OAI/Combinatorics/EuclideanRamsey/CircleSpan.lean
1 declarations, 0 contain sorry, 0 declared as axioms
- theorem
OAI.EuclideanRamsey.CircleConsequence.circle_five_affineSpanline 9Source documentation
Three actual distinct circle points already affinely span the plane. The inverse two-by-two determinant is written explicitly.
theorem circle_five_affineSpan (a : Fin 5 → Space 2) (ha : Function.Injective a) (c : Space 2) (r : ℝ) (hc : ∀ i, dist (a i) c = r) : affineSpan ℝ (Set.range a) = ⊤ := by …Mentions: OAI.EuclideanRamsey.Space