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(* Test robustness of Groebner tactic in presence of disequalities *)
Require Export Reals.
Require Export NsatzR.
Open Scope R_scope.
Lemma essai :
forall yb xb m1 m2 xa ya,
xa <> xb ->
yb - 2 * m2 * xb = ya - m2 * xa ->
yb - m1 * xb = ya - m1 * xa ->
yb - ya = (2 * xb - xa) * m2 ->
yb - ya = (xb - xa) * m1.
Proof.
intros.
(* clear H. groebner used not to work when H was not cleared *)
nsatzR.
Qed.
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