Theorems · Theorem · geometry

EuclideanGeometry.Sphere.secondInter_map

∀ {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] {V₂ : Type u_3} {P₂ : Type u_4} [inst_4 : NormedAddCommGroup V₂]
  [inst_5 : InnerProductSpace ℝ V₂] [inst_6 : MetricSpace P₂] [inst_7 : NormedAddTorsor V₂ P₂]
  (s : EuclideanGeometry.Sphere P) (p : P) (v : V) (f : P →ᵃⁱ[ℝ] P₂),
  { center := f s.center, radius := s.radius }.secondInter (f p) (f.linearIsometry v) = f (s.secondInter p v)

Defined in

Mathlib.Geometry.Euclidean.Sphere.SecondInter

Cited by

0 results in Mathlib

Foundations

Depth 169 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsorNormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor