Theorems · Theorem · geometry

Orientation.rotation_symm

∀ {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)) (θ : Real.Angle), (o.rotation θ).symm = o.rotation (-θ)

The inverse of rotation is rotation by the negation of the angle.

Defined in

Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation

Cited by

0 results in Mathlib

Foundations

Depth 271 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceFact