X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Flibrary%2Fnat%2Fcongruence.ma;h=0a635ff78d9dc98ce0e68bae63b028a218ef7b64;hb=73a66cce6e72c654fdcd0ce760c405a74af70d08;hp=753745d4540d23f1378fcd3f4ac9cbc2791f14e0;hpb=c445ba5534cccde19016c92660ab52777af221c0;p=helm.git

diff --git a/helm/software/matita/library/nat/congruence.ma b/helm/software/matita/library/nat/congruence.ma
index 753745d45..0a635ff78 100644
--- a/helm/software/matita/library/nat/congruence.ma
+++ b/helm/software/matita/library/nat/congruence.ma
@@ -1,5 +1,5 @@
 (**************************************************************************)
-(*       ___	                                                          *)
+(*       ___	                                                            *)
 (*      ||M||                                                             *)
 (*      ||A||       A project by Andrea Asperti                           *)
 (*      ||T||                                                             *)
@@ -21,12 +21,7 @@ definition S_mod: nat \to nat \to nat \def
 definition congruent: nat \to nat \to nat \to Prop \def
 \lambda n,m,p:nat. mod n p = mod m p.
 
-interpretation "congruent" 'congruent n m p =
-  (cic:/matita/nat/congruence/congruent.con n m p).
-
-notation < "hvbox(n break \cong\sub p m)"
-  (*non associative*) with precedence 45
-for @{ 'congruent $n $m $p }.
+interpretation "congruent" 'congruent n m p = (congruent n m p).
 
 theorem congruent_n_n: \forall n,p:nat.congruent n n p.
 intros.unfold congruent.reflexivity.
@@ -118,7 +113,7 @@ qed.
 theorem divides_to_congruent: \forall n,m,p:nat. O < p \to m \le n \to 
 divides p (n - m) \to congruent n m p.
 intros.elim H2.
-apply (eq_times_plus_to_congruent n m p n2).
+apply (eq_times_plus_to_congruent n m p n1).
 assumption.
 rewrite < sym_plus.
 apply minus_to_plus.assumption.