Theorems · Theorem · geometry

Orientation.oangle_rotation

∀ {V : Type u_1} [inst : NormedAddCommGroup V] [inst_1 : InnerProductSpace ℝ V] [inst_2 : Fact (Module.finrank ℝ V = 2)]
  (o : Orientation ℝ V (Fin 2)) (x y : V) (θ : Real.Angle),
  o.oangle ((o.rotation θ) x) ((o.rotation θ) y) = o.oangle x y

Rotating both vectors by the same angle does not change the angle between those vectors.

Defined in

Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation

Cited by

0 results in Mathlib

Foundations

Depth 278 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceFact