milestone update in basic_2, update in ground and static_2

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq.ma b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq.ma
index e8e183cb8168c91008954cc50c03c23bff6a265d..1290c29706433f869f09adacabdbe1d748cff3b3 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq.ma
@@ -12,7 +12,7 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/predsubty_7.ma".
+include "basic_2/notation/relations/predsubty_6.ma".
 include "static_2/static/feqx.ma".
 include "static_2/s_transition/fquq.ma".
 include "basic_2/rt_transition/lpr_lpx.ma".
@@ -20,28 +20,30 @@ include "basic_2/rt_transition/lpr_lpx.ma".
 (* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
 
 (* Basic_2A1: includes: fleq_fpbq fpbq_lleq *)
-inductive fpbq (h) (G1) (L1) (T1): relation3 genv lenv term ≝
-| fpbq_fquq: â\88\80G2,L2,T2. â¦\83G1,L1,T1â¦\84 â¬\82⸮ â¦\83G2,L2,T2â¦\84 â\86\92 fpbq h G1 L1 T1 G2 L2 T2
-| fpbq_cpx : â\88\80T2. â¦\83G1,L1â¦\84 â\8a¢ T1 â¬\88[h] T2 â\86\92 fpbq h G1 L1 T1 G1 L1 T2
-| fpbq_lpx : â\88\80L2. â¦\83G1,L1â¦\84 â\8a¢ â¬\88[h] L2 â\86\92 fpbq h G1 L1 T1 G1 L2 T1
-| fpbq_feqx: â\88\80G2,L2,T2. â¦\83G1,L1,T1â¦\84 â\89\9b â¦\83G2,L2,T2â¦\84 â\86\92 fpbq h G1 L1 T1 G2 L2 T2
+inductive fpbq (G1) (L1) (T1): relation3 genv lenv term ≝
+| fpbq_fquq: â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« â¬\82⸮ â\9dªG2,L2,T2â\9d« â\86\92 fpbq G1 L1 T1 G2 L2 T2
+| fpbq_cpx : â\88\80T2. â\9dªG1,L1â\9d« â\8a¢ T1 â¬\88 T2 â\86\92 fpbq G1 L1 T1 G1 L1 T2
+| fpbq_lpx : â\88\80L2. â\9dªG1,L1â\9d« â\8a¢ â¬\88 L2 â\86\92 fpbq G1 L1 T1 G1 L2 T1
+| fpbq_feqx: â\88\80G2,L2,T2. â\9dªG1,L1,T1â\9d« â\89\9b â\9dªG2,L2,T2â\9d« â\86\92 fpbq G1 L1 T1 G2 L2 T2
 .
 
 interpretation
-   "parallel rst-transition (closure)"
-   'PRedSubTy h G1 L1 T1 G2 L2 T2 = (fpbq h G1 L1 T1 G2 L2 T2).
+  "parallel rst-transition (closure)"
+  'PRedSubTy G1 L1 T1 G2 L2 T2 = (fpbq G1 L1 T1 G2 L2 T2).
 
 (* Basic properties *********************************************************)
 
-lemma fpbq_refl (h): tri_reflexive … (fpbq h).
+lemma fpbq_refl: tri_reflexive … fpbq.
 /2 width=1 by fpbq_cpx/ qed.
 
 (* Basic_2A1: includes: cpr_fpbq *)
-lemma cpm_fpbq (n) (h) (G) (L): ∀T1,T2. ⦃G,L⦄ ⊢ T1 ➡[n,h] T2 → ⦃G,L,T1⦄ ≽[h] ⦃G,L,T2⦄.
-/3 width=2 by fpbq_cpx, cpm_fwd_cpx/ qed.
+lemma cpm_fpbq (h) (n) (G) (L):
+      ∀T1,T2. ❪G,L❫ ⊢ T1 ➡[h,n] T2 → ❪G,L,T1❫ ≽ ❪G,L,T2❫.
+/3 width=3 by fpbq_cpx, cpm_fwd_cpx/ qed.
 
-lemma lpr_fpbq (h) (G) (T): ∀L1,L2. ⦃G,L1⦄ ⊢ ➡[h] L2 → ⦃G,L1,T⦄ ≽[h] ⦃G,L2,T⦄.
-/3 width=1 by fpbq_lpx, lpr_fwd_lpx/ qed.
+lemma lpr_fpbq (h) (G) (T):
+      ∀L1,L2. ❪G,L1❫ ⊢ ➡[h,0] L2 → ❪G,L1,T❫ ≽ ❪G,L2,T❫.
+/3 width=2 by fpbq_lpx, lpr_fwd_lpx/ qed.
 
 (* Basic_2A1: removed theorems 2:
               fpbq_fpbqa fpbqa_inv_fpbq