Theorems · Theorem · geometry

Orientation.oangle_rotation_oangle_left

∀ {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), o.oangle ((o.rotation (o.oangle x y)) x) y = 0

Rotating the first vector by the angle between the two vectors results in an angle of 0.

Defined in

Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation

Cited by

2 results in Mathlib

Foundations

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

Assumes

NormedAddCommGroupInnerProductSpaceFact