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15 include "delayed_updating/substitution/lift_path.ma".
16 include "delayed_updating/syntax/path_proper.ma".
18 (* LIFT FOR PATH ************************************************************)
20 (* Constructions with proper condition for path *****************************)
22 lemma lift_path_proper (f) (p):
25 [ #H0 elim (ppc_inv_empty … H0)
33 /2 width=3 by ppc_rcons/
37 (* Inversions with proper condition for path ********************************)
39 lemma lift_path_inv_proper (f) (p):
42 #H0 elim (ppc_inv_empty … H0)