syntactic components detached from basic_2 become 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 023c39fa2c6bd35f52e432292e5f5d575429416c..a652d5c185118fa52022eda7994f85f054e7976c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpbq.ma
@@ -12,34 +12,36 @@
 (*                                                                        *)
 (**************************************************************************)
 
-include "basic_2/notation/relations/btpred_7.ma".
-include "basic_2/s_transition/fquq.ma".
-include "basic_2/rt_transition/lfpr_lfpx.ma".
+include "basic_2/notation/relations/predsubty_8.ma".
+include "static_2/static/fdeq.ma".
+include "static_2/s_transition/fquq.ma".
+include "basic_2/rt_transition/lpr_lpx.ma".
 
 (* PARALLEL RST-TRANSITION FOR CLOSURES *************************************)
 
-(* Basic_2A1: includes: fpbq_lleq *)
-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_lfpx: ∀L2. ⦃G1, L1⦄ ⊢ ⬈[h, T1] L2 → fpbq h G1 L1 T1 G1 L2 T1
+(* 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
 .
 
 interpretation
    "parallel rst-transition (closure)"
-   'BTPRed h G1 L1 T1 G2 L2 T2 = (fpbq h G1 L1 T1 G2 L2 T2).
+   'PRedSubTy h o G1 L1 T1 G2 L2 T2 = (fpbq h o G1 L1 T1 G2 L2 T2).
 
 (* Basic properties *********************************************************)
 
-lemma fpbq_refl: ∀h. tri_reflexive … (fpbq h).
+lemma fpbq_refl (h) (o): tri_reflexive … (fpbq h o).
 /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⦄. 
+lemma cpm_fpbq (n) (h) (o) (G) (L): ∀T1,T2. ⦃G, L⦄ ⊢ T1 ➡[n, h] T2 → ⦃G, L, T1⦄ ≽[h, o] ⦃G, L, T2⦄. 
 /3 width=2 by fpbq_cpx, cpm_fwd_cpx/ qed.
 
-lemma lfpr_fpbq: ∀h,G,L1,L2,T. ⦃G, L1⦄ ⊢ ➡[h, T] L2 → ⦃G, L1, T⦄ ≽[h] ⦃G, L2, T⦄.
-/3 width=1 by fpbq_lfpx, lfpr_fwd_lfpx/ qed.
+lemma lpr_fpbq (h) (o) (G) (T): ∀L1,L2. ⦃G, L1⦄ ⊢ ➡[h] L2 → ⦃G, L1, T⦄ ≽[h, o] ⦃G, L2, T⦄.
+/3 width=1 by fpbq_lpx, lpr_fwd_lpx/ qed.
 
 (* Basic_2A1: removed theorems 2:
               fpbq_fpbqa fpbqa_inv_fpbq