partial commit: just the components before "static" ...

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / dynamic / ysc.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/dynamic/ysc.ma b/matita/matita/contribs/lambdadelta/basic_2/dynamic/ysc.ma
index 87ca83fb146376df0950ac36fb6185ee062ef6bb..09785875ceba014f45676b2ca2ae28e28912d1ef 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/dynamic/ysc.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/dynamic/ysc.ma
@@ -20,8 +20,8 @@ include "basic_2/dynamic/ypr.ma".
 inductive ysc (h) (g) (L1) (T1): relation2 lenv term ≝
 | ysc_fsup  : ∀L2,T2. ⦃L1, T1⦄ ⊃ ⦃L2, T2⦄ → ysc h g L1 T1 L2 T2
 | ysc_cpr   : ∀T2. L1 ⊢ T1 ➡ T2 → (T1 = T2 → ⊥) → ysc h g L1 T1 L1 T2
-| ysc_ssta  : ∀T2,l. ⦃h, L1⦄ ⊢ T1 •[g] ⦃l+1, T2⦄ → ysc h g L1 T1 L1 T2
-| ysc_lsubsv: ∀L2. h ⊢ L2 ¡⊑[g] L1 → (L1 = L2 → ⊥) → ysc h g L1 T1 L2 T1
+| ysc_ssta  : ∀T2,l. ⦃h, L1⦄ ⊢ T1 •[h, g] ⦃l+1, T2⦄ → ysc h g L1 T1 L1 T2
+| ysc_lsubsv: ∀L2. h ⊢ L2 ¡⊑[h, g] L1 → (L1 = L2 → ⊥) → ysc h g L1 T1 L2 T1
 .
 
 interpretation
@@ -30,15 +30,15 @@ interpretation
 
 (* Basic properties *********************************************************)
 
-lemma ysc_ypr: ∀h,g,L1,L2,T1,T2. h ⊢ ⦃L1, T1⦄ ≻[g] ⦃L2, T2⦄ →
-               h ⊢ ⦃L1, T1⦄ ≽[g] ⦃L2, T2⦄.
+lemma ysc_ypr: ∀h,g,L1,L2,T1,T2. h ⊢ ⦃L1, T1⦄ ≻[h, g] ⦃L2, T2⦄ →
+               h ⊢ ⦃L1, T1⦄ ≽[h, g] ⦃L2, T2⦄.
 #h #g #L1 #L2 #T1 #T2 * -L2 -T2 /2 width=1/ /2 width=2/
 qed.
 
 (* Inversion lemmas on "big tree" parallel reduction for closures ***********)
 
-lemma ypr_inv_ysc: ∀h,g,L1,L2,T1,T2. h ⊢ ⦃L1, T1⦄ ≽[g] ⦃L2, T2⦄ →
-                   h ⊢ ⦃L1, T1⦄ ≻[g] ⦃L2, T2⦄ ∨ (L1 ⊢ ➡ L2 ∧ T1 = T2).
+lemma ypr_inv_ysc: ∀h,g,L1,L2,T1,T2. h ⊢ ⦃L1, T1⦄ ≽[h, g] ⦃L2, T2⦄ →
+                   h ⊢ ⦃L1, T1⦄ ≻[h, g] ⦃L2, T2⦄ ∨ (L1 ⊢ ➡ L2 ∧ T1 = T2).
 #h #g #L1 #L2 #T1 #T2 * -L2 -T2 /3 width=1/ /3 width=2/
 [ #T2 #HT12 elim (term_eq_dec T1 T2) #H destruct /3 width=1/ /4 width=1/
 | #L2 #HL21 elim (lenv_eq_dec L1 L2) #H destruct /3 width=1/ /4 width=1/