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Theorems · Theorem · geometry

EuclideanGeometry.Sphere.isTangent_of_mem_tangentsFrom

∀ {V : Type u_1} {P : Type u_2} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : MetricSpace P]
  [inst_3 : NormedAddTorsor V P] {as : AffineSubspace ℝ P} {s : EuclideanGeometry.Sphere P} {p : P},
  as ∈ s.tangentsFrom p → s.IsTangent as
Defined in
Mathlib.Geometry.Euclidean.Sphere.Tangent
Cited by
0 results in Mathlib
Foundations
Depth 184 from the axioms · uses propext, Classical.choice, Quot.sound
Assumes
NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor
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Set · cited by 53352SetReal · cited by 25697RealNormedAddCommGroup · cited by 15752NormedAddCommGroupInnerProductSpace · cited by 3523InnerProductSpaceMetricSpace · cited by 1684MetricSpaceNormedAddTorsor · cited by 1325NormedAddTorsorAffineSubspace · cited by 871AffineSubspaceEuclideanGeometry.Sphere · cited by 233EuclideanGeometry.SphereEuclideanGeometry.Sphere.IsTangent · cited by 13Sphere.IsTangentEuclideanGeometry.Sphere.tangentsFrom · cited by 4Sphere.tangentsFromEuclideanGeometry.Sphere.isTangent_of_mem_tangentSet · cited by 1Sphere.isTangent_of_mem_t…Sphere.isTangent_of_mem_tange…CITED BYCITES

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