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update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / substitution / lift_path_structure.ma
index 773749b63762721581b377a23b1cc300e6a6dadc..08b014bee74572e1dc37caff1de840729d0ca0c7 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "delayed_updating/substitution/lift_eq.ma".
+include "delayed_updating/substitution/lift_path.ma".
 include "delayed_updating/syntax/path_structure.ma".
 
 (* LIFT FOR PATH ************************************************************)
 
 (* Constructions with structure *********************************************)
 
-lemma structure_lift_path (p) (f):
-      ⊗p = ⊗↑[f]p.
-#p elim p -p //
-* [ #n ] #p #IH #f //
-[ <lift_path_d_sn <structure_d_sn <structure_d_sn //
-| <lift_path_m_sn <structure_m_sn <structure_m_sn //
-| <lift_path_L_sn <structure_L_sn <structure_L_sn //
+lemma structure_lift_path (f) (p):
+      ⊗p = ⊗🠡[f]p.
+#f #p elim p -p //
+* [ #k ] #p #IH //
+[ <lift_path_d_dx <structure_d_dx <structure_d_dx //
+| <lift_path_m_dx <structure_m_dx <structure_m_dx //
 ]
 qed.
 
-lemma lift_path_structure (p) (f):
-      ⊗p = [f]⊗p.
-#p elim p -p //
-* [ #n ] #p #IH #f //
+lemma lift_path_structure (f) (p):
+      ⊗p = 🠡[f]⊗p.
+#f #p elim p -p //
+* [ #k ] #p #IH //
 qed.