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4 (* ||A|| A project by Andrea Asperti *)
6 (* ||I|| Developers: *)
7 (* ||T|| The HELM team. *)
8 (* ||A|| http://helm.cs.unibo.it *)
10 (* \ / This file is distributed under the terms of the *)
11 (* v GNU General Public License Version 2 *)
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15 include "delayed_updating/substitution/lift_path.ma".
16 include "delayed_updating/syntax/prototerm.ma".
17 include "ground/lib/subset_ext.ma".
19 (* LIFT FOR PROTOTERM *******************************************************)
23 'UpTriangleArrow f t = (subset_ext_f1 ? ? (lift_path f) t).
25 (* Basic constructions ******************************************************)
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/