Theorems · Definition · geometry

EuclideanGeometry.Sphere.IsTangent

{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] → EuclideanGeometry.Sphere P → AffineSubspace ℝ P → Prop

The affine subspace as is tangent to the sphere s at some point.

Defined in

Mathlib.Geometry.Euclidean.Sphere.Tangent

Cited by

13 results in Mathlib

Foundations

Depth 163 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor