X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FNLE%2Fnplus.ma;h=85dac01a9d92e62cfaf0becd52797ef3878875df;hb=3e094922bf3fec6975fdbe6feceb509eaafe0563;hp=7bcdd6010b05216352e85f093c2f35d68d208f5c;hpb=d51cbf8e8a8855d458eb7f53c017160892e42d47;p=helm.git

diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/nplus.ma b/helm/software/matita/contribs/RELATIONAL/NLE/nplus.ma
index 7bcdd6010..85dac01a9 100644
--- a/helm/software/matita/contribs/RELATIONAL/NLE/nplus.ma
+++ b/helm/software/matita/contribs/RELATIONAL/NLE/nplus.ma
@@ -12,10 +12,18 @@
 (*                                                                        *)
 (**************************************************************************)
 
-set "baseuri" "cic:/matita/RELATIONAL/NLE/nplus".
+
 
 include "NLE/defs.ma".
 
-axiom pippo: \forall x1, x2, x3. (x1 + x2 == x3) \to
-             \forall y1, y2, y3. (y1 + y2 == y3) \to
-             x1 <= y1 \to x2 < y2 \to x3 < y3.
+theorem nle_nplus: \forall p, q, r. (p + q == r) \to q <= r.
+ intros. elim H; clear H q r; autobatch.
+qed.
+
+axiom nle_nplus_comp: \forall x1, x2, x3. (x1 + x2 == x3) \to
+                      \forall y1, y2, y3. (y1 + y2 == y3) \to
+                      x1 <= y1 \to x2 <= y2 \to x3 <= y3.
+
+axiom nle_nplus_comp_lt_2: \forall x1, x2, x3. (x1 + x2 == x3) \to
+                           \forall y1, y2, y3. (y1 + y2 == y3) \to
+                           x1 <= y1 \to x2 < y2 \to x3 < y3.