commit in ground_2, static_2, basic_2, apps_2

[helm.git] / matita / matita / contribs / lambdadelta / static_2 / relocation / lifts.ma

diff --git a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts.ma b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts.ma
index 54372cf8f4c0333fb8088c96a4b455309e71ec54..1d6225393ab9c483dee902e2184ac9fddd898fd5 100644 (file)
--- a/matita/matita/contribs/lambdadelta/static_2/relocation/lifts.ma
+++ b/matita/matita/contribs/lambdadelta/static_2/relocation/lifts.ma
@@ -356,6 +356,15 @@ elim (IHV1 f) -IHV1 #V2 #HV12
 ]
 qed-.
 
+lemma lifts_push_zero (f): ⬆*[⫯f]#O ≘ #0.
+/2 width=1 by lifts_lref/ qed.
+
+lemma lifts_push_lref (f) (i1) (i2): ⬆*[f]#i1 ≘ #i2 → ⬆*[⫯f]#(↑i1) ≘ #(↑i2).
+#f1 #i1 #i2 #H
+elim (lifts_inv_lref1 … H) -H #j #Hij #H destruct
+/3 width=7 by lifts_lref, at_push/
+qed.
+
 lemma lifts_lref_uni: ∀l,i. ⬆*[l] #i ≘ #(l+i).
 #l elim l -l /2 width=1 by lifts_lref/
 qed.