exercises ready

[helm.git] / helm / software / matita / library / nat / congruence.ma

diff --git a/helm/software/matita/library/nat/congruence.ma b/helm/software/matita/library/nat/congruence.ma
index 86f7b98143c0bbf0cbe10e75db88d14e8c33885e..948d10667261ddc7971811c359f65424a0741aef 100644 (file)
--- a/helm/software/matita/library/nat/congruence.ma
+++ b/helm/software/matita/library/nat/congruence.ma
@@ -12,8 +12,6 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/nat/congruence".
-
 include "nat/relevant_equations.ma".
 include "nat/primes.ma".
 
@@ -103,7 +101,7 @@ rewrite > distr_times_plus.
 (*rewrite > (sym_times p (m/p)).*)
 (*rewrite > sym_times.*)
 rewrite > assoc_plus.
-auto paramodulation.
+autobatch paramodulation.
 rewrite < div_mod.
 assumption.
 assumption.
@@ -120,7 +118,7 @@ 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.