- xoa: the definitions file now includes the notations file

[helm.git] / matita / matita / contribs / lambdadelta / basic_2 / substitution / lifts_vector.ma

diff --git a/matita/matita/contribs/lambdadelta/basic_2/substitution/lifts_vector.ma b/matita/matita/contribs/lambdadelta/basic_2/substitution/lifts_vector.ma
index 7046c9d32cddb0dfb1a3244eeb8caed3f28a75c1..e86d928d785b4d537956c065471dee2c6cf1bb1c 100644 (file)
--- a/matita/matita/contribs/lambdadelta/basic_2/substitution/lifts_vector.ma
+++ b/matita/matita/contribs/lambdadelta/basic_2/substitution/lifts_vector.ma
@@ -18,7 +18,7 @@ include "basic_2/substitution/lifts.ma".
 (* GENERIC TERM VECTOR RELOCATION *******************************************)
 
 inductive liftsv (des:list2 nat nat) : relation (list term) ≝
-| liftsv_nil : liftsv des ◊ ◊
+| liftsv_nil : liftsv des (◊) (◊)
 | liftsv_cons: ∀T1s,T2s,T1,T2.
                ⇧*[des] T1 ≡ T2 → liftsv des T1s T2s →
                liftsv des (T1 @ T1s) (T2 @ T2s)
@@ -34,12 +34,12 @@ lemma lifts_inv_applv1: ∀V1s,U1,T2,des. ⇧*[des] Ⓐ V1s. U1 ≡ T2 →
                         ∃∃V2s,U2. ⇧*[des] V1s ≡ V2s & ⇧*[des] U1 ≡ U2 &
                                   T2 = Ⓐ V2s. U2.
 #V1s elim V1s -V1s normalize
-[ #T1 #T2 #des #HT12
-  @(ex3_2_intro) [3,4: // |1,2: skip | // ] (**) (* explicit constructor *)
+[ #T1 #T2 #des #HT12  
+  @ex3_2_intro [3,4: // |1,2: skip | // ] (**) (* explicit constructor *)
 | #V1 #V1s #IHV1s #T1 #X #des #H
   elim (lifts_inv_flat1 … H) -H #V2 #Y #HV12 #HY #H destruct
   elim (IHV1s … HY) -IHV1s -HY #V2s #T2 #HV12s #HT12 #H destruct
-  @(ex3_2_intro) [4: // |3: /2 width=2/ |1,2: skip | // ] (**) (* explicit constructor *)
+  @(ex3_2_intro) [4: // |3: /2 width=2 by liftsv_cons/ |1,2: skip | // ] (**) (* explicit constructor *)
 ]
 qed-.
 
@@ -49,5 +49,5 @@ qed-.
 lemma lifts_applv: ∀V1s,V2s,des. ⇧*[des] V1s ≡ V2s →
                    ∀T1,T2. ⇧*[des] T1 ≡ T2 →
                    ⇧*[des] Ⓐ V1s. T1 ≡ Ⓐ V2s. T2.
-#V1s #V2s #des #H elim H -V1s -V2s // /3 width=1/
+#V1s #V2s #des #H elim H -V1s -V2s /3 width=1 by lifts_flat/
 qed.