Theorems · Theorem · geometry

EuclideanGeometry.angle_vsub_const

∀ {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] (p₁ p₂ p₃ p : P),
  EuclideanGeometry.angle (p₁ -ᵥ p) (p₂ -ᵥ p) (p₃ -ᵥ p) = EuclideanGeometry.angle p₁ p₂ p₃

Angles are translation invariant.

Defined in

Mathlib.Geometry.Euclidean.Angle.Unoriented.Affine

Cited by

1 results in Mathlib

Foundations

Depth 192 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceMetricSpaceNormedAddTorsor