X-Git-Url: http://matita.cs.unibo.it/gitweb/?p=helm.git;a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Ffpb.ma;h=51c4141120850b6e50fad61dee448b386d504efb;hp=cce7d39ffeaf44fd98b3e83153a2b6de92861858;hb=ff612dc35167ec0c145864c9aa8ae5e1ebe20a48;hpb=e9f96fa56226dfd74de214c89d827de0c5018ac7

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma
index cce7d39ff..51c414112 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma
@@ -12,29 +12,30 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/btpredproper_8.ma".
-include "basic_2/substitution/fqu.ma".
-include "basic_2/multiple/lleq.ma".
-include "basic_2/reduction/lpx.ma".
+include "basic_2/notation/relations/predsubtyproper_8.ma".
+include "static_2/s_transition/fqu.ma".
+include "static_2/static/rdeq.ma".
+include "basic_2/rt_transition/lpr_lpx.ma".
 
-(* "RST" PROPER PARALLEL COMPUTATION FOR CLOSURES ***************************)
+(* PROPER PARALLEL RST-TRANSITION FOR CLOSURES ******************************)
 
 inductive fpb (h) (o) (G1) (L1) (T1): relation3 genv lenv term ≝
 | fpb_fqu: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ → fpb h o G1 L1 T1 G2 L2 T2
-| fpb_cpx: ∀T2. ⦃G1, L1⦄ ⊢ T1 ➡[h, o] T2 → (T1 = T2 → ⊥) → fpb h o G1 L1 T1 G1 L1 T2
-| fpb_lpx: ∀L2. ⦃G1, L1⦄ ⊢ ➡[h, o] L2 → (L1 ≡[T1, 0] L2 → ⊥) → fpb h o G1 L1 T1 G1 L2 T1
+| fpb_cpx: ∀T2. ⦃G1, L1⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛[h, o] T2 → ⊥) → fpb h o G1 L1 T1 G1 L1 T2
+| fpb_lpx: ∀L2. ⦃G1, L1⦄ ⊢ ⬈[h] L2 → (L1 ≛[h, o, T1] L2 → ⊥) → fpb h o G1 L1 T1 G1 L2 T1
 .
 
 interpretation
-   "'rst' proper parallel reduction (closure)"
-   'BTPRedProper h o G1 L1 T1 G2 L2 T2 = (fpb h o G1 L1 T1 G2 L2 T2).
+   "proper parallel rst-transition (closure)"
+   'PRedSubTyProper h o G1 L1 T1 G2 L2 T2 = (fpb h o G1 L1 T1 G2 L2 T2).
 
 (* Basic properties *********************************************************)
 
-lemma cpr_fpb: ∀h,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → (T1 = T2 → ⊥) →
-               ⦃G, L, T1⦄ ≻[h, o] ⦃G, L, T2⦄.
-/3 width=1 by fpb_cpx, cpr_cpx/ qed.
+(* Basic_2A1: includes: cpr_fpb *)
+lemma cpm_fpb (n) (h) (o) (G) (L): ∀T1,T2. ⦃G, L⦄ ⊢ T1 ➡[n, h] T2 → (T1 ≛[h, o] T2 → ⊥) →
+                                   ⦃G, L, T1⦄ ≻[h, o] ⦃G, L, T2⦄.
+/3 width=2 by fpb_cpx, cpm_fwd_cpx/ qed.
 
-lemma lpr_fpb: ∀h,o,G,L1,L2,T. ⦃G, L1⦄ ⊢ ➡ L2 → (L1 ≡[T, 0] L2 → ⊥) →
-               ⦃G, L1, T⦄ ≻[h, o] ⦃G, L2, T⦄.
-/3 width=1 by fpb_lpx, lpr_lpx/ qed.
+lemma lpr_fpb (h) (o) (G) (T): ∀L1,L2. ⦃G, L1⦄ ⊢ ➡[h] L2 → (L1 ≛[h, o, T] L2 → ⊥) →
+                           ⦃G, L1, T⦄ ≻[h, o] ⦃G, L2, T⦄.
+/3 width=1 by fpb_lpx, lpr_fwd_lpx/ qed.