx_lift.ma".
  16 include "basic_2/reduction/llpx_lpr.ma".
  17 include "basic_2/computation/fpbs.ma".
  18
  19 (* "BIG TREE" PARALLEL COMPUTATION FOR CLOSURES *****************************)
  20
  21 (* Properties on sn parallel reduction for local environments ***************)
  22
  23 (* Note: this is used in the closure proof *)
  24 (* Note: original proof: /4 width=5 by fpbs_strap1, lpr_fpb, cpr_fpb/ *)
  25 (* Note: this should be moved *)
  26 lemma cpr_lpr_fpbs: ∀h,g,G,L1,L2,T1,T2. ⦃G, L1⦄ ⊢ T1 ➡ T2 → ⦃G, L1⦄ ⊢ ➡ L2 →
  27                     ⦃G, L1, T1⦄ ≥[h, g] ⦃G, L2, T2⦄.
  28 /5 width=5 by fpbs_strap1, cpr_fpb, fpb_llpx, lpr_llpx/ qed.
  29
  30 (* Note: this is used in the closure proof *)
  31 (* Note: this should be moved *)
  32 lemma cpr_lpr_ssta_fpbs: ∀h,g,G,L1,L2,T1,T2,U2,l2.
  33                          ⦃G, L1⦄ ⊢ T1 ➡ T2 → ⦃G, L1⦄ ⊢ ➡ L2 →
  34                          ⦃G, L2⦄ ⊢ T2 ▪[h, g] l2+1 → ⦃G, L2⦄ ⊢ T2 •[h, g] U2 →
  35                          ⦃G, L1, T1⦄ ≥[h, g] ⦃G, L2, U2⦄.
  36 /4 width=5 by fpbs_strap1, cpr_lpr_fpbs, ssta_cpx, fpb_cpx/ qed.