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authorGravatar Stephane Glondu <steph@glondu.net>2010-07-21 09:46:51 +0200
committerGravatar Stephane Glondu <steph@glondu.net>2010-07-21 09:46:51 +0200
commit5b7eafd0f00a16d78f99a27f5c7d5a0de77dc7e6 (patch)
tree631ad791a7685edafeb1fb2e8faeedc8379318ae /test-suite/bugs/closed/shouldsucceed/2145.v
parentda178a880e3ace820b41d38b191d3785b82991f5 (diff)
Imported Upstream snapshot 8.3~beta0+13298
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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.
+