X-Git-Url: http://matita.cs.unibo.it/gitweb/?a=blobdiff_plain;f=helm%2Fsoftware%2Fmatita%2Fcontribs%2FRELATIONAL%2FNLE%2Fnplus.ma;h=85dac01a9d92e62cfaf0becd52797ef3878875df;hb=ef05c795559108c1d33cfa048531849807867a81;hp=f469568d7306ea197d9e4e600f5eed687fd3780b;hpb=092d5c718ea90255ce1009acd5aa0942e4449898;p=helm.git diff --git a/helm/software/matita/contribs/RELATIONAL/NLE/nplus.ma b/helm/software/matita/contribs/RELATIONAL/NLE/nplus.ma index f469568d7..85dac01a9 100644 --- a/helm/software/matita/contribs/RELATIONAL/NLE/nplus.ma +++ b/helm/software/matita/contribs/RELATIONAL/NLE/nplus.ma @@ -12,10 +12,14 @@ (* *) (**************************************************************************) -set "baseuri" "cic:/matita/RELATIONAL/NLE/nplus". + include "NLE/defs.ma". +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.