- new component "s_transition" for the restored fqu and fquq

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

diff --git a/matita/matita/contribs/lambdadelta/basic_2/reduction/fpbq.ma b/matita/matita/contribs/lambdadelta/basic_2/reduction/fpbq.ma
index 3e417b72369769d17acfad1f8de62964468fcca8..c8be983841b383c4ce53548b0b0bd5f80d8b48c4 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/reduction/fpbq.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/reduction/fpbq.ma
@@ -19,24 +19,24 @@ include "basic_2/reduction/lpx.ma".
 
 (* "QRST" PARALLEL REDUCTION FOR CLOSURES ***********************************)
 
-inductive fpbq (h) (g) (G1) (L1) (T1): relation3 genv lenv term ≝
-| fpbq_fquq: ∀G2,L2,T2. ⦃G1, L1, T1⦄ ⊐⸮ ⦃G2, L2, T2⦄ → fpbq h g G1 L1 T1 G2 L2 T2
-| fpbq_cpx : ∀T2. ⦃G1, L1⦄ ⊢ T1 ➡[h, g] T2 → fpbq h g G1 L1 T1 G1 L1 T2
-| fpbq_lpx : ∀L2. ⦃G1, L1⦄ ⊢ ➡[h, g] L2 → fpbq h g G1 L1 T1 G1 L2 T1
-| fpbq_lleq: ∀L2. L1 ≡[T1, 0] L2 → fpbq h g G1 L1 T1 G1 L2 T1
+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, o] T2 → fpbq h o G1 L1 T1 G1 L1 T2
+| fpbq_lpx : ∀L2. ⦃G1, L1⦄ ⊢ ➡[h, o] L2 → fpbq h o G1 L1 T1 G1 L2 T1
+| fpbq_lleq: ∀L2. L1 ≡[T1, 0] L2 → fpbq h o G1 L1 T1 G1 L2 T1
 .
 
 interpretation
    "'qrst' parallel reduction (closure)"
-   'BTPRed h g G1 L1 T1 G2 L2 T2 = (fpbq h g G1 L1 T1 G2 L2 T2).
+   'BTPRed h o G1 L1 T1 G2 L2 T2 = (fpbq h o G1 L1 T1 G2 L2 T2).
 
 (* Basic properties *********************************************************)
 
-lemma fpbq_refl: ∀h,g. tri_reflexive … (fpbq h g).
+lemma fpbq_refl: ∀h,o. tri_reflexive … (fpbq h o).
 /2 width=1 by fpbq_cpx/ qed.
 
-lemma cpr_fpbq: ∀h,g,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → ⦃G, L, T1⦄ ≽[h, g] ⦃G, L, T2⦄. 
+lemma cpr_fpbq: ∀h,o,G,L,T1,T2. ⦃G, L⦄ ⊢ T1 ➡ T2 → ⦃G, L, T1⦄ ≽[h, o] ⦃G, L, T2⦄. 
 /3 width=1 by fpbq_cpx, cpr_cpx/ qed.
 
-lemma lpr_fpbq: ∀h,g,G,L1,L2,T. ⦃G, L1⦄ ⊢ ➡ L2 → ⦃G, L1, T⦄ ≽[h, g] ⦃G, L2, T⦄.
+lemma lpr_fpbq: ∀h,o,G,L1,L2,T. ⦃G, L1⦄ ⊢ ➡ L2 → ⦃G, L1, T⦄ ≽[h, o] ⦃G, L2, T⦄.
 /3 width=1 by fpbq_lpx, lpr_lpx/ qed.