Theorems · Theorem · geometry

Orientation.oangle_add_oangle_rev

∀ {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 x y + o.oangle y x = 0

Adding the angles between two vectors in each order results in 0.

Defined in

Mathlib.Geometry.Euclidean.Angle.Oriented.Basic

Cited by

2 results in Mathlib

Foundations

Depth 255 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceFact