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n_dim_euler_brick_existence

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Is there an Euler brick in $n$-dimensional space for any $n > 3$?

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Lean 4 Statement 
theorem n_dim_euler_brick_existence :
answer(sorry) ↔ ∀ n > 3, ∃ sides : Fin n → ℕ+, IsEulerHyperBrick n sides
ID: Wikipedia__EulerBrick__n_dim_euler_brick_existence
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