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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 Z_scope.
Hint Resolve Z.abs_nonneg Zabs_square.
Open Scope Q_scope.

Theorem sqrt2_not_rational : ~exists x:Q, x^2==2#1.