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exists_inscribed_square_of_C2

Specification

It is also known that every $C^2$ Jordan curve admits an inscribed square.

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Lean 4 Statement 
theorem exists_inscribed_square_of_C2 (γ : Circle → ℝ²)
    (hγ : IsEmbedding γ) (hγ' : ContMDiff (𝓡 1) (𝓡 2) 2 γ) :
    ∃ t₁ t₂ t₃ t₄, IsRectangle (γ t₁) (γ t₂) (γ t₃) (γ t₄) 1
ID: Wikipedia__InscribedSquare__exists_inscribed_square_of_C2
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