X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Farith%2Fnat_succ_iter.ma;h=7f47f9158fd05d3ecd8651079bafed31db362f4d;hb=888840f6b3a71d3d686b53b702d362ab90ab0038;hp=640e84d6de811ccc7af314610e8414711e8150ca;hpb=74c6905907b0bca229366d52450e2a6982b5b8be;p=helm.git

diff --git a/matita/matita/contribs/lambdadelta/ground/arith/nat_succ_iter.ma b/matita/matita/contribs/lambdadelta/ground/arith/nat_succ_iter.ma
index 640e84d6d..7f47f9158 100644
--- a/matita/matita/contribs/lambdadelta/ground/arith/nat_succ_iter.ma
+++ b/matita/matita/contribs/lambdadelta/ground/arith/nat_succ_iter.ma
@@ -15,10 +15,11 @@
 include "ground/arith/nat_iter.ma".
 include "ground/arith/nat_succ.ma".
 
-(* NON-NEGATIVE INTEGERS ****************************************************)
+(* SUCCESSOR FOR NON-NEGATIVE INTEGERS **************************************)
 
-(* Rewrites with niter ******************************************************)
+(* Constructions with niter *************************************************)
 
-lemma niter_succ (A) (f) (n) (a): f (f^n a) = f^{A}(↑n) a.
+(*** iter_S *)
+lemma niter_succ (A) (f) (n): f ∘ f^n ≐ f^{A}(↑n).
 #A #f * //
 qed.