Theorems · Theorem · geometry

Orientation.rotationAux_apply

∀ {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) (x : V),
  (o.rotationAux θ) x = θ.cos • x + θ.sin • o.rightAngleRotation x

Defined in

Mathlib.Geometry.Euclidean.Angle.Oriented.Rotation

Cited by

0 results in Mathlib

Foundations

Depth 269 from the axioms · uses propext, Classical.choice, Quot.sound

Assumes

NormedAddCommGroupInnerProductSpaceFact