OAI/Geometry/Arnold/Main.lean

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  1. theorem OAI.ArnoldCounterexample.main line 14

    Source documentation

    The Hamiltonian counterexample, with the complete fixed set, the lower bound for all smooth functions, and a genuine nonzero quotient-tangent eigenvector.

    Distinct definitions of this name: ComparatorChallenges/ArnoldCounterexample.lean:111 (same statement text; different proof or body). Qualify references as OAI.ArnoldCounterexample.main@path.

    theorem main :
        ∃ φ : Q3 ≃ Q3, IsHamiltonian φ ∧ (fixedSet φ).encard = 3 ∧
          (3 : ℕ∞) < 4 ∧ 4 ≤ criticalNumber ∧ HasDegenerateFixedPoint φ := by
    …

    Mentions: OAI.ArnoldCounterexample.Q3, OAI.ArnoldCounterexample.IsHamiltonian, OAI.ArnoldCounterexample.fixedSet, OAI.ArnoldCounterexample.criticalNumber, OAI.ArnoldCounterexample.HasDegenerateFixedPoint