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(* Micromega: A reflexive tactic using the Positivstellensatz           *)
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(*  Frédéric Besson (Irisa/Inria) 2006-2008                             *)
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Open Scope R_scope.
(* Other (simple) examples *)

Lemma vcgen_25 : forall
(n : R)
(m : R)
(jt : R)
(j : R)
(it : R)
(i : R)
(H0 : 1 * it + (-2%R  ) * i + (-1%R  ) = 0)
(H :  1 * jt + (-2  ) * j + (-1  ) = 0)
(H1 : 1 * n + (-10  ) = 0)
(H2 : 0 <= (-4028  )  * i + (6222  ) * j + (705  )  * m + (-16674  ))
(H3 : 0 <= (-418  ) * i + (651  ) * j + (94  ) * m + (-1866  ))
(H4 : 0 <= (-209  ) * i + (302  ) * j + (47  ) * m + (-839  ))
(H5 : 0 <= (-1  ) * i + 1 * j + (-1  ))
(H6 : 0 <= (-1  ) * j + 1 * m + (0  ))
(H7 : 0 <= (1  ) * j + (5  ) * m + (-27  ))
(H8 : 0 <= (2  ) * j + (-1  ) * m + (2  ))
(H9 : 0 <= (7  ) * j + (10  ) * m + (-74  ))
(H10 : 0 <= (18  ) * j + (-139  ) * m + (1188  ))
(H11 : 0 <= 1  * i + (0  ))
(H13 : 0 <= (121  )  * i + (810  )  * j + (-7465  ) * m + (64350  )),
(( 1 ) = (-2  ) * i + it).