Geometry
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
Formal statement
Proof target
import FormalConjectures.Wikipedia.InscribedSquare
import TaskSupport
namespace Bounty
theorem target : fcTypeOfName% "InscribedSquare.inscribed_square_problem" := by
sorry
end Bounty
Original conjecture (Lean type)
True ↔
∀ (γ : Circle → EuclideanSpace ℝ (Fin 2)),
Topology.IsEmbedding γ → ∃ t₁ t₂ t₃ t₄, InscribedSquare.IsRectangle (γ t₁) (γ t₂) (γ t₃) (γ t₄) 1Original conjecture source: FormalConjectures/Wikipedia/InscribedSquare.lean
Something wrong with this formalization?
A statement that does not faithfully capture the original conjecture is the one real risk here, so we would rather hear about it early - before someone spends weeks on it.
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