X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fmatita%2Flibrary%2Fnat%2Fdiv_and_mod.ma;h=73344c7c46b0cf1466b0aea949755ced792fc13a;hb=ab44166935d77276c04fcce50aa8281292776e29;hp=73f90e55371c3440aad9bd8e51a116f4bd1b7b7c;hpb=78044035b4419e569df0d7f6a7f96fa32d21a19d;p=helm.git

diff --git a/helm/matita/library/nat/div_and_mod.ma b/helm/matita/library/nat/div_and_mod.ma
index 73f90e553..73344c7c4 100644
--- a/helm/matita/library/nat/div_and_mod.ma
+++ b/helm/matita/library/nat/div_and_mod.ma
@@ -15,8 +15,6 @@
 set "baseuri" "cic:/matita/nat/div_and_mod".
 
 include "nat/minus.ma".
-include "nat/le_arith.ma".
-include "nat/compare.ma".
 
 let rec mod_aux p m n: nat \def
 match (leb m n) with
@@ -128,15 +126,14 @@ cut b \leq (q1-q)*b+r1.
 cut b \leq r.
 apply lt_to_not_le r b H2 Hcut2.
 elim Hcut.assumption.
-apply trans_le ? ((q1-q)*b) ?.
+apply trans_le ? ((q1-q)*b).
 apply le_times_n.
 apply le_SO_minus.exact H6.
 rewrite < sym_plus.
 apply le_plus_n.
 rewrite < sym_times.
 rewrite > distr_times_minus.
-(* ATTENZIONE ALL' ORDINAMENTO DEI GOALS *)
-rewrite > plus_minus ? ? ? ?.
+rewrite > plus_minus.
 rewrite > sym_times.
 rewrite < H5.
 rewrite < sym_times.
@@ -156,14 +153,14 @@ cut b \leq (q-q1)*b+r.
 cut b \leq r1.
 apply lt_to_not_le r1 b H4 Hcut2.
 elim Hcut.assumption.
-apply trans_le ? ((q-q1)*b) ?.
+apply trans_le ? ((q-q1)*b).
 apply le_times_n.
 apply le_SO_minus.exact H6.
 rewrite < sym_plus.
 apply le_plus_n.
 rewrite < sym_times.
 rewrite > distr_times_minus.
-rewrite > plus_minus ? ? ? ?.
+rewrite > plus_minus.
 rewrite > sym_times.
 rewrite < H3.
 rewrite < sym_times.
@@ -277,4 +274,4 @@ apply inj_times_l m.assumption.
 qed.
 
 variant inj_times_l1:\forall n. O < n \to \forall p,q:nat.p*n = q*n \to p=q
-\def lt_O_to_injective_times_l.
\ No newline at end of file
+\def lt_O_to_injective_times_l.