OAI/Combinatorics/EuclideanRamsey/CircleSpan.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

  1. theorem OAI.EuclideanRamsey.CircleConsequence.circle_five_affineSpan line 9

    Source 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