some restyling ...

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

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 4c262718f61894d4f6d82bc91a233c1aadc7534b..5cfee04133ff9ceb2fbca9f34ab962f31d967ec0 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/rt_transition/fpb.ma
@@ -20,9 +20,9 @@ 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
+| 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
 .
 
 interpretation
@@ -32,10 +32,10 @@ interpretation
 (* 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⦄.
+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 lpr_fpb (h) (G) (T): ∀L1,L2. ⦃G, L1⦄ ⊢ ➡[h] L2 → (L1 ≛[T] L2 → ⊥) →
-                           ⦃G, L1, T⦄ ≻[h] ⦃G, L2, T⦄.
+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.