]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/delayed_updating/unwind/unwind2_prototerm_lift.ma
partial commit in delayed_updating
[helm.git] / matita / matita / contribs / lambdadelta / delayed_updating / unwind / unwind2_prototerm_lift.ma
index 8e3d2cf2f74d4c57c396a22c4c16adc2763f4097..5b18cfb17b9c18f8d66d695b7443c39dcaee62e9 100644 (file)
@@ -18,14 +18,22 @@ include "delayed_updating/substitution/lift_prototerm.ma".
 include "delayed_updating/unwind/unwind2_path_lift.ma".
 include "delayed_updating/unwind/unwind2_prototerm.ma".
 
-(* UNWIND FOR PROTOTERM *****************************************************)
+(* TAILED UNWIND FOR PROTOTERM **********************************************)
 
 (* Constructions with lift_prototerm ****************************************)
 
-lemma unwind2_lift_term_after (f1) (f2) (t):
+lemma lift_unwind2_term_after (f1) (f2) (t):
       ↑[f2]▼[f1]t ⇔ ▼[f2∘f1]t.
 #f1 #f2 #t @subset_eq_trans
 [| @subset_inclusion_ext_f1_compose ]
 @subset_equivalence_ext_f1_exteq #p
+@lift_unwind2_path_after
+qed.
+
+lemma unwind2_lift_term_after (f1) (f2) (t):
+      ▼[f2]↑[f1]t ⇔ ▼[f2∘f1]t.
+#f1 #f2 #t @subset_eq_trans
+[| @subset_inclusion_ext_f1_compose ]
+@subset_equivalence_ext_f1_exteq #p
 @unwind2_lift_path_after
 qed.