]> matita.cs.unibo.it Git - helm.git/blobdiff - matita/matita/contribs/lambdadelta/ground/relocation/xap.ma
update in ground
[helm.git] / matita / matita / contribs / lambdadelta / ground / relocation / xap.ma
index a9096f7e457b289d5528226238a79962d037ce1b..073ffed7f560ae726941a9a370d576d02d81381d 100644 (file)
@@ -1,6 +1,7 @@
 
 (**) (* reverse include *)
 include "ground/arith/nat_rplus_pplus.ma".
+include "ground/relocation/tr_pn_eq.ma".
 include "ground/relocation/tr_compose_pn.ma".
 include "ground/relocation/nap.ma".
 include "ground/notation/functions/apply_2.ma".
@@ -70,3 +71,10 @@ lemma tr_xap_plus (n1) (n2) (f):
 <nrplus_inj_sn <nrplus_inj_dx
 >tr_pap_plus //
 qed.
+
+theorem tr_xap_eq_repl (i):
+        stream_eq_repl … (λf1,f2. f1@❨i❩ = f2@❨i❩).
+#i #f1 #f2 #Hf
+<tr_xap_unfold <tr_xap_unfold
+/3 width=1 by tr_push_eq_repl, tr_nap_eq_repl/
+qed.