OAI/Combinatorics/EuclideanRamsey/TensorSphere.lean
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.
- theorem
OAI.EuclideanRamsey.realCriterion_cosphericalline 18Source 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