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14
15 include "delayed_updating/substitution/lift_path.ma".
16 include "delayed_updating/syntax/prototerm.ma".
17 include "ground/lib/subset_ext.ma".
18
19 (* LIFT FOR PROTOTERM *******************************************************)
20
21 interpretation
22   "lift (prototerm)"
23   'UpArrow f t = (subset_ext_f1 ? ? (lift_path f) t).
24
25 (* Basic constructions ******************************************************)
26
27 lemma in_comp_lift_path_term (f) (t) (p):
28       p ϵ t → ↑[f]p ϵ ↑[f]t.
29 /2 width=1 by subset_in_ext_f1_dx/
30 qed.