Theorems · Theorem · geometry

AffineIsometry.angle_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] (f : P →ᵃⁱ[ℝ] P₂)
  (p₁ p₂ p₃ : P), EuclideanGeometry.angle (f p₁) (f p₂) (f p₃) = EuclideanGeometry.angle p₁ p₂ p₃

Defined in

Mathlib.Geometry.Euclidean.Angle.Unoriented.Affine

Cited by

5 results in Mathlib

Foundations

Depth 191 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsorNormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor