]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_prototerm.ma
update in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / substitution / lift_prototerm.ma
index 9193260452841583ff83da63e3f76f9c72a68ff5..b8127eaaeac92c2cf5599756db47a4b439ec4335 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-include "delayed_updating/substitution/lift.ma".
+include "delayed_updating/substitution/lift_path.ma".
 include "delayed_updating/syntax/prototerm.ma".
-include "ground/lib/subset_ext_equivalence.ma".
+include "ground/lib/subset_ext.ma".
 
 (* LIFT FOR PROTOTERM *******************************************************)
 
 interpretation
   "lift (prototerm)"
-  'UpArrow f t = (subset_ext_f1 ? ? (lift_gen ? proj_path f) t).
+  'UpTriangleArrow f t = (subset_ext_f1 ? ? (lift_path f) t).
 
 (* Basic constructions ******************************************************)
 
-lemma in_comp_lift_bi (f) (p) (t):
-      p ϵ t → ↑[f]p ϵ ↑[f]t.
-/2 width=1 by subset_in_ext_f1_dx/ qed.
+lemma in_comp_lift_path_term (f) (t) (p):
+      p ϵ t → 🠡[f]p ϵ 🠡[f]t.
+/2 width=1 by subset_in_ext_f1_dx/
+qed.