X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FZEq%2Fsetoid.ma;h=03075bb75818909371091eaeec06d4178d59eafc;hb=d9824956d9132109ed5f23380a0a1f9c5181d18a;hp=1b6279fd1c57064bafd1c5b953da58325cb1996d;hpb=93cc04b6bdb9772d8e4d96cf019ad8394e26b92a;p=helm.git

diff --git a/helm/software/matita/contribs/RELATIONAL/ZEq/setoid.ma b/helm/software/matita/contribs/RELATIONAL/ZEq/setoid.ma
index 1b6279fd1..03075bb75 100644
--- a/helm/software/matita/contribs/RELATIONAL/ZEq/setoid.ma
+++ b/helm/software/matita/contribs/RELATIONAL/ZEq/setoid.ma
@@ -12,25 +12,25 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/RELATIONAL/ZEq/setoid".
+
 
 include "NPlus/fun.ma".
 include "ZEq/defs.ma".
 
-theorem zeq_refl: \forall z. z = z.
- intros. elim z. clear z.
- lapply (nplus_total t t1). decompose.
- auto.
+theorem zeq_refl: ∀z. z ≈ z.
+ intros; elim z. clear z.
+ lapply (nplus_total a b); decompose;
+ autobatch.
 qed.
 
-theorem zeq_sym: \forall z1,z2. z1 = z2 \to z2 = z1.
- intros. elim H. clear H z1 z2. auto.
+theorem zeq_sym: ∀z1,z2. z1 ≈ z2 → z2 ≈ z1.
+ intros; elim H; clear H z1 z2; autobatch.
 qed.
 (*
 theorem zeq_trans: \forall z1,z2. z1 = z2 \to 
                    \forall z3. z2 = z3 \to z1 = z3.
  intros 3. elim H. clear H z1 z2. 
- inversion H3. clear H3. intros. subst.
+ inversion H3. clear H3. intros. destruct.
  lapply (nplus_total n5 n6). decompose.
  lapply (nplus_total n4 n9). decompose.
  apply zeq.