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pierce_birkhoff_conjecture_dim_one

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The Pierce-Birkhoff conjecture holds for `n = 1`. This was proved by Louis Mahé.

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Lean 4 Statement 
theorem pierce_birkhoff_conjecture_dim_one (f : ℝ → ℝ)
    (hf : IsPiecewisePolynomial f) :
    ∃ (ι κ : Type) (g : ι → κ → Polynomial ℝ), Finite ι ∧ Finite κ ∧
      ∀ x, f x = ⨆ i, ⨅ j, Polynomial.eval x (g i j)
ID: Wikipedia__PierceBirkhoff__pierce_birkhoff_conjecture_dim_one
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