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hilbert_17th_problem
Specification
Lean 4 Statement
theorem hilbert_17th_problem {n : ℕ} (hn : 0 < n) (f : MvPolynomial (Fin n) ℝ)
(h : ∀ x : Fin n → ℝ, 0 ≤ f.eval x) :
∃ (m : ℕ) (g : Fin m → MvRatFunc (Fin n) ℝ), algebraMap _ _ f = ∑ i, (g i) ^ 2
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