X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fdelayed_updating%2Fsubstitution%2Flift_prototerm.ma;h=b8127eaaeac92c2cf5599756db47a4b439ec4335;hb=7008128d354c6e998a87bc2febe9f86ea714869c;hp=4a0615a3ca081265e256e54a4cb683ef7810e351;hpb=13584a37bbcde10e03c8a488f5b93e1e042da0a6;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_prototerm.ma b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_prototerm.ma
index 4a0615a3c..b8127eaae 100644
--- a/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_prototerm.ma
+++ b/matita/matita/contribs/lambdadelta/delayed_updating/substitution/lift_prototerm.ma
@@ -12,24 +12,19 @@
 (*                                                                        *)
 (**************************************************************************)
 
-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.
+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.
-
-lemma eq_lift_bi (f) (t1) (t2):
-      t1 ⇔ t2 → ↑[f]t1 ⇔ ↑[f]t2.
-/2 width=1 by subset_equivalence_ext_f1_bi/
-qed.