Theorems · Theorem · geometry

Orientation.two_zsmul_oangle_neg_right

∀ {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), 2 • o.oangle x (-y) = 2 • o.oangle x y

Negating the second vector passed to oangle does not change twice the angle.

Defined in

Mathlib.Geometry.Euclidean.Angle.Oriented.Basic

Cited by

2 results in Mathlib

Foundations

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

Assumes

NormedAddCommGroupInnerProductSpaceFact