OAI/Combinatorics/EuclideanRamsey/TensorSphere.lean

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1 declarations, 0 contain sorry, 0 declared as axioms

The real tensor criterion implies ordinary Euclidean cosphericity. The two constant/spatial matrix blocks are added to obtain the linear coefficient; no symmetry of the tensor matrix is assumed.

  1. theorem OAI.EuclideanRamsey.realCriterion_cospherical line 18

    Source documentation

    The real tensor criterion places every point on one ordinary Euclidean sphere.

    theorem realCriterion_cospherical {s d : ℕ} (a : Fin s → Space d)
        (hs : 0 < s) (h : RealCriterion a) :
        EuclideanGeometry.Cospherical (Set.range a) := by
    …

    Mentions: OAI.EuclideanRamsey.Space, OAI.EuclideanRamsey.RealCriterion