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update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / substitution / lift_path_length.ma
index a4b81aeebf057c0dc0200eb75b9e461f696befad..cd68cacb8342883151b8ebd5bb72c9b5717a6166 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "delayed_updating/substitution/lift_eq.ma".
+include "delayed_updating/substitution/lift_path.ma".
 include "ground/lib/list_length.ma".
 
 (* LIFT FOR PATH ************************************************************)
 
 (* Constructions with list_length *******************************************)
 
-lemma lift_path_length (p) (f):
-      ❘p❘ = ❘[f]p❘.
-#p elim p -p // * [ #n ] #p #IH #f
-[ <lift_path_d_sn
-| <lift_path_m_sn
-| <lift_path_L_sn
-| <lift_path_A_sn
-| <lift_path_S_sn
+lemma lift_path_length (f) (p):
+      ❘p❘ = ❘🠡[f]p❘.
+#f #p elim p -p // * [ #k ] #p #IH
+[ <lift_path_d_dx
+| <lift_path_m_dx
+| <lift_path_L_dx
+| <lift_path_A_dx
+| <lift_path_S_dx
 ]
 >list_length_lcons >list_length_lcons //
 qed.