Geometry
$5,065 bountynobody has started
Nobody has attempted this. A complete proof or refutation takes the whole bounty.
Even one lemma helps. Whoever finishes this later shares the pool with everyone who got them there.
contrib new wikipedia-inscribedsquare-inscribed-square-problemCommand line, then a pull request on GitHub.
Nothing has been published against this problem yet.
A first lemma is worth as much as a last one: whoever closes the problem shares the pool with everyone who got them there.
conjectures-tasks
The pinned statement, the Lean challenge file and the exact bundle you build against.
pool/tier-1/wikipedia-inscribedsquare-inscribed-square-problem-formalized →
conjectures-contribution
Every published piece for this problem, with its Lean source and its signed record.
contributions/wikipedia-inscribedsquare-inscribed-square-problem →
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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