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Jacobian conjecture

Exercise · jacobian_conjecture_identity

The formal statement below is all there is.

Formal statement · Lean 4.lean
theorem jacobian_conjecture_identity (H : JacobianConjectureProp k σ) :
    ∃ (G : RegularFunction k σ σ), G.comp (id k σ) = id k σ ∧
    (id k σ).comp G = id k σ := by
  sorry

Proof. sorry

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