X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fbasic_2%2Fsubstitution%2Flift_vector.ma;h=1aa6978f6199c6db1e2157265abc407f46f83057;hb=43282d3750af8831c8100c60d75c56fdfb7ff3c9;hp=ea5458ec70d363be111d731a2846ac01f032fd75;hpb=6c985e4e2e7846a2b9abd0c84569f21c24e9ce2f;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/basic_2/substitution/lift_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/substitution/lift_vector.ma
index ea5458ec7..1aa6978f6 100644
--- a/matita/matita/contribs/lambdadelta/basic_2/substitution/lift_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/substitution/lift_vector.ma
@@ -20,7 +20,7 @@ include "basic_2/substitution/lift.ma".
 inductive liftv (d,e:nat) : relation (list term) ≝
 | liftv_nil : liftv d e (◊) (◊)
 | liftv_cons: ∀T1s,T2s,T1,T2.
-              ⇧[d, e] T1 ≡ T2 → liftv d e T1s T2s →
+              ⬆[d, e] T1 ≡ T2 → liftv d e T1s T2s →
               liftv d e (T1 @ T1s) (T2 @ T2s)
 .
 
@@ -28,17 +28,17 @@ interpretation "relocation (vector)" 'RLift d e T1s T2s = (liftv d e T1s T2s).
 
 (* Basic inversion lemmas ***************************************************)
 
-fact liftv_inv_nil1_aux: ∀T1s,T2s,d,e. ⇧[d, e] T1s ≡ T2s → T1s = ◊ → T2s = ◊.
+fact liftv_inv_nil1_aux: ∀T1s,T2s,d,e. ⬆[d, e] T1s ≡ T2s → T1s = ◊ → T2s = ◊.
 #T1s #T2s #d #e * -T1s -T2s //
 #T1s #T2s #T1 #T2 #_ #_ #H destruct
 qed-.
 
-lemma liftv_inv_nil1: ∀T2s,d,e. ⇧[d, e] ◊ ≡ T2s → T2s = ◊.
+lemma liftv_inv_nil1: ∀T2s,d,e. ⬆[d, e] ◊ ≡ T2s → T2s = ◊.
 /2 width=5 by liftv_inv_nil1_aux/ qed-.
 
-fact liftv_inv_cons1_aux: ∀T1s,T2s,d,e. ⇧[d, e] T1s ≡ T2s →
+fact liftv_inv_cons1_aux: ∀T1s,T2s,d,e. ⬆[d, e] T1s ≡ T2s →
                           ∀U1,U1s. T1s = U1 @ U1s →
-                          ∃∃U2,U2s. ⇧[d, e] U1 ≡ U2 & ⇧[d, e] U1s ≡ U2s &
+                          ∃∃U2,U2s. ⬆[d, e] U1 ≡ U2 & ⬆[d, e] U1s ≡ U2s &
                                     T2s = U2 @ U2s.
 #T1s #T2s #d #e * -T1s -T2s
 [ #U1 #U1s #H destruct
@@ -46,14 +46,14 @@ fact liftv_inv_cons1_aux: ∀T1s,T2s,d,e. ⇧[d, e] T1s ≡ T2s →
 ]
 qed-.
 
-lemma liftv_inv_cons1: ∀U1,U1s,T2s,d,e. ⇧[d, e] U1 @ U1s ≡ T2s →
-                       ∃∃U2,U2s. ⇧[d, e] U1 ≡ U2 & ⇧[d, e] U1s ≡ U2s &
+lemma liftv_inv_cons1: ∀U1,U1s,T2s,d,e. ⬆[d, e] U1 @ U1s ≡ T2s →
+                       ∃∃U2,U2s. ⬆[d, e] U1 ≡ U2 & ⬆[d, e] U1s ≡ U2s &
                                  T2s = U2 @ U2s.
 /2 width=3 by liftv_inv_cons1_aux/ qed-.
 
 (* Basic properties *********************************************************)
 
-lemma liftv_total: ∀d,e. ∀T1s:list term. ∃T2s. ⇧[d, e] T1s ≡ T2s.
+lemma liftv_total: ∀d,e. ∀T1s:list term. ∃T2s. ⬆[d, e] T1s ≡ T2s.
 #d #e #T1s elim T1s -T1s
 [ /2 width=2 by liftv_nil, ex_intro/
 | #T1 #T1s * #T2s #HT12s