milestone in basic_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 a652d5c185118fa52022eda7994f85f054e7976c..9c29aca6821f4ad64088932da3391a3466be40ed 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_8.ma".
+include "basic_2/notation/relations/predsubty_7.ma".
 include "static_2/static/fdeq.ma".
 include "static_2/s_transition/fquq.ma".
 include "basic_2/rt_transition/lpr_lpx.ma".
@@ -20,27 +20,27 @@ include "basic_2/rt_transition/lpr_lpx.ma".
 (* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
 
 (* Basic_2A1: includes: fleq_fpbq fpbq_lleq *)
-inductive fpbq (h) (o) (G1) (L1) (T1): relation3 genv lenv term ≝
-| fpbq_fquq: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄ → fpbq h o G1 L1 T1 G2 L2 T2
-| fpbq_cpx : ∀T2. ⦃G1, L1⦄ ⊢ T1 ⬈[h] T2 → fpbq h o G1 L1 T1 G1 L1 T2
-| fpbq_lpx : ∀L2. ⦃G1, L1⦄ ⊢ ⬈[h] L2 → fpbq h o G1 L1 T1 G1 L2 T1
-| fpbq_fdeq: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≛[h, o] ⦃G2, L2, T2⦄ → fpbq h o G1 L1 T1 G2 L2 T2
+inductive fpbq (h) (G1) (L1) (T1): relation3 genv lenv term ≝
+| fpbq_fquq: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄ → fpbq h G1 L1 T1 G2 L2 T2
+| fpbq_cpx : ∀T2. ⦃G1, L1⦄ ⊢ T1 ⬈[h] T2 → fpbq h G1 L1 T1 G1 L1 T2
+| fpbq_lpx : ∀L2. ⦃G1, L1⦄ ⊢ ⬈[h] L2 → fpbq h G1 L1 T1 G1 L2 T1
+| fpbq_fdeq: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ≛ ⦃G2, L2, T2⦄ → fpbq h G1 L1 T1 G2 L2 T2
 .
 
 interpretation
    "parallel rst-transition (closure)"
-   'PRedSubTy h o G1 L1 T1 G2 L2 T2 = (fpbq h o G1 L1 T1 G2 L2 T2).
+   'PRedSubTy h G1 L1 T1 G2 L2 T2 = (fpbq h G1 L1 T1 G2 L2 T2).
 
 (* Basic properties *********************************************************)
 
-lemma fpbq_refl (h) (o): tri_reflexive … (fpbq h o).
+lemma fpbq_refl (h): tri_reflexive … (fpbq h).
 /2 width=1 by fpbq_cpx/ qed.
 
 (* Basic_2A1: includes: cpr_fpbq *)
-lemma cpm_fpbq (n) (h) (o) (G) (L): ∀T1,T2. ⦃G, L⦄ ⊢ T1 ➡[n, h] T2 → ⦃G, L, T1⦄ ≽[h, o] ⦃G, L, T2⦄. 
+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 lpr_fpbq (h) (o) (G) (T): ∀L1,L2. ⦃G, L1⦄ ⊢ ➡[h] L2 → ⦃G, L1, T⦄ ≽[h, o] ⦃G, L2, T⦄.
+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.
 
 (* Basic_2A1: removed theorems 2: