]> matita.cs.unibo.it Git - helm.git/blobdiff - helm/software/matita/contribs/RELATIONAL/ZEq/setoid.ma
removing old contribs
[helm.git] / helm / software / matita / contribs / RELATIONAL / ZEq / setoid.ma
index 37ca8f6199ae6ef81a83f1832ef06a1c1c8c7057..03075bb75818909371091eaeec06d4178d59eafc 100644 (file)
 (*                                                                        *)
 (**************************************************************************)
 
-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.
+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. autobatch.
+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