milestone update in basic_2, update in ground and static_2

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / rt_transition / fpb.ma

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 268e4528397d0de1900fcfdeb807f45fe1fc3e1a..a648ae0e91349761ad3fad64b1048db818fbf18b 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma
@@ -12,30 +12,30 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/predsubtyproper_8.ma".
-include "basic_2/s_transition/fqu.ma".
-include "basic_2/static/lfdeq.ma".
+include "basic_2/notation/relations/predsubtyproper_6.ma".
+include "static_2/s_transition/fqu.ma".
+include "static_2/static/reqx.ma".
 include "basic_2/rt_transition/lpr_lpx.ma".
 
 (* PROPER PARALLEL RST-TRANSITION FOR CLOSURES ******************************)
 
-inductive fpb (h) (o) (G1) (L1) (T1): relation3 genv lenv term ≝
-| fpb_fqu: â\88\80G2,L2,T2. â¦\83G1, L1, T1â¦\84 â\8a\90 â¦\83G2, L2, T2â¦\84 â\86\92 fpb h o G1 L1 T1 G2 L2 T2
-| fpb_cpx: â\88\80T2. â¦\83G1, L1â¦\84 â\8a¢ T1 â¬\88[h] T2 â\86\92 (T1 â\89\9b[h, o] T2 â\86\92 â\8a¥) â\86\92 fpb h o G1 L1 T1 G1 L1 T2
-| fpb_lpx: â\88\80L2. â¦\83G1, L1â¦\84 â\8a¢ â¬\88[h] L2 â\86\92 (L1 â\89\9b[h, o, T1] L2 â\86\92 â\8a¥) â\86\92 fpb h o G1 L1 T1 G1 L2 T1
+inductive fpb (G1) (L1) (T1): relation3 genv lenv term ≝
+| fpb_fqu: â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« â¬\82 â\9dªG2,L2,T2â\9d« â\86\92 fpb G1 L1 T1 G2 L2 T2
+| fpb_cpx: â\88\80T2. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 T2 â\86\92 (T1 â\89\9b T2 â\86\92 â\8a¥) â\86\92 fpb G1 L1 T1 G1 L1 T2
+| fpb_lpx: â\88\80L2. â\9dªG1,L1â\9d« â\8a¢ â¬\88 L2 â\86\92 (L1 â\89\9b[T1] L2 â\86\92 â\8a¥) â\86\92 fpb G1 L1 T1 G1 L2 T1
 .
 
 interpretation
-   "proper parallel rst-transition (closure)"
-   'PRedSubTyProper h o G1 L1 T1 G2 L2 T2 = (fpb h o G1 L1 T1 G2 L2 T2).
+  "proper parallel rst-transition (closure)"
+  'PRedSubTyProper G1 L1 T1 G2 L2 T2 = (fpb G1 L1 T1 G2 L2 T2).
 
 (* Basic properties *********************************************************)
 
 (* 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 cpm_fpb (h) (n) (G) (L):
+      ∀T1,T2. ❪G,L❫ ⊢ T1 ➡[h,n] T2 → (T1 ≛ T2 → ⊥) → ❪G,L,T1❫ ≻ ❪G,L,T2❫.
+/3 width=3 by fpb_cpx, cpm_fwd_cpx/ 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.
+lemma lpr_fpb (h) (G) (T):
+      ∀L1,L2. ❪G,L1❫ ⊢ ➡[h,0] L2 → (L1 ≛[T] L2 → ⊥) → ❪G,L1,T❫ ≻ ❪G,L2,T❫.
+/3 width=2 by fpb_lpx, lpr_fwd_lpx/ qed.