X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;ds=sidebyside;f=matita%2Fmatita%2Fcontribs%2Flambdadelta%2Fground%2Farith%2Fnat_succ_iter.ma;h=29e3e4d4faa0a2793cf0ae8de688475ad4290005;hb=775ab35f714568dfcd672f0dd53a00e1ba7382cd;hp=b3eee20682dded54198b27b5036c1a0d1003f12d;hpb=5e72e41f4f86814e56d4b00959ccc56c71042a4c;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 b3eee2068..29e3e4d4f 100644
--- a/matita/matita/contribs/lambdadelta/ground/arith/nat_succ_iter.ma
+++ b/matita/matita/contribs/lambdadelta/ground/arith/nat_succ_iter.ma
@@ -17,8 +17,9 @@ include "ground/arith/nat_succ.ma".
 
 (* 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.