X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=matita%2Fmatita%2Flib%2Farithmetics%2Fminimization.ma;h=35f177331aee575a167f5910dd5b018fb4fef130;hb=b67090b7701ada9323f635ebc1219b457e17de25;hp=e558754d04145a8082d244f7f72ee046b723acd6;hpb=b4681c749d6e8812fe86d5a9adbf4d4acbc3df06;p=helm.git

diff --git a/matita/matita/lib/arithmetics/minimization.ma b/matita/matita/lib/arithmetics/minimization.ma
index e558754d0..35f177331 100644
--- a/matita/matita/lib/arithmetics/minimization.ma
+++ b/matita/matita/lib/arithmetics/minimization.ma
@@ -40,7 +40,7 @@ qed.
 
 theorem lt_max_n : ∀f.∀n. O < n → max n f < n.
 #f #n #posn @(lt_O_n_elim ? posn) #m
-normalize (cases (f m)) normalize apply le_S_S //
+normalize (cases (f m)) normalize @le_S_S //
 @le_max_n qed.
 
 theorem le_to_le_max : ∀f.∀n,m.
@@ -122,7 +122,7 @@ qed.
 theorem max_f_g: ∀f,g,n.(∀i. i < n → f i = g i) → 
   max n f = max n g.
 #f #g #n (elim n) //
-#m #Hind #ext normalize >ext normalize in Hind >Hind //
+#m #Hind #ext normalize >ext normalize in Hind; >Hind //
 #i #ltim @ext /2/
 qed.