X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Flib%2Flambda-delta%2Fsubstitution%2Fsubst.ma;h=519aeaa19ce6c5f657e51bfa432d08ac75175539;hb=42680d47c033d751738fd0f84af7b45b2a91a5b8;hp=2ba14fbc1533b57cf62ccea7a22d6951ca7b6c44;hpb=2af0a3e67ae1a9134102f6a6caf02680a4851312;p=helm.git

diff --git a/matita/matita/lib/lambda-delta/substitution/subst.ma b/matita/matita/lib/lambda-delta/substitution/subst.ma
index 2ba14fbc1..519aeaa19 100644
--- a/matita/matita/lib/lambda-delta/substitution/subst.ma
+++ b/matita/matita/lib/lambda-delta/substitution/subst.ma
@@ -12,14 +12,14 @@
 include "lambda-delta/language/lenv.ma".
 include "lambda-delta/substitution/lift.ma".
 
-(* SUBSTITUTION *************************************************************)
+(* TELESCOPIC SUBSTITUTION **************************************************)
 
 inductive subst: lenv → term → nat → nat → term → Prop ≝
    | subst_sort   : ∀L,k,d,e. subst L (⋆k) d e (⋆k)
    | subst_lref_lt: ∀L,i,d,e. i < d → subst L (#i) d e (#i)
    | subst_lref_O : ∀L,V,e. 0 < e → subst (L. ♭Abbr V) #0 0 e V
    | subst_lref_S : ∀L,I,V,i,T1,T2,d,e. 
-                    d ≤ i → i < d + e → subst L #i d e T1 → [1,d]↑ T1 ≡ T2 →
+                    d ≤ i → i < d + e → subst L #i d e T1 → ↑[d,1] T1 ≡ T2 →
                     subst (L. ♭I V) #(i + 1) (d + 1) e T2
    | subst_lref_ge: ∀L,i,d,e. d + e ≤ i → subst L (#i) d e (#(i - e))
    | subst_con2   : ∀L,I,V1,V2,T1,T2,d,e.
@@ -29,8 +29,7 @@ inductive subst: lenv → term → nat → nat → term → Prop ≝
 
 interpretation "telescopic substritution" 'RSubst L T1 d e T2 = (subst L T1 d e T2).
 
-lemma subst_lift_inv: ∀d,e,T1,T2. [d,e]↑ T1 ≡ T2 → ∀L. [d,e]← L / T2 ≡ T1.
+lemma subst_lift_inv: ∀d,e,T1,T2. ↑[d,e] T1 ≡ T2 → ∀L. L ⊢ ↓[d,e] T2 ≡ T1.
 #d #e #T1 #T2 #H elim H -H d e T1 T2 /2/
-#i #d #e #Hdi #L >(minus_plus_m_m i e) in ⊢ (? ? ? ? ? %) /3/
+#i #d #e #Hdi #L >(minus_plus_m_m i e) in ⊢ (? ? ? ? ? %) /3/ (**) (* use \ldots *)
 qed.
-