X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Frt_transition%2Ffpb.ma;h=a648ae0e91349761ad3fad64b1048db818fbf18b;hb=3c7b4071a9ac096b02334c1d47468776b948e2de;hp=4c262718f61894d4f6d82bc91a233c1aadc7534b;hpb=4173283e148199871d787c53c0301891deb90713;p=helm.git

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 4c262718f..a648ae0e9 100644
--- 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_7.ma".
+include "basic_2/notation/relations/predsubtyproper_6.ma".
 include "static_2/s_transition/fqu.ma".
-include "static_2/static/rdeq.ma".
+include "static_2/static/reqx.ma".
 include "basic_2/rt_transition/lpr_lpx.ma".
 
 (* PROPER PARALLEL RST-TRANSITION FOR CLOSURES ******************************)
 
-inductive fpb (h) (G1) (L1) (T1): relation3 genv lenv term ≝
-| fpb_fqu: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐ ⦃G2, L2, T2⦄ → fpb h G1 L1 T1 G2 L2 T2
-| fpb_cpx: ∀T2. ⦃G1, L1⦄ ⊢ T1 ⬈[h] T2 → (T1 ≛ T2 → ⊥) → fpb h G1 L1 T1 G1 L1 T2
-| fpb_lpx: ∀L2. ⦃G1, L1⦄ ⊢ ⬈[h] L2 → (L1 ≛[T1] L2 → ⊥) → fpb h G1 L1 T1 G1 L2 T1
+inductive fpb (G1) (L1) (T1): relation3 genv lenv term ≝
+| fpb_fqu: ∀G2,L2,T2. ❪G1,L1,T1❫ ⬂ ❪G2,L2,T2❫ → fpb G1 L1 T1 G2 L2 T2
+| fpb_cpx: ∀T2. ❪G1,L1❫ ⊢ T1 ⬈ T2 → (T1 ≛ T2 → ⊥) → fpb G1 L1 T1 G1 L1 T2
+| fpb_lpx: ∀L2. ❪G1,L1❫ ⊢ ⬈ L2 → (L1 ≛[T1] L2 → ⊥) → fpb G1 L1 T1 G1 L2 T1
 .
 
 interpretation
-   "proper parallel rst-transition (closure)"
-   'PRedSubTyProper h G1 L1 T1 G2 L2 T2 = (fpb h 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) (G) (L): ∀T1,T2. ⦃G, L⦄ ⊢ T1 ➡[n, h] T2 → (T1 ≛ T2 → ⊥) →
-                                   ⦃G, L, T1⦄ ≻[h] ⦃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) (G) (T): ∀L1,L2. ⦃G, L1⦄ ⊢ ➡[h] L2 → (L1 ≛[T] L2 → ⊥) →
-                           ⦃G, L1, T⦄ ≻[h] ⦃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.